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rusak2 [61]
3 years ago
15

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. ​

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0

Answer:

\boxed{x=60}

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

130=70+x

Subtract 70 from both sides.

130-70=70+x-70

60=x

Drupady [299]3 years ago
5 0

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

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Using the Segment Addition Postulate, find the value of m.
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Answer:

36

Step-by-step explanation:

AB + BC = AC

4m - 15 + 5m - 6 = 15

m - 21 = 15

m = 36

4 0
3 years ago
In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST
pav-90 [236]

Answer:

ST = 12 units

Step-by-step explanation:

As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.

If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST

Using a rule of three with the sides of the triangle (as they are proportional), we have:

RS / ST = AR / ET

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4 * (21 - ST) = 3*ST

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3 years ago
How would the number 6,870,000,000,000,000 appear in scientific notation on a calculator screen
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5 0
3 years ago
1. A catering company charges $95 plus $12.75 per plate of food. If the cost to cater a party was $656, how many people were at
son4ous [18]

Using arithmetic and the information provided, there were 6 persons at the party.

<h3>Number of people at the party</h3>

The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.

  • Normal charge of a plate of food =  $95
  • Additional charge on each plate of food = $12.75
  • Total cost of the party = $656
  • Total cost of food for each person =   $95 + $12.75 = $107.75

Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food

=  $656/ $107.75 = 6 persons

Learn more about arithmetic: brainly.com/question/2171130

3 0
2 years ago
What is a counting number
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By definition a counting number is all non-negative integers.

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3 years ago
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