Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 7x - 15 ) + ( 2x - 3 ) = 180
Now we can combine like terms and use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
NOTE: 139 + 41 = 180
assume that you are trying to use the inverse tangent function on your calculator to find the angle of a vector in the x-y plane.
The tangent of the angle formed when x = 0 is undefined.
However, the angle described by when x = 0 are;
E) Either 90° or 270°
Which method can be used to find the measure of the required angle?
The question appears to be incomplete. The possible other part of the question is as follows;
When x = 0, and the calculator is used to find the tangent, the calculator indicates that the value is undefined, such that the calculator will not be able to give the value of the angle that corresponds with a value of x = 0.
What must the angle in degrees be when x = 0
Solution;
[tex]tan( \theta) = \frac{ \Delta y}{\Delta x} = \frac{y - value}{x - value} [/tex]
When x = 0, we have;
[tex]tan( \theta) = \frac{y - value}{0} = \infty [/tex]
However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph
The correct option is therefore;
E) Either 90° or 270°
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The tangent of the angle formed when x = 0 is undefined. However, the angle described by when x = 0 are; E) Either 90° or 270°, When x = 0, we have; However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph. The correct option is therefore; E) Either 90° or 270°.
When using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, it is important to understand the limitations and considerations involved. The inverse tangent function, commonly denoted as arctan or atan, returns the angle whose tangent is a given value. However, special attention should be given to the range of the output and the quadrant of the angle. Additionally, some calculators have a two-argument inverse tangent function that considers both the x and y components of the vector, providing a more accurate result. To find the angle of a vector in the x-y plane using the inverse tangent function on a calculator, we typically use the atan or arctan function. The function takes a single argument, which is the ratio of the y-coordinate to the x-coordinate of the vector. It returns the angle in radians whose tangent is equal to that ratio. However, it's important to consider the limitations of the inverse tangent function. The output of the function is typically in the range of -π/2 to π/2 (-90 degrees to 90 degrees). This means that the function can only provide angles within this range. If the vector falls in the second or third quadrant (where the x-coordinate is negative), the function will return an angle between -90 degrees and 90 degrees. To obtain the correct angle in these cases, we need to add or subtract 180 degrees, depending on the quadrant. Some calculators also have a two-argument inverse tangent function, often denoted as atan2 or arctan2. This function takes both the x and y components of the vector as arguments. It provides a more accurate result by considering the signs of both components and the quadrant of the angle. This eliminates the need for additional calculations to determine the correct quadrant. In conclusion, when using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, we should be aware of the range of the output and the quadrant in which the vector lies. For more accurate results, it is recommended to use the two-argument inverse tangent function (such as atan2 or arctan2) if available on the calculator, as it handles the quadrant determination automatically.
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Question : Why do we reverse the direction of the inequality symbol when multiplying or dividing by a negative number ??
please write a thought out good answer ! T-T
NO LINKS.
Answer:
Down Here ↓↓↓↓
Step-by-step explanation:
Hello!
Let's take an example: x > y
The rule that we currently have would state that -x < -y.
Now, let's substitute values for x and y. Say x is 5 and y is -3.
5 is greater than -3 (x > y), but -5 would be less than -3. (-x < -y). Hence the inequality would be true.
We can also take a look at this graphically on a number line. Turning a number negative is simply reflecting it over value 0.
As you can see, flipping the signs would change the values. To keep the inequality accurate, we reverse the inequality sign as well.
Isaac bought two DVD's and spent over 50 . Use indirect reasoning to show that at least one of the DVD's he purchased was over 25 .
By assuming that both DVD's cost $25 or less, we will reach an absurd. In that way we conclude that at least one of the two DVD's costs over $25.
How to use the indirect reasoning?
We know that Isaac bought two DVD's and spent over $50.
Let's define the variables:
x = cost of the DVD 1y = cost of the DVD 2Because the cost is over $50 we can write the inequality:
x + y > $50
Here we want to prove that at least one of the two DVD's costed over $25, now let's find an absurd here, let's assume that neither of the DVD's costed over $25, then we can write:
x ≤ $25
y ≤ $25
So we have a set of 3 inequalities:
x + y > $50
x ≤ $25
y ≤ $25
Now, the maximum values that x and y can take are $25, if we use these values in the first inequality we will get:
$25 + $25 > $50
$50 > $50
So this is an absurd, this means that we can't assume that neither of the DVD's costs over $25, then we conclude that at least one of the DVD's costs over $25, which is what we wanted to prove.
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a test shows that 10 out of 100 gadgets are defective. in a random sample of two gadgets are chosen the probability that both are defective is
The probability of selecting both defective gadgets out of 100 gadgets is 1/110, which is calculated using the basic concepts of probability theory.
What is a random experiment?
