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Andrei [34K]
2 years ago
12

If an exterior angle measure of a regular polygon is 60°, how many sides does the polygon have? What is the measure of each inte

rior angle?​
Mathematics
1 answer:
liberstina [14]2 years ago
7 0

9514 1404 393

Answer:

  • 6 sides
  • 120°

Step-by-step explanation:

The sum of the measures of the exterior angles of a convex polygon is always 360°. If each is 60°, there are 360°/60° = 6 of them.

There are 6 sides.

The adjacent interior angle is the supplement of the exterior angle, so is ...

  180° -60° = 120°.

Each interior angle measures 120°.

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Decide whether or not the figures are similar. Explain why or why not.
AleksAgata [21]

Step-by-step explanation:

To tell if JKON and JKLM are similar, compare the ratios between corresponding sides.  For example:

JK / KO = 5/8

JK / KL = 5/22

The ratios aren't the same, so the shapes aren't similar.

3 0
3 years ago
Beth rode her bike for the following distance each day
zhuklara [117]
Monday: 3 1/4 miles
Tuesday: (3 1/4)(2/3) = 2 1/6 miles
Wednesday: (2 1/6)(2) = 4 1/3 miles
Thursday: (4 1/3)(3/4) = 3 1/4 miles

Add them all up: 13 miles

She has not reached her goal, she needs to ride her bike 2 more miles to reach her goal.
3 0
3 years ago
Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-5) and (x-6)
meriva

x-5= 0

move -5 to the other side

sign changes from -5 to +5

x-5+5= 0+5

x= 5

x-6= 0

x-6+6= 0+6

x= 6

Answer: B. 5 and 6

5 0
2 years ago
Read 2 more answers
Fill in the blanks to solve 48 x 8.<br> 48 x 8<br> = 40 eights + 8<br> eights
kozerog [31]

Question is:

Fill in the blanks to solve \frac{48}{x} =8.

Answer:

x = 6

Step-by-step explanation:

Given

\frac{48}{x} =8

Required

Solve

Multiply both sides by x

x * \frac{48}{x} =8*x

48 =8*x

Make x the subject

x = \frac{48}{8}

x = 6

4 0
3 years ago
19.
vichka [17]

Answer:

168

Step-by-step explanation:

Sum the parts of the ratio, 6 + 7 = 13 parts

Divide the total number of students by 13 to find the value of one part of the ratio.

364 ÷ 13 = 28 ← value of 1 part of the ratio, thus

number of girls = 6 × 28 = 168

3 0
3 years ago
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