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Sergeu [11.5K]
3 years ago
9

What is the measure of ACE in the diagram below? A. 46 B. 104 C. 29 D. 58

Mathematics
2 answers:
sergeinik [125]3 years ago
7 0
Answer : C
***HOPE THIS HELP YOU***
beks73 [17]3 years ago
3 0

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = \frac{1}{2} (AE - BD ) = \frac{1}{2} (104 - 46)° = \frac{1}{2} × 58° = 29° → C

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PLEASE I NEED HELP WITH THIS
Ber [7]

Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

Solution:

The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

m(arc(AD))=105^\circ

The central angle of arc BC is 35 degrees. So,

m(arc(BC))=35^\circ

The central angle of arc CD is 50 degrees. So,

m(arc(CD))=50^\circ

The central angle of a complete circle is 360 degrees. So,

m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ

105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ

190^\circ+m(arc(AB))=360^\circ

m(arc(AB))=360^\circ-190^\circ

m(arc(AB))=170^\circ

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

3 0
2 years ago
You cut a circular hole 1/4 -inch in diameter in a piece of cardboard. With the cardboard 30 inches from your face, the Moon fit
Stolb23 [73]

Answer:

The Moon's diameter is greater than 1,500 miles

Step-by-step explanation:

we know that

1\ mile=63,360\ inches

1,500\ miles=1,500*63,360=95,040,000\ inches

240,000\ miles=240,000*63,360=15,206,400,000\ inches

by proportion

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Let

x-----> the Moon's diameter in inches

\frac{x}{15,206,400,000}=\frac{0.25}{30}\\ \\x= 15,206,400,000*0.25/30\\ \\x=126,720,000\ inches

Compare

126,720,000\ inches> 95,040,000\ inches

therefore

The Moon's diameter is greater than 1,500 miles

3 0
3 years ago
I used 1/3 of a bottle of wax to wax 3/4 of a car. How many cars can I wax with one bottle? Please helppp
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Answer:

2.25 cars are waxed with one bottle

Step-by-step explanation:

1/3 * 3 = 1

3/4 * 3 = 9/4

9/4 = 2.25

4 0
3 years ago
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SSSSS [86.1K]

Answer:

42

Step-by-step explanation:

4 0
3 years ago
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How would 5,708,942,013 be written in word form?
harkovskaia [24]

Answer:

~Hi,~There!

How would 5,708,942,013 be written in word form?

A. five million, seven hundred eight thousand, nine hundred forty-two thousand, thirteen

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