An experiment that is repeated several times and produces more than one possible outcome is called as the random experiment. It contains a well-defined set of values which constitutes a sample space. Eg: Rolling a die, tossing a coin etc.
Calculation of the probability of selecting both gadgets as defective
The total amount of gadgets = 100
Number of defective gadgets = 10
The probability of selecting a defective gadget is 10 / 100 or 1 / 10
Now, the total number of gadgets and defective gadgets are decreased by 1
So, the probability of selecting another gadget as defective is 9 / 99 or 1 / 11
P(E) = P(when two selected gadgets are defective) = 1 / 10 x 1 / 11
P(E) = 1 / 110
Hence, the probability of selecting both defective gadgets is 1/110.
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PLEASE HELP
later Paul drew 2 solid figures and 5 plain figures. in his drawing what was the ratio of solid figures to plain figures
Answer:
2:5
Step-by-step explanation:
WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.
Write an equation of the line that passes through the point (1,5) and is (a) parallel to the line y = 3x-5 and (b) perpendicular
to the line y = 3x - 5.
Answer:
[tex]\textsf{An equation of the parallel line is $y = \boxed{3x+2}$}[/tex]
[tex]\textsf{An equation of the perpendicular line is $y = \boxed{-\dfrac{1}{3}x+\dfrac{16}{3}}$}[/tex]
Step-by-step explanation:
Point-slope form of a linear equation:
[tex]\boxed{y-y_1=m(x-x_1)}[/tex]
Where:
m is the slope.(x₁, y₁) is a point on the line.Given:
Equation: y = 3x - 5Point: (1, 5)Part (a)If two lines are parallel, they have the same slope.
Therefore, the slope of the line that is parallel to the given equation is 3.
To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-5=3(x-1)[/tex]
[tex]\implies y-5=3x-3[/tex]
[tex]\implies y-5+5=3x-3+5[/tex]
[tex]\implies y=3x+2[/tex]
Part (b)If two lines are perpendicular, their slopes are negative reciprocals.
Therefore, the slope of the line that is perpendicular to the given equation is -¹/₃.
To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-5=-\dfrac{1}{3}(x-1)[/tex]
[tex]\implies y-5=-\dfrac{1}{3}x+\dfrac{1}{3}[/tex]
[tex]\implies y-5+5=-\dfrac{1}{3}x+\dfrac{1}{3}+5[/tex]
[tex]\implies y=-\dfrac{1}{3}x+\dfrac{16}{3}[/tex]
certain clock is losing time. The clock loses 2/15 seconds every minute. How many seconds does the clock lose in one hour?
Answer:
8 minutes
Step-by-step explanation:
The formula is (2x60)/15=8.
what is the answer to 34^5+6%7=
Answer:
ik what you ment
this is your answer 45,435,439.87
Step-by-step explanation:
What is the fewest number of intersection points that two planes can have?
Answer: 4 points
Step-by-step explanation:
The minimum number of points needed to define two distinct planes is 4 points. Two distinct planes can be defined by 4 points under the conditions that the two distinct planes intersect at a line, and two points exist on that line that are shared between the planes.
Answer:
One line of intersection (three points of intersection)
Step-by-step explanation:
When two planes intersect, they don't form points of intersection, but they form a line of intersection.
From equation of a line,
[tex]{ \tt{ax + by + cz = 0}}[/tex]
x, y, z are points of intersection
Two buses, bus A and bus B, both use the same bus stop. Bus A runs every 10 minutes. Bus B runs every 14 minutes. Both buses are at the bus stop at 11 am. What time will both buses next both be at the bus stop. (3 marks)
Use HCF and LCM skills to work out your answer.
Answer:
since Bus A runs every 10 minutes while Bus B runs every 14 minutes
first add the minutes to get equivalent value
=10+14
=24
the value gotten will be added to the time
=24mins+11hrs
=11:24mins
PLEASE RATE AS BRAINLIEST
-3-{3-[-3(2+4)-(-2)]}
Answer:
-22
Step-by-step explanation:
Let's solve the problem,
→ -3 - {3 - [-3(2 + 4) - (-2)]}
→ -3 - {3 - [-18 + 2]}
→ -3 - {3 + 16}
→ -3 - 19 = -22
So, the answer is -22.
The sum of 2 integers is 7 and the sum of their squares is 37 what is the integers
Answer:
[tex]1[/tex] and [tex]6[/tex].
Step-by-step explanation:
Let [tex]x[/tex] denote one of the integers. Since the two integers add up to [tex]7[/tex], the other integer would be [tex](7 - x)[/tex].
The sum of the squares of these integers is [tex]37[/tex]. In other words:
[tex]x^{2} + (7 - x)^{2} = 37[/tex].
Expand [tex](7 - x)^{2}[/tex] using binomial expansion. Simplify and rewrite this equation and solve for [tex]x[/tex].
