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
Ronch [10]
3 years ago
11

What is the measure of AC?

Mathematics
2 answers:
Orlov [11]3 years ago
7 0

Answer: B. 150^{\circ}

Step-by-step explanation:

From the given picture, we can see a circle with two perpendicularly intersecting chords .

The measure internal angle made by intersecting of chords : 90^{\circ}

The measure of minor arc : 30^{\circ}

The formula to find the internal angle is given by :-

\theta=\dfrac{\text{Minor arc + major arc}}{2}

Let x be the Major arc AC, the we have the following equation:-

90^{\circ}=\dfrac{30^{\circ}\text{ + x}}{2}\\\\\Rightarrow\ 30^{\circ}+x=180^{\circ}\\\\\Rightarrow\ x=180^{\circ}-30^{\circ}\\\\\Rightarrow\ x=150^{\circ}

Hence, the measure of \overarc{AC}=150^{\circ}

deff fn [24]3 years ago
6 0
The answer is:
D.90
I hope I helped
You might be interested in
The center of a circle lies on _____.
algol [13]
<h2>Answer:</h2>

A) every diameter

<em>The center of a circle lies on </em><em>every diameter.</em>

<h2>Explanation:</h2>

B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.

C) A tangent line: obviously this definition is false. A tangent line is a line not a point.

D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle

A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.

4 0
3 years ago
Which postulate proves the two<br> triangles are congruent?
sammy [17]

Answer:

<em>AAS</em>

Step-by-step explanation:

<em>because</em><em> </em><em>here </em><em>it </em><em>is </em><em>given</em><em> </em><em>that </em><em>two </em><em>angle </em><em>are</em>

<em> </em><em>equal</em>

and a side is common between both traingle

so, both traingle are congruent by

<em><u>AAS</u></em>

hope it helps

5 0
2 years ago
4n + 1= 25 how do I solve this and show my work?​
Ipatiy [6.2K]

Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

6 0
3 years ago
Read 2 more answers
Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
Monica [59]

Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

Both lines intercept the x-axis in the point :

I = (i_{1} ,i_{2})

In all point from x-axis the y-component is equal to 0.

I=(i_{1},o)

We replace the I point in the lines equations:

0=a(i_{1})+b \\0=c(i_{1})+d

From the first equation :

0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}

Then i_{1}=i_{1}

Finally :

\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0
3 years ago
Find exact volume of a sphere with a radius of 10in
Elodia [21]

To find the volume of a sphere, we can apply the following formula:

(4

/3)πr^3

We know the radius is 10, so we can plug that value in.

(4/3) * pi * 10^3

<h3>V = 4188.79020479in^3</h3>

The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.

3 0
3 years ago
Other questions:
  • Which of the following is equivalent to 60^1/2
    8·2 answers
  • To determine the number of square centimeters in 8 square inches, multiply 8 by 6.45.
    14·1 answer
  • 4/25+1/5 in simplest form
    12·1 answer
  • Can you add the square root of 6 and the square root of 24? Explain why or why not.
    6·1 answer
  • Point C is the center of the circle. What is the measure of ACB∠ if mAB is equal to 102
    14·1 answer
  • Which is an equivalent expression
    7·1 answer
  • HELP PLEASE!!!!Which of the following is a polynomial with roots:
    8·1 answer
  • Lacey filled a measuring cup with 1/2 of a cup of vegetable oil. Then she poured 1/3 of a cup of the oil into a frying pan. How
    8·1 answer
  • 4 1/3 x 6<br> 2 3/5 x 3 1/3<br> Can you help me? (✿◡‿◡)
    13·1 answer
  • Has vertices
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!