Answer:
z=2
Step-by-step explanation:
2z-6=2(2+2)-10 Distribute.
2z-6=4+4-10 Combine like terms.
2z-6=-2 Add 6 on both sides.
<u>+6 +6</u>
2z=4 Divide by 2 on both sides.
<u>/2 /2</u>
z=2
Hope this helps! Have a great day ^^
With what if you uploaded someone it isn’t loading for me
Answer:
D(- 2, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a pont (x, y ) → (- x, y )
Given D'(2, 9 ) is the image of D, then
D(- 2, 9 ) ← are the original coordinates
Since D(- 2, 9 ) → D'(2, 9 )
In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find.
We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV:
XV^2=XW^2+WV^2-2(XW)(WV)cos W
Replacing the known values:
116^2=96^2+89^2-2(96)(89)cos W
Solving for W
13,456=9,216+7,921-17,088 cos W
13,456=17,137-17,088 cos W
13,456-17,137=17,137-17,088 cos W-17,137
-3,681=-17,088 cos W
(-3,681)/(-17,088)=(-17,088 cos W)/(-17,088)
0.215414326=cos W
cos W = 0.215414326
Solving for W:
W= cos^(-1) 0.215414326
Using the calculator:
W=77.56016397°
Rounded to one decimal place:
W=77.6°
Answer: Third option 77.6°
Answer:
The measure is 145
Step-by-step explanation: