[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &7 \end{cases} \\\\\\ A = 3000e^{0.04\cdot 7} \implies \boxed{A \approx 3969.39} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2800\\ r=rate\to 5.2\%\to \frac{5.2}{100}\dotfill &0.052\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A = 2800\left(1+\frac{0.052}{4}\right)^{4\cdot 7}\implies A=2800(1.013)^{28} \implies \boxed{A \approx 4019.97} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} 4019.97 ~~ > ~~ 3969.39 \end{array}}~\hfill[/tex]
1s Jeremy drew Figure 1 and Louisa drew Figure 2.
Part A
Figure 1
Figure 2
Jeremy says both figures are rectangles. Do you agree with Jeremy?
Support your answer.
Jeremy is wrong as I explained below.
As we know,
A rectangle is a quadrilateral with four right angles (90-degree angles). It is a type of parallelogram where opposite sides are equal in length. In a rectangle, the opposite sides are parallel and all angles are right angles. A square is a specific type of rectangle where all sides are equal in length. It is a regular quadrilateral with all angles equal to 90 degrees. In a square, all four sides are equal and all angles are right angles.Thus, as we can see from the figure figure 1 is a rectangle and Figure 2 is a square so,
I do not agree with Jeremy.
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Complete question:
Question 6
Sharron gets a total of £1050 each month.
She spends 3/10 of this on rent and 2/3 on food and bills.
How much money does Sharron have remaining?
Show your working out and write your answer in the box below.
(Score for Question of 15 pointS! 1. The data set shows the January 1 noon temperatures in degrees Fahrenheit for a particular city in each of the past 6 years. 28 34 27 42 52 15 Answer 15 27 28 34 42 52 (a) What is the five-number summary of the data set? 15,27,28,34,42,52 (b) What is the mean, X, of the data set? 33 (c) What is the sum of the squares of the differences between each data value and the mean? Use the table to organize your work. (x − x)² 15-33--18 27-33=-6 28-33=-5 34-33-1 42-33-9 52-33-19 (15-33)^2-324 (27-33)^-36 (28-33)=25 (34-33)^2=1 (42-33142-81 (52-33)^2-361 Sum:828
(d) What is the standard deviation of the data set? Use the sum from Part (c) and show your work.
pls need answer for (d) thanks!
Answer:
To many questions, and too many numbers
Step-by-step explanation:
Haley is returning from a business trip. Her empty suitcase has a mass of 5.1 kg. Her clothes have a combined mass of 14.8 kg. Haley also wants to pack 4 gifts, each with a mass of 870 g. The airline restriction for a suitcase is a limit of 22.7 kg. Can Haley bring everything home in her suitcase? If not, how many gifts can she pack? Explain.
From the calculation, she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.
What can she pack?We know that we have to consider the restriction that the airline has placed. We have been told that the luggage that have to be packed in this case would have to be less than 22.7 kg.
We would now have to look at all the things that Haley would need to pack so as to determine what can be packed and what can not be packed.
Total luggage that she has to pack;
Mass of empty suitcase + mass of her clothes + mass of 4 gifts
Total luggage = 5.1 Kg + 14.8 Kg + 4(0.87) = 23.38 Kg
This implies that she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.
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You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
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The equation A = P(1 + 0.043t) represents the amount of money earned on a savings account with 4.3% annual simple interest. if the account balance is $15,160 after 12 years, what is the value of the principal?
The value of the principal is $10,000.
The equation A = P(1 + 0.043t) represents the amount of money earned on a savings account with 4.3% annual simple interest A is the account balance after t years P is the principal amount, and 0.043 is the interest rate per year.
The account balance is $15,160 after 12 years.
Substituting these values into the equation, we get:
15,160 = P(1 + 0.043(12))
Simplifying the right-hand side, we get:
15,160 = P(1 + 0.516)
15,160 = P(1.516)
Dividing both sides by 1.516, we get:
P = 10,000
This means that the account was initially opened with a principal of $10,000 and it earned simple interest of 4.3% per year for 12 years resulting in an account balance of $15,160.
The principal and it does not take into account the interest that is earned on the interest itself.
In contrast compound interest takes into account the interest that is earned on both the principal and the previously earned interest.
The account in question had been earning compound interest instead of simple interest the final account balance after 12 years would have been higher than $15,160.
