Answer:
∠ WZX = 50°
XW is not an altitude.
Step-by-step explanation:
16. See the attached figure.
XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ
Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13
Hence, ∠ YXZ = 2 ∠ WXY
⇒ 8x + 34 = 2(10x - 13)
⇒ 8x + 34 = 20x - 26
⇒ 12x = 60
⇒ x = 5.
Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)
Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°
Hence, from Δ WXZ,
∠ WZX + ∠ WXZ + ∠ XWZ = 180°
⇒ 50° + 37° + ∠ XWZ = 180°
⇒ ∠ XWZ = 93° ≠ 90°
Hence, XW is not an altitude. (Answer)
Answer:
A
Step-by-step explanation:
So we have the two functions:

And we want to find:

This is the same as:

So, to find the answer, find g(1) first:

Now, substitute this value for g(1):

And plug this into f(x):

Therefore:

Our answer is A
Answer:
About 7.2 OR (7.211102551)
Step-by-step explanation:
lets say there are 100 girls.
4/5 of 100 is 80, so 80 girls have brown hair.
3/4 of the 80 who have brown hair have long hair.
3/4 of 80 is 60.
so we know that out of 100, 60 have long brown hair.
in simplest fraction form, 60/100= 3/5
Answer:
24
Step-by-step explanation:
2(54-6x)=73-7x
108-12x=73-7x
108-73=-7x+12x
35=5x
x=7
UW=73-7x=73-7(7) = 73-49 = 24