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2 years ago

Use the Exterior Angles Theorem to find the measure of each angle in degrees.

Mathematics

1 answer:

Gre4nikov [31]2 years ago

8 0

You have to begin by using the triangle sum therom. That means Angle DEC would be 64°, Angle D would be 76°, and angle C would be 40°

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Set 4x equal to x+30 and solve.

prisoha [69]

Answer:

x = 10

Step-by-step explanation:

1) Subtract x from both sides.

4x − x = 30

2) Simplify 4−x to 3x

3x = 30

3) Divide both sides by 3

x = $\frac{30}{3}$

4) Simplify $\frac{30}{3}$ to 10

x = 10

7 0

3 years ago

NEED HELP FINDING SLOPE OF THE LINE

mamaluj [8]

Answer:

slope = - $\frac{2}{3}$

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = $\frac{-2-2}{2-(-4)}$ = $\frac{-4}{2+4}$ = $\frac{-4}{6}$ = - $\frac{2}{3}$

5 0

1 year ago

Write an equation of a line parallel to y=1/2x+3 that passes through (2,5)

tamaranim1 [39]

$y=\frac{1}{2}x+3 \parallel y=mx+b$

Two lines are parallel when their slopes are the same.
$m=\frac{1}{2} \\ y=\frac{1}{2}x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\
5=\frac{1}{2} \times 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=\frac{1}{2}x+4}
$

5 0

2 years ago

Read 2 more answers

2: how many years are in 210 months? Show work.

-BARSIC- [3]

2: 17.5 years. Work; 12 months in one year, 210 months divided by 12 months= 17.5 years.

5 0

2 years ago

Mikheal wanted to rewrite the conversion factor "1 yard = 0.914 meters" to create a conversion factor to convert meters to yards

Levart [38]

Divide both 1 yard and 0.914 meters by 1. 1x = 0.914y
Now, since you want 1 meter = "variable"
1 meter times 1 yard divided by 0.914 meters.
1 meter = 1.094 yards

7 0

2 years ago

Use the Exterior Angles Theorem to find the measure of each angle in degrees.​

Use the Exterior Angles Theorem to find the measure of each angle in degrees.