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
White raven [17]
3 years ago
13

What is the measure of AC ? Enter your answer in the box. °

Mathematics
2 answers:
DerKrebs [107]3 years ago
5 0

Answer: 33^{\circ}

Step-by-step explanation:

We know that, the inscribed angle theorem says that the measure of an inscribed angle is exactly half the measure of its intercepted arc.

In the given picture , the inscribed angle = (2.5x+4)°

The intercepted arc = (7x-2)°

Then by inscribed angle theorem , we have

(2.5x+4)=\dfrac{1}{2}\times  (7x-2)\\\\\Rightarrow\ 2(2.5x+4)=7x-2\\\\\Rightarrow\ 5x+8=7x-2\\\\\Rightarrow\ 7x-5x=8+2\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=\dfrac{10}{2}=5

Now, the measure of \overarc{AC}=(7x-2)^{\circ}=(7(5)-2)^{\circ}=(35-2)^{\circ}

=33^{\circ}

Hence, the measure of arc AC =33^{\circ}

irakobra [83]3 years ago
4 0

Solution:

we are given that

Inscribed angle=(2.5x+4)

Intercepted arc=(7x-2)

As we know that the Inscribed angle is Half of the measure of the intercepted arc.

So we can write

(2.5x+4)=\frac{1}{2}(7x-2) \\\\7x-2=2(2.5x+4)\\\\7x-2=5x+8\\\\7x-5x=8+2\\\\2x=10\\\\x=5\\\\\text{So Measure of arc AC}=(7x-2)=7*5-2=35-2=33

You might be interested in
A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeter
Taya2010 [7]

A = bh/2

12= bh/2

bh = 24

We need to find pairs that multiply to 24

Answer:    b=3 and h=8 ,  b=6 and h=4, b=12 and h=2​

8 0
3 years ago
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years
o-na [289]
The answer to this would be 25.

Explanation:If Todd is three years older than jack you will have to subtract the three from that 28 to get your answer.
4 0
4 years ago
Read 2 more answers
2=7(−2)+4 what is y?
solmaris [256]

Answer:

2

Step-by-step explanation:

y would be the first number in the equation on the left side of the equal sign. This looks lik the y=mx+b formula, so m, being slope, would be 7, -3 would be x, and b would be 4.

6 0
1 year ago
Read 2 more answers
suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio
djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

\mu = \mu_X - \mu_Y = 45 - 35 = 0

\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

Z = \frac{0 - 10}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0
3 years ago
Need help with my math simplify
nlexa [21]

2+42/-2-5(-3)  Multiply -5 and -3.

2+42/-2+15 Now, add the non fraction numbers. (2 and 15)

17+42/-2 Here, you want to reduce the fraction if you can, and yes, you can. Find the divisible number that is the lowest one that both can be evenly divided by. For this problem, it’s -2.

17-21. And from here, its easy. Just a simple subtraction problem.

-4 should be the correct answer.

3 0
3 years ago
Other questions:
  • Solve for x<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Ba%7D%20" id="TexFormula1" title=" \frac{x}{a} " alt=" \fra
    8·1 answer
  • Combine like terms <br> 9j+34j
    12·2 answers
  • Find the slop of (10,5) (18,9)
    5·2 answers
  • Classify a triangle with sides measuring 5, 7 and 8.
    10·1 answer
  • What is the volume of the sphere in cubic centimeters?
    6·1 answer
  • Help I can’t fail plz help
    10·1 answer
  • Can someone plz help for brainliest
    6·2 answers
  • HELP. I NEED TO KNOW HOW TO ANSWER THIS QUESTION QUICKLY SO I CAN DO IT IN MY EXAMS. PLEASE NO SPAM AND GIVE AN EXPLANATION WITH
    7·1 answer
  • (a) Write 0.3% as a decimal.<br> (b) Write 1.32 as a percentage.
    10·2 answers
  • Including a 7% sales tax, an inn charges $109.14 per night. Find the inn's nightly cost before tax is added.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!