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tia_tia [17]
3 years ago
13

If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY? A) 120° B) 130° C) 140° D) 150°

Mathematics
1 answer:
dybincka [34]3 years ago
6 0
The picture in the attached figure

we have
arc XV = 68°∠YUV = 36°
 we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2

arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°

the answer is
the measure of arc VY is 140°

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Last year Alex earned a monthly salary of $250,and Ben earned monthly salary of $180. This year, each of them received a pay inc
iragen [17]

Answer:

$87.5  more did Alex earn in one month than Ben

Step-by-step explanation:

As given

Last year Alex earned a monthly salary of $250,and Ben earned monthly salary of $180.

This year, each of them received a pay increase of 25% .

25% is written in the decimal form.

= \frac{25}{100}

= 0.25

Increase in the Alex salary this year = 0.25 × Last year salary

                                                             = 0.25 × 250

                                                             = $62.5

Total amount of Alex salary this year for one month = Last year salary + Increase in the Alex salary this year

                                                                                      = 250 + 62.5

                                                                                      = $ 312.5

Thus the salary earn by the Alex this year for a month be $312.5.

Increase in the Ben salary this year = 0.25 × Last year salary

                                                             = 0.25 × 180

                                                             = $45

Total amount of Ben salary this year for one month = Last year salary + Increase in the Ben salary this year

                                                                                      = 180 + 45

                                                                                      = $ 225

Thus the salary earn by the Alex this year for a month be $ 225 .

Amount Alex earn in one month than Ben = Total amount of Alex salary this year for one month  - Total amount of Ben salary this year for one month

Putting the values in the above

                                                                    = $ 312.5 - $225

                                                                    = $ 87.5

Therefore $87.5  more did Alex earn in one month than Ben .

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Answer:

Hello! answer:

Step-by-step explanation:

6 × 12 = 72

6 × 12 = 72

3 × 12 = 36

3 × 12 = 36

3 × 6 = 18

3 × 6 = 18

72 + 72 + 36 + 36 + 18 + 18 = 252 therefore the surface area would be 252 hope that helps!

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