Step-by-step explanation:
12(6) - 7(2) + (6-3)
48 - 14 + 2
36
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)
X= 4/7 because it would be
4/35x=16/245
which would be 28x=16
simplified it would be 4/7
C. 5/6
30 people with soda + 45 people with lemonade = 75/90 people
simplifies to 5/6.
Answer:
7/80
Step-by-step explanation:
(3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P ( green or yellow ) = number of green or yellow / total
= (3+4)/20 = 7/20
Replace
so we have (3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P (blue) = number of blue/ total
= 5/20 = 1/4
P ( green or yellow, replace, blue) = 7/20 * 1/4 = 7/80
