<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
Answer: j = -0.45
Step-by-step explanation:
2.25 – 11j – 7.75 +1.5j = 0.5j – 1
We can group similar terms:
-11j +1.5j -0.5j = -1 - 2.25 + 7.75
-10j = 4.5
j = 4.5/-10
j = -0.45
Answer: j = -0.45
<h2><em>Spymore</em></h2>
<span>Jon travels 1/2 mile in 1/4 hour. Find the unit rate in miles per hour.</span>
Answer:
g (
x
−
7
)
= x 3 − 21 x 2 + 147
x − 343
Step-by-step explanation: