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Stella [2.4K]
3 years ago
9

Find the measures of angles 1 and 2. If necessary, round to the tenths place.

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:

Option C

Step-by-step explanation:

From the picture attached,

m∠ABC = 40° [Given]

Since, measure of the intercepted arc is double of the measure of the inscribed angle.

Therefore, m(arc AC) = 2(m∠ABC)

m(arc AC) = 2(40°)

                 = 80°

m(arc FB) = 115° [Given]

By applying theorem of the angles formed by the chords inside a circle,

m∠2 = \frac{1}{2}(\text{arc}AC+\text{arc}FB)

        = \frac{1}{2}(80^{\circ}+115^{\circ})

        = 97.5°

m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]

m∠1 + 97.5° = 180°

m∠1 = 180° - 97.5°

       = 82.5°

Option C is the answer.

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Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages d
eimsori [14]

Given:

Reese read twice as many pages Saturday than she read Sunday.

She read a total of 78 pages over the weekend.

To find:

The number of pages she read on Sunday.

Solution:

Let x be the number of pages she read on Sunday.

Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.

Total number of page she read over the weekend is:

Total=x+2x

Total=3x

She read a total of 78 pages over the weekend.

3x=78

x=\dfrac{78}{3}

x=26

Therefore, Reese read 26 pages on Sunday.

3 0
3 years ago
Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent
tekilochka [14]

Answer:

 no

Step-by-step explanation:

Lets solve the first half.

-4 ( x - 6) = -4x + 24

Second one:

-4 times x - 4 times  6 = -4x -24

Now compare.....Not the same right??

So your answer is:  no

Hope this helps :)

7 0
3 years ago
Help me pleaseeeeeeeeee
leonid [27]
A is the answer i think

if not then c
5 0
4 years ago
What is 6ft to 4 yards as a fraction in simplest form
Vesna [10]
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4 years ago
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3 0
3 years ago
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