Answer:
m∠YWZ = 36°
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Y is in the interior of ∠XWZ
- Rays WX and WZ sre opposite rays
- That means rays WX and WZ formed a straight angle
- m∠XWY = 4(m∠YWZ)
- We need to find the m∠YWZ
* Lets solve the problem
∵ Rays WX and WZ are opposite rays
∴ ∠XWZ is a straight angle
∵ The measure of the straight angle is 180°
∴ m∠XWZ = 180°
- Point Y is in the interior of ∠XWZ
∴ m∠XWZ = m∠XWY + m∠YWZ
∵ m∠XWY = 180°
∴ m∠XWY + m∠YWZ = 180° ⇒ (1)
∵ m∠XWY = 4(m∠YWZ) ⇒ (2)
- Substitute equation (2) in equation (1)
- That means replace m∠XWY by 4(m∠YWZ)
∴ 4(m∠YWZ) + m∠YWZ = 180
∴ 5(m∠YWZ) = 180
- Divide both sides by 5
∴ m∠YWZ = 36°
Answer:
What's Yo Question What Chu Need Help With ?
<h3>Answers: </h3>
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
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Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
Answer:
The charges will be the same after 4 hours.
Step-by-step explanation:
Total Amount = y
Number of hours = x for x > 2
Garage A: y = $7.00 + (x - 2)*3
Garage B: y = 3.25*x
Part 3: What is the cost to be equal?
3.25x = 7 + 3(x - 2) Remove the brackets
3.25x = 7 + 3x - 6 Collect terms on the right
3.25x = 3x + 1 Subtract 3x from both sides.
3.25x - 3x = 3x - 3x + 1 Combine
0.25x = 1 Divide by 0.25
0.25 x/0.25 = 1 / 0.25
x = 4 hours.