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°
Answer:
A= -1
Step-by-step explanation:
SOS:
Answer:
Take the square root of 36 and subtract 2.
Step-by-step explanation:

<em>Hope this helps!!</em>
Answer: 0.0930
Step-by-step explanation:
As per given , we have
H0: μcoffee = 6
Ha: μcoffee < 6
She finds z = −1.68 with one-sided P-value P = 0.0465.
The P-value for two-tailed test is calculated by :

For z= -1.68 , we have

![=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]](https://tex.z-dn.net/?f=%3D2%281-P%28z%5Cleq1.68%29%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D)
Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .
<h3>
Answer: (3, -2)</h3>
Explanation:
Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)
The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.
Add them up: 5+1 = 6
Divide by two: 6/2 = 3
The x coordinate of the midpoint is x = 3
Repeat for the y values -5 and 1
Add: -5+1 = -4
Divide in half: -4/2 = -2
The y coordinate of the midpoint is y = -2
So the midpoint is M = (x,y) = (3,-2)
If you were to use the distance formula, you would find that
distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)
This is what it means to be "equidistant" (aka "equally distant")