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I need the answer to the problem
please see attached doc
The cosine value is given as follows:
[tex]\cos{\theta} = \frac{4\sqrt{23}}{23}[/tex]
How to obtain the cosine value?The tangent value is given as follows:
[tex]\tan{\theta} = -\frac{\sqrt{7}}{4}[/tex]
First we must obtain the secant value, according to the identity presented as follows:
[tex]\sec^2{\theta} = 1 + \tan^{2}{\theta}[/tex]
Replacing the tangent into the expression, we have that:
[tex]\sec^2{\theta} = 1 + \frac{7}{16}[/tex]
[tex]\sec^2{\theta} = \frac{23}{16}[/tex]
[tex]\sec{\theta} = \frac{\sqrt{23}}{4}[/tex]
The secant is positive, as the angle is in the fourth quadrant, where the cosine is positive.
The cosine is then given as follows:
[tex]\cos{\theta} = \frac{1}{\sec{\theta}}[/tex]
[tex]\cos{\theta} = \frac{4}{\sqrt{23}} \times \frac{\sqrt{23}}{\sqrt{23}}[/tex]
[tex]\cos{\theta} = \frac{4\sqrt{23}}{23}[/tex]
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The sum and product of two linear functions are shown. Which statements can be used to describe the original
functions f(x) and g(x)? Select two options.
The statement "When added, the sum of the y-intercepts must be 1" and "f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2" can be used to describe the original functions f(x) and g(x).
What is a function?Within mathematical study, we encounter various types of relations between objects – but none quite so distinctive as a function. These relations are essentially collections or sets composed solely from ordered pairs – pairings containing precisely two distinct elements each.
The defining trait for functions lies in how they operate with regards to these paired elements: specifically that every element comprising the domain – representing all potential inputs – correspond with absolute exclusivity to just one solitary member within the codomain – signifying all possible outputs.
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Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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♥
Translations
Essential Question: What are the properties of a translation?
Do Now :
What is a reflection rule that maps the triangle D(3, 6), E(-4,-3), F(6, 1)
and its image D'(1, 6), E (8, -3), F'(-2, 1)?
The reflection rule that maps triangle DEF onto triangle D'E'F' is a reflection across the line that passes through (2,2) and (−1.25,2.75).
A translation is a type of transformation that moves all the points of a figure the same distance and in the same direction.
The shape and size of the figure do not change, only its position in the plane.
(3, 6)--->(1,6)
3-x=1
x=-2
(x-2, y)
To find the reflection rule that maps the triangle D(3, 6), E(-4,-3), F(6, 1) onto its image D'(1, 6), E(8, -3), F'(-2, 1), we need to determine the line of reflection.
In triangle the point where the perpendicular bisectors intersect will be the center of the reflection.
We find that the midpoint of DE is (−0.5,1.5), the midpoint of DF is (4.5,3.5), and the midpoint of EF is (1,−1).
The perpendicular bisectors of DE and DF intersect at (2,2), and the perpendicular bisectors of DE and EF intersect at (−1.25,2.75).
Therefore, the reflection rule that maps triangle DEF onto triangle D'E'F' is a reflection across the line that passes through (2,2) and (−1.25,2.75).
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What is the area of this figure? 4 ft 13 ft 4 ft 4 ft 13 ft 9 ft 8 ft 4 ft 24 ft 7 ft 5 ft 15 ft Write your answer using decimals, if necessary.
The area of the figure is 183.5 ft².
We have,
The figure has two types of shapes.
Two rectangles and one triangle.
Now,
Area of rectangle = Length x Width
Area of triangle = 1/2 x base x height
Now,
Rectangle 1:
Area = 7 x 5 = 35 ft²
Rectangle 2:
Area = 4 x (4 + 5) = 4 x 9 = 36 ft²
Triangle:
Area = 1/2 x (11 + 4) x 15 = 1/2 x 15 x 15 = 112.5 ft²
Now,
The area of the figure.
= 35 + 36 + 112.5
= 183.5 ft²
Thus,
The area of the figure is 183.5 ft².
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−9, −4, 1, 6, .. aremetric or geometric
Alice is cutting pieces of cloth to sew into a quilt. She cut one piece of cloth into a parallelogram with a base of 7 inches and a height of 4 inches. What is the area of this piece of cloth?
Answer:
28 in²
Step-by-step explanation:
Area of parallelogram = base X vertical height
= 7 X 4
= 28 in²
The average amount of money spent for lunch per person in the college cafeteria is $7.08 and the standard deviation is $2.29. Suppose that 45 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of
X? X~ N( , )
What is the distribution of
X? X ~ N( , )
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.9379 and $7.2186.
