<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
w=7.6
x=43.7
Step-by-step explanation:
To solve for w you can use Sin(x)=
which would basically be Sin(50)=
then solve. Multiply the ten on both sides so you have 10*Sin(50)=w and your final answer is 7.6
To solve for x you can also use Sin(x)=
then just use Inverse of Sin^-1
The answer is x=43.7
Answer:
Step-by-step explanation:
times p on both sides
then plus e on both sides
then divide t on both sides
Answer:
29,900 dollars a year
Step-by-step explanation:
So first we need to find how many weeks are in a year which there are 52.143 weeks but that can be rounded to 52. Now that we know that there are 52 weeks in a year all we have to do is multiply 52 by 575 which equals 29,900 dollars a year.
Hope this helps!
