Find the measure of the indicated angle

I REALLY NEED HELP FOR SOLVING X! (25 Points)

vaieri [72.5K]

Answer:

105°

Step-by-step explanation:

25+50+x=180

75+x=180

x=105

4 0

3 years ago

Read 2 more answers

Drag the correct graph of each equation into the space next to that equation to show how the output y-values change with changes

Jlenok [28]

Answer:

see the explanation and the attached figure

Step-by-step explanation:

Part 1) Linear

we have

$y=x+3$

This is the equation of the line in slope intercept form

The slope is positive and equal to m=1

The y-intercept is b=3

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

therefore

The graph in the attached figure

Part 2) Quadratic function

we have

$y=3x^2$

This is a vertical parabola open upward with the vertex at origin

As the value of x increases the value of y increases too

As the value of x decreases the value of y increases

therefore

The graph in the attached figure

Part 3) Exponential function

we have

$y=3^x$

This is a exponential growth function

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

The initial value or y-intercept is 3

therefore

The graph in the attached figure

8 0

3 years ago

a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo

sdas [7]

Answer:

Part a) The equation for the volume of the film canister is

$32\pi=\pi r^{2}(8)$

Part b) The radius of the film canister is $2\ cm$

Step-by-step explanation:

The complete question is

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the circular base

h is the height of the cylinder

we have

$V=32\pi\ cm^3$

$h=8\ cm$

substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

Simplify

Divide by 8π both sides

$4=r^{2}$

square root both sides

$r=2\ cm$

6 0

4 years ago

The sum of two consecutive integers is 183. What is the smaller integer?

Natali5045456 [20]

91

Explanation: Since the ones digit ends in a 3, that means the the ones digits of the two consecutive integers must be 1 and 2 or 6 and 7. However, you see 18 in the number 183. 9 + 9 = 18. When you add 6 and 7, you have to carry over one. However, when you add 1 and 2, you do not. Therefore, the two consecutive numbers are 91 and 92. 91 is the smaller integer, so that is the answer.

5 0

3 years ago

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Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburge

DedPeter [7]

Answer:

1 1/2

Step-by-step explanation:

set up a proportion:

8 = 12

1 x

cross-multiply: 8x = 12

x = 12/8

x = 3/2 (simplified)

3 0

3 years ago