For the group of 45 patrons, find the probability that the average lunch cost is between $6.9379 and $7.2186.
For part d), is the assumption that the distribution is normal necessary? Yes or No
(a) The distribution of X ~ N(7.08, 2.29)
(b) The probability of a patron's lunch cost is 0.049
(b) The probability of a group patron's lunch cost is 0.049
(d) The assumption of normal distribution is not necessary
(a) What is the distribution of X?Given that
Mean = 7.08
Standard deviation = 2.29
The distribution of X is represented as
X ~ N(Mean , Standard deviation)
So, we have
X ~ N(7.08, 2.29)
(b) The probability that the lunch is between $6.9379 and $7.2186.The z-score is calculated as
z = (x - Mean)/Standard deviation
So, we have
z = (6.9379 - 7.08)/2.29 and z = (7.2186 - 7.08)/2.29
Evaluate
z = -0.062 and z = 0.061
So, we have
P = P(-0.062 < z < 0.061)
Evaluate
P = 0.049039
Approximate
P = 0.049
(c) The probability that the average lunch is between $6.9379 and $7.2186.This is same as part (b)
i.e. the probability that the average lunch is between $6.9379 and $7.2186 is 0.049
(d) Is the assumption necessaryNo, the assumption is not necessary
This is because
The distribution has a sample size less than 25 as required by the central limit theorem
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Shakira needs to rent a car for one day. She can get a Porsche from alpha car rental for $29.17 per day plus 57 cents per mile. She can get the same car from beta car rental for $50.23 per day plus 44 cents per mile. At what what number of miles are alpha and beta the same price?
Shakira needs to rent a car for one day and she is trying to decide which car rental company to use. Alpha Car Rental offers a Porsche for $29.17 per day, plus 57 cents per mile. Beta Car Rental also offers the same car for $50.23 per day, plus 44 cents per mile.
To determine which car rental is a better deal, Shakira needs to calculate at what number of miles the prices for both Alpha and Beta Car Rental are the same. To do this, she can use the following equation:
50.23 - 29.17 = x (44 - 57)The variable of x is the number of miles. This equation simplifies to x = 21.06 miles. Therefore, at 21.06 miles, Alpha and Beta Car Rental will be the same price.
Hope this helps! Have a nice day. :)Ordena las siguientes medidas de mayor a menor. 5 dam³ 530 m³ 5.480 m³ 5,5 dam 5 dam 61 m²
The set of capacity measures related to cubic meter are ordered from the greatest to the least:
5.5 dam³, 5.480 m³, 5 dam³, 5 dam³, 530 m³, 61 m³
How to order different capacity measures
In this problem we need to order a group of capacity measures in cubic meters and its related units from the greateast to the least. To make this we need to understand the following relations:
1 dam³ = 1000 m³1 m³ = 1 m³Now we proceed to order the following set of information:
First, write the set of measures:
5 dam³, 530 m³, 5.480 m³, 5.5 dam³, 5 dam³, 61 m³
Second, convert all measures in cubic decameters into cubic meters:
5.000 m³, 530 m³, 5.480 m³, 5.500 m³, 5.000 m³, 61 m³
Third, order all the set from the greatest to the least:
5.500 m³, 5.480 m³, 5.000 m³, 5.000 m³, 530 m³, 61 m³
Fourth, rewrite the set of measures in its original units:
5.5 dam³, 5.480 m³, 5 dam³, 5 dam³, 530 m³, 61 m³
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5) Stacy ran 8 miles. She
recorded how long it took her to run each mile in minutes. How many times did Stacy run her fastest mile?
Answer:
1?
Step-by-step explanation:
9 1/4 is the longest distance
2 times
Step-by-step explanation:According to the chart, the mile that she ran the fastest was [tex]9 \frac{1}{2}[/tex] miles. 1 dot equals 1 minute so her fastest mile was [tex]9 \frac{1}{2}[/tex].
I hoped this helped if not please tell me what I did wrong ૮ ˶ᵔ ᵕ ᵔ˶ ა
HELP WITH GEOMETRY PLEASE!!! URGENT!!!
The variables for this problem are given as follows:
a = 16, [tex]b = 16\sqrt{2}[/tex] , c = 16, d = 16.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:
Sine of angle = opposite side/hypotenuse.Cosine of angle = adjacent side/hypotenuse.Tangent of angle = opposite side/adjacent side = sine/cosine.For side lengths a and c, we have a right triangle with angles of 45º, hence using the 45-45-90 Triangle Rule, with the hypotenuse of [tex]16\sqrt{2}[/tex], the lengths a and c are given as follows:
a = c = 16.
