if an interior angle measures 120 degrees what is the measure of the adjacent exterior angle

Answers

Answer 1

Answer:

60

Step-by-step explanation:

180 - 120 = 60

when dealing with interior and exterior angles, the highest is 180 degrees


Related Questions

Question Below! 20 points!

Answers

Answer: 20

Step-by-step explanation:

The answer is is 20cm :)

Please Help! The diagram shows the graph of y=2x+c, where c is a coonstant. Find the value of k.

Answers

Answer:

k = 6.5

Step-by-step explanation:

The question relates to the association of the association of the equation of a graph point(s) on the graph

The given equation of the graph, is y = 2·x + c

The value of 'c' is a constant

We note that the value of 'c' can be found when x = 0, as follows;

y = 2·x + c = 2 × 0 + c = c

∴ When x = 0, y = c

From the graph, when x = 0 we have the y-intercept, the point the graph crosses the y-axis, which is the point y = -3

Therefore;

When x = 0, y = -3 = c

∴ c = -3

The equation of the graph becomes, y = 2·x + (-3) = 2·x - 3

y = 2·x - 3

The other given point on the graph is the point (k, 10)

The value k is the x-value when y = 10

Substituting y = 10 in the equation for the graph gives the x-value at the point y = 10 as follows;

10 = 2·x - 3

2·x = 13

x = 13/2 = 6.5

x = 6.5 (when y = 10)

Therefore the point (k, 10) = (6.5, 10)

By comparing the two equal coordinates, we have;

k = 6.5.

Naomi is going to drive from her house to City A without stopping. Let D
represent Naomi's distance from City A t hours after leaving her house. A
graph of D is shown below. Write an equation for D then state the slope of
the graph and determine its interpretation in the context of the problem.

Answers

Answer:

I'm not sure of the answer

Five angles of a hexagon measure 119, 129, 104, 139 and 95 degrees. What is the measure of the sixth angle?

Answers

The final angle would be 134 degrees because a hexagon has 720 degrees. How you solve this problem is by adding all of the other angles and subtract the number you get from 720.

Plz help will give brainliest

Answers

Answer:

what do u need help with there isn't anything attached

Step-by-step explanation:

Answer:

please put correct question

I need help only in number 3

Answers

Answer:

I believe they're the same because the last part of the equation is the same

Step-by-step explanation:

because 3/x-4+4 they both are the same

Due to delays a company had to extend a project from 28 days to 76 days. What was the percentage increase in time to complete the project. Round your answer to the nearest tenth.

Answers

Answer: [tex]171.4\%[/tex]

Step-by-step explanation:

Given

Time is extended from 28 days to 76 days

The percentage increase is given by

[tex]\Rightarrow \dfrac{\text{New-original value}}{\text{original value}}\times 100[/tex]

Putting values

[tex]\Rightarrow \dfrac{76-28}{28}\times 100=\dfrac{48}{28}\times 100\\\\\Rightarrow 171.4\%[/tex]

Thus, the percentage increase in time is [tex]171.4\%[/tex]

Given that x = 7.4 m and 0 = 26°, work out AB rounded to 3 SF.
B
o
A
С
x х
The diagram is not drawn accurately.
AB =
m​

Answers

Answer:

3.24m

Step-by-step explanation:

SOH

sin(26)=O/7.4

O=7.4 sin(26)

O=3.24 (3sf)

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you please I beg you no n no no no link

Answers

Answer:

use ma th wa y (its all together)

Step-by-step explanation:

Answer:

10. The number of cupcakes Sheldon would have to buy to recieve the same number of cupcakes in a package would be 30 cupcakes in a package.

Step-by-step explanation: Find the least common denominator (LCD) of six and ten which is, 30.

11.  The greatest number of necklaces Samuel would have to make is four.

Step-by-step explanation: Divide 148 necklaces by 36 strings and the answer will be four necklaces.

12. The greatest length, in feet, of each piece of ribbon Karen, would have to cut is six feet.

Step-by-step explanation: Find the greatest common denominator (GCD) of 18 and 12 which is, six.

13. Find the least common denominator of five and three which is, 15 minutes.

Step-by-step explanation:

Jacob will finish his laps in these following minutes, supposing he starts at zero.

3 minutes, 6 minutes, 9 minutes, 12 minutes, 15 minutes...

That is, all instants of time which are multiples of three.

Betty

5 minutes, 10 minutes, 15 minutes, 20 minutes, 25 minutes, ...

That is, all instants of time which are multiples of five.

Each of the four shapes shown below has been made from four unit cubes.

For each shape, Max takes eight copies of the shape and tries to fit them together to make a
2
×
4
×
4
cuboid.

How many of the shapes can be used to make a cuboid of that size in this way?

Answers

Answer:

Step-by-step explanation:

32

Walter's home was originally valued at $29,275. Due to some home improvements, its value is now $56,176. How much more is Walter's home worth now?

Answers

Answer: $26901

Step-by-step explanation:

From the information given, we are informed that Walter's home was originally valued at $29,275 but that after some improvement, it is now valued at $56,176.

Therefore, the increase in the worth of Walter's home will now be the difference in the values given above. This will be:

= $56,176 - $29275

= $26901

John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is the area of the space that cities enclose? Round your answer to the nearest whole number. Do not include units in your answer.

Answers

Answer:

[tex]Area = 30[/tex]

Step-by-step explanation:

Given

Rectangle coordinates

[tex]A = (0,4)[/tex]

[tex]B = (4,2)[/tex]

[tex]C = (1,-4)[/tex]

[tex]D =(-3,-2)[/tex]

Required

The area of the rectangle

The area is calculated as:

[tex]Area = Length* Width[/tex]

The length of the rectangle will be represented as:

[tex]Length = AB = CD[/tex]

And the width is:

[tex]Width = BC = AD[/tex]

Calculate distance AB using:

[tex]AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }[/tex]

Where:

[tex]A = (0,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (4,2)[/tex] [tex]--- (x_2,y_2)[/tex]

[tex]AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }[/tex]

[tex]AB = \sqrt{(- 4)^2 +(2)^2 }[/tex]

[tex]AB = \sqrt{16 +4 }[/tex]

[tex]AB = \sqrt{20}[/tex]

Calculate distance BC using:

[tex]BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }[/tex]

[tex]C = (1,-4)[/tex] [tex]---(x_1,y_1)[/tex]

[tex]B = (4,2)[/tex] [tex]--- (x_2,y_2)[/tex]

[tex]BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }[/tex]

[tex]BC = \sqrt{(- 3)^2 +(-6)^2 }[/tex]

[tex]BC = \sqrt{9 +36}[/tex]

[tex]BC = \sqrt{45}[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = AB * BC[/tex]

[tex]Area = \sqrt{20} * \sqrt{45}[/tex]

[tex]Area = \sqrt{20 * 45}[/tex]

[tex]Area = \sqrt{900[/tex]

[tex]Area = 30[/tex]

A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?

Answers

Answer:

[tex]h_t=9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of child [tex]h_c=3ft[/tex]

Height of child's shadow  [tex]h_c_s=2ft[/tex]

Height of tree's shadow [tex]h_t_s=6ft[/tex]

Since position of Sun remains constant  

Generally the equation for Height of tree h_t mathematically given by

 [tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]

 [tex]h_t=6*\frac{3}{2}[/tex]

 [tex]h_t=9ft[/tex]

solve:

100^x=10^(2x+5)

Answers

Answer:

[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]

simplifies to

[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]

no solution

1. Remove parentheses.
100^x = 10^2x+5

2. Convert both sides to the same base.
10^2x = 10^2x + 5

3. Cancel the base of 10 on both sides.
2x = 2x + 5

4. Cancel 2x on both sides.
0 = 5

5. Since 0 does not equal 5, the is no solution.

Answer: No solution

Find the largest area of the circle enclosed in a square, provided the area of
the square is 324 sq. cm. A.254 sq.cm
B.255 sq.cm
C.256 sq.cm
D.257 sq.cm

Answers

the largest area of the circle enclosed in a square is B.255 sq.cm that’s what i think

Sarah goes to dinner with two friends the total cost of dinner is $61.92 her friends pay 2/3 of the total cost exactly how much does Sarah pay

Answers

Answer:

the amount paid by Sarah is $20.64

Step-by-step explanation:

Given that

The total cost of the dinner is $61.92

And her friends pay 2 by 3

We need to find out the amount paid by Sarah

Since her friends pay 2 by 3 of the total cost

That means the remaining should be paid by Sarah i.e. 1 by 3

So, we need to multiply 1 by 3 with the total cost of the dinner i.e.

= 1 ÷3 × $61.92

= $20.64

Hence, the amount paid by Sarah is $20.64

The outside of a round swimming pool is 40ft. How far is it to swim from the center to the outside?

Answers

Answer:

20ft.

Step-by-step explanation:

The perimeter is 40ft. You are starting at the perimeter of the pool swimming inward, you will have to swim half of that distance to reach the center.

Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты

Answers

Answer:

I do not understand ummmm

What percent of the ninth grade students scored between 78 and 96?

Answers

Answer:

30%

Step-by-step explanation:

Answer: Its 18%

Step-by-step explanation: To get the answer subtract 96 from 78

The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building​

Answers

Answer:

1114 ft

Step-by-step explanation:

tan 22°=450/d

==>d=450/tan 22°=1113.7890... ≈1114 (ft)

Which is the graph of y – 3 = -2/3 (x + 6)?

Answers

answer is in attachment!

