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marshall27 [118]

3 years ago

9

In geometry, you will learn that supplementary angles add up to 180 degrees. Therefore, if two angles have exterior rays that li

e on a line, those two angles are supplementary and they add up to 180 degrees. Supplementary angles are shown below:
You can use this information to set up an equation to solve the problem below for x.

Angle 1 has measure "x". Angle 2 has measure "2x + 30". Find x.

Hint: use the fact that these two angles lie on a line and are therefore supplementary to write the equation:

x + 2x + 30 = 180

Then solve for x.

Question 3 options:

10

30

50

150

1 answer:

Ipatiy [6.2K]3 years ago

8 0

50 I hope this helps!

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370 is 125% of what number?

bonufazy [111]

Answer:

125/100 x N = 370

x 100 x 100

125n = 37,000 (since your multiplying what you got to the variable)

Divide by 125

N = 296

7 0

2 years ago

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

$y\geq x-2$

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

Help with this one too, please.

OLEGan [10]

5 units left and 7 units up

5 0

2 years ago

Read 2 more answers

the length of a rectangle is 3 units shorter than one -third of the width, x. Which expression represents the perimeter of the r

Mariana [72]

Answer:

A) $\frac{8}{3} x - 6$

Step-by-step explanation:

Let the width of the rectangle be x units.

$\therefore \: length \: of \: rectangle = \frac{1}{3} x - 3 \\ Perimeter \: of \: rectangle = 2(l + w) \\ = 2 \bigg( \frac{1}{3} x - 3 + x \bigg)\\ = 2 \bigg( x + \frac{1}{3} x - 3 \bigg)\\ = 2 \bigg( \frac{3x + x}{3} - 3 \bigg)\\ = 2 \bigg( \frac{4x}{3} - 3 \bigg) \\ = 2 \bigg( \frac{4x}{3} - 3 \bigg) \\ = \frac{2 \times 4x}{3} -2 \times 3 \\ \purple{ \bold{{Perimeter \: of \: rectangle = \frac{8}{3} x - 6}}}$

8 0

3 years ago

First picture is by itself. Next is graph problem :)

monitta

Answer:

1). g(-9) = -81.914

2). Last option

Step-by-step explanation:

1). f(x) = x²

For x = -9

f(-9) = (-9)² = 81

g(x) = $\frac{32}{2x-17}$

g(-9) = $\frac{32}{[2(-9)-17]}$

= $\frac{32}{-35}$

= - $\frac{32}{35}$

(g - f)(-9) = g(-9) - f(-9)

= $-\frac{32}{35}-81$

= $\frac{-32-2835}{35}$

= $-\frac{2867}{35}$

= -81.914

2). The relation is not a function because this function doesn't passes a vertical line test.

Last option will be the answer.

5 0

3 years ago