The length a is also the geometric mean of the lengths c and d, hence:
16² = 16d
d = 16.
Then the length b is obtained applying the Pythagorean Theorem as follows:
b² = 16² + 16²
[tex]b = \sqrt{2 \times 16^2}[/tex]
[tex]b = 16\sqrt{2}[/tex]
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7. Your ability to borrow money at lower rates improves as you save more ○ you earn more O your debt ratio increases your credit score increases ____. (1 point)
Answer:True
Lower interest rates reuslt in saving more money.
AC is a straight line. Find the measure of
The measure of <BED = 135 degrees
How to determine the valueTo determine the value, we need to know the following;
Supplementary angles are defined as a pair of angles whose sum is 180 degrees.Angles on a straight line is the same measure as 180 degreesThe sum of the interior angles of a triangle is 180 degreesAngle at right angle is 90 degrees.From the information given, we have that;
Angle AED + Angle ACD are on a straight line
Now, susbtitute the values, we have that;
135 + ACD = 180
collect like terms
ACD = 180 - 135
subtract the values
ACD = 45
Then, we have that;
<BED = <ACD + <BEC
Substitute the values
<BED = 45 + 90
<BED = 135 degrees
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End Behavior
Describe the end behavior of the following functions using limit notation, please.
1. f(x) = (2x² + 4x + 4) / x³ = 0; as lim x→∞, and lim x→-∞
2. g(x) = (2x² + 4x + 4)/x² = ∞; as lim x→∞, and lim x→-∞]
3. h(x) = (2x² + 4x + 4)/x = ∞ as lim x→∞, and -∞ as lim x→-∞.
What is the behavior of the functions?To find the end behavior of each of the functions, we can take the limit as x approaches infinity and negative infinity.
For f(x) = (2x² + 4x + 4)/x³;
lim x→∞ (2x² + 4x + 4) / x³ = 0
lim x→-∞ (2x² + 4x + 4) / x³ = 0
f(x) approaches zero as x approaches positive or negative infinity.
For g(x) = (2x² + 4x + 4)/x²;
lim x→∞ (2x² + 4x + 4) / x² = ∞
lim x→-∞ (2x² + 4x + 4) / x² = ∞
g(x) approaches infinity as x approaches positive or negative infinity.
For h(x) = (2x² + 4x + 4)/x
lim x→∞ (2x² + 4x + 4) / x = ∞
lim x→-∞ (2x² + 4x + 4) / x = -∞
h(x) approaches infinity as x approaches positive infinity, and negative infinity as well, but with a negative sign.
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Determine if the table below represents a linear function. If so, what's the rate of change?  Question 9 options: A) Yes; rate of change = 4 B) No; it's a non-linear function. C) Yes; rate of change = 3 D) Yes; rate of change = 2
The given table represents a linear function with a constant rate of change of 2. Option D is the right answer.
To determine if the table represents a linear function and calculate the rate of change, let's examine the given values:
x | y
-----------
1 | 3
2 | 5
3 | 7
4 | 9
By looking at the y-values, we can observe that for every increase of 1 in x, the corresponding y-value increases by 2. This indicates a constant rate of change, suggesting that the table represents a linear function.
To calculate the rate of change, we can use the formula:
[tex]\[\text{{Rate of Change}} = \frac{{\text{{Change in y}}}}{{\text{{Change in x}}}}\][/tex]
Taking any two points from the table, let's choose (1, 3) and (2, 5):
[tex]\[\text{{Rate of Change}} = \frac{{5 - 3}}{{2 - 1}} = \frac{2}{1} = 2\][/tex]
The table provided exhibits a linear function with a constant rate of change. As the x-values increase by 1 from [tex]1[/tex] to [tex]4[/tex], the corresponding y-values increase by [tex]2[/tex] from [tex]3[/tex] to [tex]9[/tex]. This consistent change in y for each unit change in x indicates a linear relationship between the variables.
The rate of change, also known as the slope of the function, is determined by the ratio of the change in y to the change in x. In this case, the rate of change is [tex]2[/tex], meaning that for every increase of [tex]1[/tex] in [tex]x[/tex], the y-value increases by 2.
Thus, the table represents a linear function with a rate of change of [tex]2[/tex].
