Answers
Step-by-step explanation:
120° + 20° + x = 180° ( sum of interior angle. of triangle is 180°)
140° + x = 180°
x = 180° - 140°
x = 40°
Now
y + x = 180° ( supplementary angle)
y + 40° = 180°
y = 180° - 40°
y = 140°
The angle measure of y is 140°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
The three angles of a triangle are 120°, 20° and x.
And we know,
the sum of the interior angle of the triangle is 180°.
120° + 20° + x = 180°
140° + x = 180°
x = 180° - 140°
angle measure of x = 40°
Now:
Here, x and y are supplementary angles.
Supplementary angles are two angles whose measures add up to 180°
y + x = 180°
y + 40° = 180°
y = 180° - 40°
y = 140°
Therefore, the value of y is 140°.
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Related Questions
A circle that has (-2,4) and (4,2) as endpoints of a diameter.
Use the given information to write the standard equation of the circle.
I WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER!
Answers
Answer:
[tex]\implies (x-1)^2+(y-3)^2=10[/tex]
Step-by-step explanation:
End points of the diameter of the circle are:
[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]
[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]
Equation of circle in diameter form is given as:
[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]
Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:
[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]
[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]
[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]
[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]
[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]
[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]
[tex]\implies (x-1)^2+(y-3)^2=10[/tex]
This is the required equation of circle in standard form.
Find the surface area of this figure.
Answers
Answer:
760 in^2
Step-by-step explanation:
2(22*10)+2(22*5)+2(5*10) = 760in^2
is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0
Answers
Answer:
yes, we can write zero in the form of p/q.
[example] that is 0/3, 0/5...
(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.
Answers
Students who will attend community college are not required to take SAT or ACT exams.
Given that,
Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.Based on the information.
About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.Therefore, Students who will attend community college are not required to take SAT or ACT exams.
Learn more: https://brainly.com/question/7567975
Suppose $16,250 is invested at an interest rate of 7.9%, compounded continuously. How many years will it take for the investment to double? PLEASE HELP
Answers
Answer:
4 years
Step-by-step explanation:
basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)
A cottage has a gable roof. To the nearest foot, how wide is the cottage?
Answers
Thelma and louise drove 341 miles and used 15.5 gallons of gas how many miles did their car get per gallon of gas
Answers
Answer:
22 MPG
Step-by-step explanation:
The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is 22miles per gallon.
Is the function even, odd or neither? How do you know?
() = −2^3 - x
Answers
Answer:
algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even
Step-by-step explanation:
Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)
If 700, 300-pound buckets each had x rocks and each rock weighed 0.25 pounds how many pounds are in each bucket
Answers
Answer:
1200
Step-by-step explanation:
buckets can hold 300 ponds so 0.25 divided by 300
Please Help Meeeee!!! Will Mark Brainliest!!!
Answers
Answer:
Part A: Yes. For every 10 employees, an increase of 80 products produced.
Part B: y = 8x + 120
Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees
Step-by-step explanation:
Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees
Part B: For y = mx + c ,
m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8
c = Y-intercept, when X = 0. Therefore c = 120
how do you do this???
Answers
Answer:
i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5
Step-by-step explanation:
Can I please have brainliest
Pls someone do this its on test
Answers
Answer:
they get a 7/24th piece of cake.
Step-by-step explanation:
if we divide 3 1/2 by 12 we get 7/24
we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.
Help someone out pls!
Answers
Answer: the answer is D
Step-by-step explanation:V = pi (d/2)^2 * h
V = pi (d^2 / 4) * h
h = 4V / ( pi * d^2) (meters)
1. The mode is the number you see
1. most
2. least
3. first
4. don't see
Answers
Mode is the number that is shown the most.
Answer: 1. Most
Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?
Answers
Answer:
Step-by-step explanation:
so, 50+75=125.
180-125=55.
There can be-
130, 95, and 125
What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60
Answers
Answer: About 5.59
Step-by-step explanation:
The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.
Here is what it looks like.
[Step 1]
Find the average.
[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]
[Step 2]
Find the absolute value of each data from the mean.
|52 - 56.14| = 4.14
|65 - 56.14| = 8.86
|63 - 56.14| = 6.86
|48 - 56.14| = 8.14
|52 - 56.14| = 4.14
|53 - 56.14| = 3.14
|60 - 56.14| = 3.86
[Step 3]
Find the average of these values.
[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]
Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
Answers
The pair of algebraic expressions which are like terms is; 20x and 0.8x.
What are like terms?Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.
check all options:
20x, 0.8x
same variable and exponent
17, 3x
Not same variable
14x, 14x²
Same variable, not same exponent
0.5x, 0.5y
Not same variable
On this note, it follows that the terms 20x and 0.8x are like terms.
