Please help me asap (geometry)

Mathematics

1 answer:

Valentin [98]3 years ago

5 0

Answer:

x = 20

Step-by-step explanation:

Angle 2 and Angle 5 are corresponding angles

Corresponding angles are congruent

If angle 2 = 3x - 20 and angle 5 = x + 20

Then 3x - 20 must equal x + 20 ( because corresponding angles are congruent )

Notice that weve just created an equation that we can use to solve for x

We now solve for x using the equation we created

3x - 20 = x + 20

Step 1 add 20 to both sides

3x = x + 40

Step 2 Subtract x from both sides

2x = 40

Step 3 divide both sides by 2

x = 20

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Scrat [10]

Answer:

B. 12.5%

Step-by-step explanation:

Add all the hours together to get 20. We make the assumption that 20 is 100% since it is our output value. We next represent the value we seek with x. From step 1, it follows that 100%=20. In the same vein, x%=2.5.This gives us a pair of simple equations:

100%=20(1)

x%=2.5(2)

By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

$\frac{100}{x}$ = $\frac{20}{2.5}$