Therefore, the correct answer is D) Yes; rate of change = [tex]2[/tex].
NOTE: The given question is incomplete. The complete question is:
Determine if the table below represents a linear function. If so, what's the rate of change?
options:
A) Yes; rate of change = 4
B) No; it's a non-linear function.
C) Yes; rate of change = 3
D) Yes; rate of change = 2
Table:
x | y
-----------
1 | 3
2 | 5
3 | 7
4 | 9
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.6 ppm and standard deviation 1.3 ppm. 15 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.a-What is the distribution of X? X ~ N(........,.......) b-What is the distribution of X bar? X bar ~ N(......,.....) c-What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants?
d-For the 15 cities, find the probability that the average amount of pollutants is less than 9.3 ppm.
e)For part d), is the assumption that the distribution is normal necessary? yes or no f. Find the IQR for the average of 15 cities.
Q1 = ............ ounces
Q3 = ............ ounces
IQR: ............ ounces
The interquartile range for the average of 15 cities is 1.8.
a) X ~ N(9.6, 1.3)
b) X bar ~ N(9.6, 0.13)
c) The probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants can be calculated using the z-score formula: P(X < 9.3) = P(Z < (9.3 - 9.6) / 1.3) = 0.338.
d) The probability that the average amount of pollutants is less than 9.3 can be calculated using the z-score formula: P(Xbar < 9.3) = P(Z < (9.3 - 9.6) / 0.13) = 0.819.
e) The assumption that the distribution is normal is indeed necessary for part d.
f) The IQR for the average of 15 cities can be calculated as follows: Q1 = 8.7 and Q3 = 10.5. IQR = 10.5 - 8.7 = 1.8.
Therefore, the interquartile range for the average of 15 cities is 1.8.
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If the diameter of a circle is 22 in what is its area
Answer:If the Diameter of a circle is 22 inches, the area will be 380.13in².
Step-by-step explanation:
These are the formulas you use:
Area=pi*Radius^2 or A=pi*Radius*Radius
Diameter=2*Radius
A=1
4*pi*Diameter*2=1 2
4*pi*222=380.13271in
380.13271in is approximately 380.13in².
Five runners need to be arranged in 5 lanes for a race so that there is a runner in each lane
How many unique ways are there to arrange the numbers in the 5 lanes
Step-by-step explanation:
5 P 5 = 120 ways = 5!
Can somebody help me? A Committee is to consist of two members, if there are seven men and five women available to serve on the committee and you need to choose 1 man and 1 woman ,how many different committee's can be formed?
There are 35 different committees that can be formed, each consisting of one man and one woman.
To form the committee consisting of one man and one woman, we need to choose one man from the available seven men and one woman from the available five women.
Number of choices for selecting one man = 7
Number of choices for selecting one woman = 5
To find the total number of different committees that can be formed, we multiply these numbers together:
Total number of committees = 7 × 5
Total number of committees = 35
Therefore, there are 35 different committees that can be formed, each consisting of one man and one woman.
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.will give brainless
Step-by-step explanation:
OK, 'Brainless'.... the triangle side length rule states that any two sides of a triangle must sum to greater than the remaining side length...
42 + 20 > x then 12 , 20, 22, 32, 42, 50 will work here
42+x > 20 all of the possibles work here
20 + x > 42 32, 42, 50, 62 and 70 work here
so 32 and 42 are in all of the lists ....that is your answer
summary of this shape help u will get 100 points I need it cry cyr ycr
The line of symmetry for the above figure is attached accordingly.
What is a line of symmetry?In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry.
That is, a figure with reflectional symmetry does not alter when it is reflected. A line/axis of symmetry exists in 2D, while a plane of symmetry exists in 3D.
After inserting the symmetry lines, the above resulted in a kite.
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in triangle QRS, the measure of angle RSQ is 48.2 degrees, and the SQR is 75 degrees. what is the QRS?
The measure of angle QRS in triangle QRS is 56.8 degrees.
To find the measure of angle QRS in triangle QRS, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
We know that:
- The measure of angle RSQ is 48.2 degrees
- The measure of angle SQR is 75 degrees
Let x be the measure of angle QRS. Then, we can write:
RSQ + SQR + QRS = 180
Substituting the known values, we get:
48.2 + 75 + x = 180
Simplifying and solving for x, we get:
x = 180 - 48.2 - 75x = 56.8
Therefore, the measure of angle QRS in triangle QRS is 56.8 degrees.
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