1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ehidna [41]
4 years ago
9

In the figure, ray OB bisects ∠TOY.

Mathematics
1 answer:
Levart [38]4 years ago
8 0

<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 :)

You might be interested in
Which of the following ratios is equivalent to 8:3?
Slav-nsk [51]
WORK:
8×2 = 16
3×2 = 6
ANSWER:
D.) 16/6
3 0
3 years ago
Read 2 more answers
Two cards are chosen at random without replacement what is the probability of getting two aces
VARVARA [1.3K]
4/52 chance of getting an ace.
4 0
4 years ago
Please help with this.
jek_recluse [69]
Hello,

When you have an polygon inscribed in a circle, the opposite angles are supplementary.

Therefore, we can write and solve the following equation.
2x + 3 + 4x + 3 = 180
6x = 174
x = 29

If you substitution 29 into the expression for C, you will find that C = 59.
2(29) + 1 = 59

Good luck,
MrEQ
7 0
3 years ago
If the price of peaches increases, what can be expected?
Colt1911 [192]

Answer:

Fewer will be sold

Step-by-step explanation: From the start of the graph when the price is high the number sold is low.

4 0
3 years ago
Read 2 more answers
A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1​
Yuliya22 [10]

Answer:

264.89cm^2

Step-by-step explanation:

CSA of cylinder=πrl

= 3.1 × 7 ×√149

= 264.89cm^2

8 0
4 years ago
Other questions:
  • I need help in Pre-Algebra! This assignment is due today &amp; I have no idea how to do it, PLEASE HELP!
    11·1 answer
  • Multiply, (x+4)(x-4)  simplify answer.
    10·2 answers
  • While waiting for a video game to download, you notice that 30% of 32,000 kilobytes have been downloaded so far.
    5·2 answers
  • Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in
    12·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST
    13·1 answer
  • 5. Evaluate 13 + 6 + 7 + 4.<br> b. 29<br> a. 2184<br> c. 20<br> d. 30
    6·2 answers
  • Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all
    7·1 answer
  • 5*45+6856x=8x+65x+76x
    15·1 answer
  • ANYEONESSSSSSSSSS???
    15·1 answer
  • What is the volume, in cubic m, of a rectangular prism with a height of 17m, a width of 14m, and a length of 11m?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!