[tex]2\, x^{2} - 14\, x + 12 = 0[/tex].
[tex]x^{2} - 7\, x + 6 = 0[/tex].
Using the quadratic formula or factorization, [tex]x = 1[/tex] or [tex]x = 6[/tex]. Thus, the two integers are [tex]1[/tex] and [tex]6[/tex].
HELPP PLSSSSSSSSSS i would really appreciate it
Applying exponential properties, we have that the solution to the given expression is:
[tex]-\frac{125}{343}[/tex]
How do we proceed when a fraction is elevated to the exponent?When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.
In this problem, we have that:
The numerator is of 5, hence 5³ = 125.The denominator is of 7, hence 7³ = 343.Negative base with odd exponent, hence the solution is negative and given as follows:
[tex]-\frac{125}{343}[/tex]
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What is the total area of this figure (I am in middle school and a 7th grader just for notes)
Answer:12?
Step-by-step explanation:
A=L x W
Answer:
the total area is 20
Step-by-step explanation:
next time you can just count the boxes that's how I answer these types of questions.
Two consecutive angles of a parallelogram measure 3 x+42 and 9 x-18 . What are the measures of the angles?
A. 13,167
C. 39,141
B. 58.5,31.5
D. 81,99
Answer:
enjooooooooooooyyyyyyyyyyy
A family of four visits the zoo café for lunch. They ordered 2 bacon cheeseburgers, 1
hamburger, 1 chicken fajita taco, 2 large orders of french fries, an order of onion rings, and 4
juices. What was the family’s total bill? Show your work.
Answer:
29.65
Step-by-step explanation:
Place Value 879,009 - 788,492
Answer:
90517
Step-by-step explanation:
This is the answer when you minus 879,009 by 788,492
SECOND TIME ASKING PLEASE HELP WILL GIVE BRAINLIST TO BEST ANSWER
Liz drove his hoverboard 3 miles in 40 minutes. Jim Shue hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer.
Answer:
Jim Shue
Step-by-step explanation:
I think not sure
please give the correct answer this is for a grade
1-2x+5=4x-3 i need help
Answer:
X=4/3
Step-by-step explanation:
Answer:The answer would be x=2/3
Step-by-step explanation:Bring 4x over to one side with -2x and bring 5 and 1 over to he other side with -3 and the equation becomes -2x-4x=-3-5-1 then you simplify and it becomes -6x=-9 then you divide and the answer would be x=2/3
Use place value ans distributive property to match each multiplication expression with an equivalent expression.
Using the distributive property, the equivalent expressions are given as follows:
3(937) = 3(900) + 3(30) + 3(7).11(143) = 11(100) + 11(40) + 11(3).9(821) = 9(800) + 9(20) + 9(1).5(209) = 5(200) + 5(0) + 5(9).6(342) = 6(300) + 6(40) + 6(2).What is the distributive property?The distributive property is when the outside term of an expression multiplies all the inside terms, keeping the inside operations, as the following example:
a(b + c) = ab + ac.
For this problem, the numbers can be decomposed as follows:
937 = 900 + 30 + 7.143 = 100 + 40 + 3.821 = 800 + 20 + 1.209 = 200 + 0 + 9.342 = 300 + 40 + 2.Applying the distributive property, the equivalent expressions are:
3(937) = 3(900) + 3(30) + 3(7).11(143) = 11(100) + 11(40) + 11(3).9(821) = 9(800) + 9(20) + 9(1).5(209) = 5(200) + 5(0) + 5(9).6(342) = 6(300) + 6(40) + 6(2).More can be learned about the distributive property at https://brainly.com/question/2807928
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Evaluate the expression for the given values.
m² +7 n if m=4 and n=-2
Answer: -82
Step-by-step explanation: Substitute the values then do order of operations
If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be _____. a. .1 b. .95 c. .05 d. .9
If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be 0.9.
Confidence level:
Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.
For example,
A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.
Confidence Coefficient:
Confidence coefficient states the confidence level stated as a proportion, rather than as a percentage.
For example, if you had a confidence level of 99%, the confidence coefficient would be .99.
Given,
Here we know that the confidence level is 90%, now we have to find the confidence coefficient of it.
Based on the definition,
The confidence coefficient for 90% confidence level is 0.9.
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There are 16 circles and 12 squares. What is the simplest ratio of squares to total shapes?
Answer:
3/2
Step-by-step explanation:
16+12= 28 total shapes
squares =12 so 12/28
and divide both side by 4 for simplest form
3/2
At this rate how long would it take for you heart to beat 700,000 times? Express your answer in days . Now express your answer in days , hours, minutes, & seconds. (Example:2 days , 4 hours 21 minutes, 15seconds)
The time that it would take for you heart to beat 700,000 times is
8days 2hours 26 mints 40second.
