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
Jet001 [13]
3 years ago
6

Find the value of a in the picture

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

The measure of arc a is 86°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

86°=(1/2)[arc c+arc a]

see the attached figure with letters to better understand the problem

In this problem

Triangles ABO and CDO are congruent by SSS postulate theorem

∠AOB=∠COD

∠AOB=arc a -----> by central angle

∠COD=arc c -----> by central angle

therefore

The measure of arc a is congruent with the measure of arc c

arc a=arc c

so

86°=(1/2)[2arc a]

86°=[arc a]

arc a=86°

You might be interested in
An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
IceJOKER [234]
The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


7 0
3 years ago
Choose the correct converse.
a_sh-v [17]

Answer:

i think it is B i am not sure

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the answer to 2/3 ( c-18)= 7, please show the steps
Roman55 [17]

(2/3)*(c-18)=7 <em>(Multiply terms on both sides of equation by 3)</em>

2(c-18)=21

2c-36=21

2c=57

c=57/2

c=28.5

4 0
3 years ago
Read 2 more answers
A report published by the Federal Reserve Bank of New York in 2012 reported the results of a nationwide study of college student
Degger [83]

Answer:

The proportion of borrowers who owe more than 54,000 is 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Researchers found that the average student loan balance per borrower is $23,300.

This means that \mu = 23300

They also reported that about one-quarter of borrowers owe more than $28,000.

This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find \sigma

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{28000 - 23300}{\sigma}

0.675\sigma = 4700

\sigma = \frac{4700}{0.675}

\sigma = 6963

Estimate the proportion of borrowers who owe more than 54,000.

This is 1 subtracted by the p-value of Z when X = 54000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{54000 - 23300}{6963}

Z = 4.41

Z = 4.41 has a p-value of 1

1 - 1 = 0

The proportion of borrowers who owe more than 54,000 is 0%.

3 0
2 years ago
A proportional relationship never passes through the origin. <br> True or False
yanalaym [24]

Answer:

True. (give me brainliest please)

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population o
    11·1 answer
  • What is the equation of the line that passes through the point (-2, -1) and has a<br> slope of ?
    5·1 answer
  • Which of the following would justify step 6?
    5·1 answer
  • Please help me:((((((( It is real urgent! Please and thank you
    5·1 answer
  • Math Help!!
    6·1 answer
  • Help!<br><br> What is the area of the figure Brianna created in square feet?
    8·1 answer
  • Need help and will be giving Brainliest
    14·1 answer
  • The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds. At this rate, how long would it take to assemble 20 pizza
    13·2 answers
  • Big Louie's Pizza House sells a 12" square pan pizza for $3.95 and a 24" square pan pizza for $14.95. Which pizza is a better de
    13·1 answer
  • Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!