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]
3 years ago
9

In the figure, ray OB bisects ∠TOY.

Mathematics
1 answer:
Levart [38]3 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
Write 99.124 in expanded form
Fofino [41]
The answer that you are looking for is
90+9+0.1+0.02+0.004
6 0
2 years ago
Read 2 more answers
The scatter plot shows the systolic blood pressure of people of several different ages. The equation represents the linear model
elena-14-01-66 [18.8K]

Answer: 95 mm Hg


Step-by-step explanation:

Given: The equation represents the linear model for the data is

y=x+95

Since, age is an independent quantity whereas blood pressure is dependent quantity.

Thus, y represents the  the systolic blood pressure of people of several different ages (x).

Now, the age of new born baby =0

Substitute x=0 in the equation , we get y=95

Hence, The systolic blood pressure of new born baby = 95 mm hg

5 0
3 years ago
Read 2 more answers
Daniel worked for 2 1/3 hours and earned $18.20. How much would he make if he worked for 5 1/4 hours? Enter your answer in the b
Aleks04 [339]
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
5 0
2 years ago
Read 2 more answers
What is 400 in expanded form (Warfare you get brainliest)
MAXImum [283]
Hey there, Lets solve your question together 

Question - <span>What is 400 in Expanded form ? 
</span>
We know that expanded form is a spread out way to write a number by showing the value of each individual digit that contributes<span> to make the full number. 
</span>
Lets use an example to show expanded form

Number - 4,265 

= 4 x 1,000 + 2 x 100 + 6 x 10 + 5 x 1 

Now lets solve for the number 400 in expanded form. 

The number "4" is in the hundreds place 

The number "0" is in the tenths<span> place 
</span>
<span>The number "0" is in the One's place 

</span>Therefore 400 in expanded form is 400+00+0. 
 
<span>          Hope this helps </span>




5 0
3 years ago
Read 2 more answers
The sum of two consecutive integers is 1. Find the integers.
stepladder [879]

Answer:

1+0

Step-by-step explanation:

because your adding

4 0
2 years ago
Other questions:
  • Sanjay expects 10 000 visitors at the festival. For health and safety, there must be fewer than 0.9 visitors per square metre. I
    9·1 answer
  • Please Help!! ASAP!!!! I will mark you brainiest!!!!!
    14·1 answer
  • Can use the help please
    14·1 answer
  • 13 in<br> a<br> 12 in<br> What is the length of the missing leg?<br> a =<br> inches
    5·1 answer
  • Is (x-3) a factor of (x^3-3x^2+2x+2)
    6·2 answers
  • The formula of the volume of a pyramid is 1/3BH, where B represents the area of the base of the pyramid and H represents the hei
    15·1 answer
  • Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would a
    6·2 answers
  • Which system of linear inequalities is represented by the graph?
    13·2 answers
  • 12 divided by 768,907 times that by 3 add 6 yaaake away 7
    8·1 answer
  • James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!