A café's annual income depends on x, the number of customers. The function /(x) = 4x2 – 20x
describes the café's total annual income. The function C(x) = 2x2 + 5 describes the total amount
the café spends in a year. The café's annual profit, P(x), is the difference between the annual income and the amount spent in a year.
Which function describes P(x)?
A. P(x)= 2x^2 - 20x - 5
B. P(x)= 4x^3 - 20x^2
C. P(x)= 6x^2 - 20x + 5
D. P(x)= 8x^4 - 40x^3 - 20x^2 - 100x

Answers

Answer:B

Step-by-step explanation:

The value of P(x) the difference between the annual income and the amount spent in a year is,

⇒ P(x) = 2x² - 20x - 5

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The function f (x) = 4x² – 20x describes the café's total annual income. And, The function C(x) = 2x² + 5 describes the total amount the café spends in a year.

Hence, The value of P(x) the difference between the annual income and the amount spent in a year is,

⇒ P(x) = 4x² - 20x - 2x² - 5

⇒ P (x) = 2x² - 20x - 5

Thus, The value of P(x) the difference between the annual income and the amount spent in a year is,

⇒ P(x) = 2x² - 20x - 5

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

HELP PLEASE. urgent help needee

Answers

Answer:

123 cm^2

Step-by-step explanation:

for the rectangles its

#1     5(4)=20 cm^2

#2    5(7)= 35 cm^2

#3     5(8) = 40 cm^2

for the triangles its

4(7)(.5)(2)= 28 cm^2

4(7)= 28 cm^2

I get the .5 from the triangle area formula

and since the triangles are equal I multiplied it by 2 again so the .5 cancels out.

in the end you add them all up which is 20+35+40+28 = 123 cm^2

Is QRST at the right a rectangle? Explain.

Answers

Answer:

Right rectangle.

Step-by-step explanation:

The rectangle will be a right rectangle only if the opposite sides are parallel to each other.

This means that RQ should be parallel to ST

And RS should be parallel to QT

Each side can be represented by a line with a restricted domain, and we know that two lines are parallel only if they have the same slope.

Remember that the slope relates to how a change in the x-value makes a change in the y-value.

Then if two segments have, for a fixed change in the x-value, the same change in the y-value, we can conclude that those segments are parallel.

So here to see if the lines are parallel, we just need to compare the changes between the endpoints of each segment.

Let's start with segments QR and TS

First let's look at the segment QR, and let's try to find the difference in the coordinates between R and Q.

In the graph, we can see that R is 3 units above and one unit to the right of Q.

Now let's do the same for the other segment:

In the graph, we also can see that S is 3 units above and one unit to the right of T.

So these two lines will have the same slope:

Only with this, we can conclude that sides QR and TS are parallel.

Now with the other two segments: RS and QT.

Similar to the above case, for the segment RS we can see that S is 4 units at the right and 1 unit below R.

For the segment QT, we can see that T is 4 units at the right and one unit below Q.

So segments RS and QT have the same slope, thus, the segments are parallel.

Then we can conclude that this is a right rectangle.

Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?

Answers

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

Which expression gives the volume of a sphere with radius 16?
O A. $ r (262)
B. 47(262)
O C. (163)
O D. 4t(153)

Answers

Answer:

16,384π/3

Step-by-step explanation:

V = (4/3)πr³

V = (4/3)π(16³)

V = 16,384π/3

Answer:

Step-by-step explanation:

Equation

V = (4/3) pi r^3

Givens

r = 16

Solution

V = (4/3) pi 16^3

V = (1.3333) * 3.14 * 4096

V = 171148.5

None of those answers agree with mine. Are those the real choices?

A triangular prism and its dimensions are shown in the
diagram. What is the lateral surface area of this triangular
prism in square centimeters?
Select one
192cm?
144cm?
0
128cm
O
152cm

Answers

1444jsjzjdjdjdjsnskzkzmmsm

There are 126000 people living in a town. 52920 people in the town own a car. A local environmental group proudly announces 'fewer than 40% of residents own a car'. Is this statement accurate? Give a reason for your answer.

Answers

Answer:

False

Step-by-step explanation:

Given that

There are 126000 people living in a town

Out of which 52920 people in the town own a car

So based on this, the group announces that fewer than 40% of residents own a car

We need to find out the statement is correct or not

So here we determine the percentage

= 52,920 ÷ 126,000

= 42%

Since it is more than 40%

So the given statement is false

Select the correct answer.

What is the purpose of the IRS?

A.
to collect taxes and enforce tax laws
B.
to provide a collection of domestic and foreign securities
C.
to foster cooperation between nations to solve economic issues
D.
to ensure fair global trade practices

Answers

A. To collect taxes and enforce tax laws.

Answer:

I think A ................

Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear

A. K=-3

B. K=1/3

C. K=1/2

D. K=2

E. K=3

F. K=-1/3

Answers

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]

[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]

The three points are W(0,-2), I(2,0) and L(5,k). So,

[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]

[tex]0+2(k+2)+5(-2)=0[/tex]

[tex]2k+4-10=0[/tex]

[tex]2k-6=0[/tex]

Adding 6 on both sides, we get

[tex]2k=6[/tex]

[tex]k=\dfrac{6}{2}[/tex]

[tex]k=3[/tex]

Therefore, the correct option is E.

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