Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
Step-by-step explanation:
<u>Using Pythagorus theorem</u> :
(A)
![PR = \sqrt{ {PQ}^{2} + {QR}^{2} }](https://tex.z-dn.net/?f=PR%20%3D%20%20%5Csqrt%7B%20%7BPQ%7D%5E%7B2%7D%20%20%2B%20%20%7BQR%7D%5E%7B2%7D%20%7D%20)
![PR = \sqrt{196 + 81} = \sqrt{277} = 16.64 \: cm](https://tex.z-dn.net/?f=PR%20%3D%20%20%20%5Csqrt%7B196%20%2B%2081%7D%20%20%3D%20%20%5Csqrt%7B277%7D%20%20%3D%2016.64%20%5C%3A%20cm)
(B)
![QR = \sqrt{ {PQ}^{2} + {PR}^{2} } = \sqrt{196 +324 } = 22.8 \: cm](https://tex.z-dn.net/?f=%20QR%20%20%3D%20%20%20%5Csqrt%7B%20%7BPQ%7D%5E%7B2%7D%20%20%2B%20%20%7BPR%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B196%20%2B324%20%7D%20%20%3D%2022.8%20%5C%3A%20cm)
I do not agree because 3/4 is greater than 2/3 so you can not do 3/4-2/3
Answer:
32
Step-by-step explanation:
If you already have an angle of 148 on the arc TU, then 180-148=32
Answer:
C. 4x + 1.
Step-by-step explanation:
(5x+3)-(x+2) First remove the parentheses. Remember to distribute the negative over the second one:
= 5x + 3 - x - 2 Bring like terms together:
= 5x - x + 3 - 2 Simplify like terms:
= 4x +1.