Answer:
4^0
Step-by-step explanation:
whenever the number is to the power of 0 it equals 1
4^5 x 4^-7 ÷ 4^-2 = 1
4^0 = 1
Volume = (l * w * h) or (11 * 3 * x) which will equal surface area. Volume is 33x for now
Surface Area = 2 (x * 11) + 2 (x * 3) + 2 (11 * 3)
Set Volume equal to surface area. I simplified SA already.
33x = 22x + 6x + 66
33x - 28x = 66
5x = 66
x = 66/5 or 13.2
X must be 4.
I uploaded the photo as an answer
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)