Read more on like terms;
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Factor the trinomial completely
3x^2-5x-2
Answers
Answer:
(x − 2)×(3x+1)
Step-by-step explanation:
We can use this method:
[tex]\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}[/tex]
All I did is Subtracting x then adding x which will not affect the result because -x + x = 0
if the simple interest on $800 for 3 years is $60, what is the rate of interest per annum
Answers
Answer:
2.5%
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = total interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $60P = $800t = 3 yearsSubstituting given values into the formula and solving for r:
⇒ 60 = 800 · r · 3
⇒ 60 = 2400r
⇒ r = 0.025
Converting r to percentage:
0.025 × 100% = 2.5%
Answer:
2.5%
Step-by-step explanation:
Given:
Principle: $800Time: 3 yearsSimple interest: $60Formula:
Simple interest = (Principle × Rate × Time)/100
Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.
[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]
Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.
[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]
[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]
Simplify both sides of the equation:
[tex]\implies60 ={ 24\times \text{Rate}}[/tex]
Divide both sides by 24.
[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]
Simplify both sides as needed:
[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]
[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]
[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]
Thus, the rate of interest per annum is 2.5%.
Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?
Answers
Answer:
1/32 lb per slice
Step-by-step explanation:
We want the pounds per slice, or lb/slice.
We have 0.25 lbs and 8 slices, so: (0.25 lb/8 slices)
(0.25 lb/8 slices) = (1/8)(0.25)
(1/8)(0.25)(4/4) = 1/32 lb per slice
Check:
(8 slices)*(1/32 lb/slice) = 8/32 lb
8/32 = 1/4 lb total YES
5
Select ALL the correct answers.
Observe the expression below and select the true statement(s).
41 + 9 – y(61 + 7)
The x in the first term is an exponent.
3
The "9" in the second term is a constant.
The "y in the third term is a factor.
The "6" in the third term is a coefficient.
The "4" in the first term is a constant.
Answers
Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2
-
(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?
(b) What is the mean of the sampling distribution of the sample mean?
(c) What is the standard deviation of the sampling distribution of the sample mean?
Answers
The shape is not normal since the sample size (6) is less than 30.
The mean and standard deviation of the sample distribution is 39, and 0.82 repectively
What is a normal distribution?The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.
Given that
n = 6, mean = 39 and standard deviation o = 2.
Hence:
The shape is not normal since the sample size (6) is less than 30.
The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82
Find out more on normal distribution at: https://brainly.com/question/4079902
i will give yo 20 points
Answers
Answer:
p = [tex]\frac{q-4}{3}[/tex]
Step-by-step explanation:
q - 2p = p + 4
=> p + 2p = q - 4
=> 3p = q - 4
=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]
=> p = [tex]\frac{q - 4}{3}[/tex]
hope this helps!! p.s. i really need brainliest :)
Answer:
p = (q - 4)/ 3.
Step-by-step explanation:
q - 2p = p + 4
q - 2p - p = 4
-3p = 4 - q
p = -(4 - q)/3
p = (q - 4)/ 3
How to do the sum
25 cm 25 mm = --------------------m
pls give the ans with explanation
Answers
Answer:
Step-by-step explanation:
100 cm = 1 m
25 cm = 25 ÷ 100 = 0.25 m
1000mm = 1m
25 mm = 25 ÷ 1000 = 0.025
0.250 +
0.025
0.275
25 cm 25 mm = 0.275 m
25cm = .25m 25mm = .025m
.275m
The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
What is the Pythagorean Theorem?In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².
Given the following parameters of the right triangle:
c = 4 cma = 3 cmb = ? (other leg)Apply the Pythagorean theorem:
b = √(4² - 3²)
b = 2.6 cm (nearest tenth)
Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
Learn more about Pythagorean theorem on:
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help please i been stuck on this question for the last hour im on the verge of tears
Answers
Answer:
1/2
Step-by-step explanation:
It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!
Answer: the answer is 1 over 2 as a fraction
Step-by-step explanation:
7. Which expressions represent the total area of the
large rectangle? Select all that apply.
A. 6(m+n
B. 6n + m
С. 6n + 6т
D. Omn
E. (n + m)6
Answers
Answer:
D.
Step-by-step explanation:
Not for sure sorry but i think its D or A so so sorry
Is anyone good at math and can help me solve my math problems
Answers
Answer:
Hi! I'm not too bad at math so I hope I can help you. Except, I can't seem to find your question so please comment your question(s) to me so that I can help you. Have a great day:)
Write the following in scientific notation?
(Math 8th)
Answers
Answer:
the answer is 3.25 x 10^-4
Step-by-step explanation:
1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?
Answers
Answer:
150m
Step-by-step explanation:
work = force x distance
w=fd
d=w/f
d= 4500/30 = 150