To calculate at this rate of heart to beat 700,000 times we take :
It should be noted that the heart beats in a day = 86400 times
(24 hours = 86400 times)
Takes about 1 hour for a heart to beat = 3600times
Takes about 15 mints for a heart to beat = 900times
Takes about 60 sec for a heart to beat = 60times
Therefore,
the number of days will be given as
= 700000 / 86400
= 8.10 days
= 8days 2hours 26 mints 40second.
The time that it would take for you heart to beat 700,000 times is
8days 2hours 26 mints 40second.
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37 centimeters is the same as how many inches? Hint: 1 cm ≈ 0.39 in Round your answer to the nearest tenth. HELP PLEASE!!!
37 centimeters is equal to approximately 14.5 inches.
In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equal to 1/12 of a foot or 336 yards.The International System of Units (SI) uses centi as the prefix for a factor of 1/100, making a centimeter (international spelling) or centimeter (American spelling) (SI symbol cm) equivalent to one tenth of a meter. In the now-outdated centimeter-gram-second (CGS) system of units, the centimeter served as the fundamental unit of length.We know that 1 cm is equal to 0.39 inches.
So to convert 37 cm to inches we multiply 37 with 0.39
37×0.39=14.47 inches
The length is approximately 14.5 inches (rounded to the nearest tenth)
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Answer:
2.7
Step-by-step explanation:
Convert centimeters to inches by multiplying:
70.39=2.73
So, 7 centimeters is approximately 2.73 inches.
Now round to the nearest tenth.
2.73 → 2.7
7 centimeters is the same as approximately 2.7 inches.
i really hate math soo pwease help
3 Answers: Choice A, Choice B, Choice E
=========================================================
Explanation:
We have four copies of x in the original expression. So that accounts for the 4x. In other words, 4x = x+x+x+x. Multiplication is used for repeated addition.
Also, the other terms add to 15+5+15+5 = 20+20 = 40
Therefore, we end up with 4x+40 from choice A.
-----------------------------
Once we get to 4x+40, we can factor out 2 from it like so
4x+40
2*2x + 2*20
2(2x+20) which is choice B
I used the distributive property to factor. That rule is a(b+c) = ab + ac
-------------------------------
Choice C is not one of the answers. We can determine this fairly quickly by noting that the expression in choice C talks about a quadratic, but the original expression given to us is linear.
Choice D is a similar story to choice C.
--------------------------------
Choice E is another answer
This is because we have two copies of (x+15), so that gives 2(x+15)
We also have two copies of (x+5) to get 2(x+5)
laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 1'10 1/2". what total length will she need if she is planning on making four chairs?
The total length will she need if she is planning on making four chairs is 42 inches.
How to calculate the value?It should be noted that the chair calls for six pieces that are 10 1/2" , therefore, the total length will she need if she is planning on making four chairs will be:
= 10 1/2 × 4
= 10.5 × 4
= 42 inches.
The total length is 42 inches.
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Complete question
laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 10 1/2". what total length will she need if she is planning on making four chairs?
please help very important please
Answer: 7/2
Step-by-step explanation:
Arrange the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 into three groups. Make one
group of two digits, one group of three digits, and one group of four digits.
When you multiply the first group of two digits by the second group of three
digits you get the four digit number as your answer
Example: 39x186=7254
There are six other possible combinations.
Part a:
Answer:
so the answer 1904
Step-by-step explanation:
because 34 x 56 = 1904
There are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.
Here, we have to form the three groups with the digits 1 to 9, we need to consider that the first group of two digits multiplied by the second group of three digits should result in a four-digit number.
The third group will consist of the remaining four digits.
Let's try different combinations:
Group 1 (two digits): 1 and 2
Group 2 (three digits): 3, 4, and 5
Group 3 (four digits): 6, 7, 8, and 9
Now, let's calculate the product of the first group (1 and 2) and the second group (3, 4, and 5):
12 * 345 = 4140
So, when we arrange the digits 1 to 9 as described above, we get the product 4140, which is a four-digit number.
We can also verify the other six possible combinations using different arrangements of the digits into three groups, and each combination should result in a four-digit number when the first group is multiplied by the second group.
Here are the other six possible combinations:
Group 1 (two digits): 1 and 3, Group 2 (three digits): 2, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9
13 * 245 = 3185
Group 1 (two digits): 1 and 4, Group 2 (three digits): 2, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9
14 * 235 = 3290
Group 1 (two digits): 1 and 5, Group 2 (three digits): 2, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9
15 * 234 = 3510
Group 1 (two digits): 2 and 3, Group 2 (three digits): 1, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9
23 * 145 = 3335
Group 1 (two digits): 2 and 4, Group 2 (three digits): 1, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9
24 * 135 = 3240
Group 1 (two digits): 2 and 5, Group 2 (three digits): 1, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9
25 * 134 = 3350
So, there are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.
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