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3 years ago

What is the measure of angle C?

Mathematics

1 answer:

irina1246 [14]3 years ago

5 0

Answer:

49°

Step-by-step explanation:

First, solve for x.

3x-7+2x+17=90

5x+10=90

5x=80

x=16

Then put 16 in for x.

2(16)+17=

32+17=49

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Help look at picture!

Luda [366]

Answer:

Step 1: Set x to 0

$-2(0) + y = 3$

$y = 3$

(0, 3)

Step 2: Set x to 1

$-2(1) + y = 3$

$-2 + y + 2 = 3 + 2$

$y = 5$

(1, 5)

Step 3: Set x to 2

$-2(2) + y = 3$

$-4 + y + 4 = 3 + 4$

$y = 7$

(2, 7)

Step 4: Set x to 3

$-2(3) + y = 3$

$-6 + y + 6 = 3 + 6$

$y = 9$

(3, 9)

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Answer:

answer below

Step-by-step explanation:

∠3 = 76°

∠1 = ∠3 = 76° (vertical angle)

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3 years ago

5) The shape is made of a triangle and square.

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Step-by-step explanation:

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Find an equation of the line that (a) has the same y -intercept as the line y + 5x + 9 = 0 and (b) is parallel to the line - 3x

kap26 [50]

Equation of required line is:

$y = \frac{3}{4}x-9$

Step-by-step explanation:

First of all we will convert both equations in slope-intercept form

$y + 5x + 9 = 0$

Subtracting 5x from both sides

$y+9 = 0-5x\\y+9 = -5x$

Subtracting 9 from both sides

$y+9-9 = -5x-9\\y = -5x-9$

The y-intercept is -9.

Other equation is:

$- 3x + 4y = 3$

Adding 3x on both sides

$-3x+3x+4y = 3x+3\\4y=3x+3$

Dividing both sides by 4

$\frac{4y}{4} = \frac{3x+3}{4}\\y = \frac{3}{4}x+\frac{3}{4}$

As the required line has y-ntercept of line y + 5x + 9 = 0

So,

b = -9

And

The line is parallel to second line, so the slopes of both will be equal

$m=\frac{3}{4}$

Slope-intercept form of line is:

$y=mx+b$

Putting values of b and m

$y = \frac{3}{4}x-9$

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago