<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 :)
The sum is y(4y − 1) + <span>(y + 5)2 = 4y² -y +y² +25 - 10y = 5y²-11y + 25
the answer is </span><span>5y2 − 11y + 25
</span>
Answer:48 red marbles
Step-by-step explanation:
144÷24= 6
6*5= 30 white
6*11= 66 black
6*8= 48 red
Answer:
z=16
Step-by-step explanation:
We know for sure that since A and B are parallel that 1, 4, 5, and 8 are equal.
So then the equation is simply 123=7z+11---> 7z=112----> z=16
Answer: the bottom one
Step-by-step explanation:
i think its the bottom one i did some math
