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vfiekz [6]
3 years ago
7

Triangle abc has angle measures as shown What is the value of x? Show your work.

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

x=31

<c = 93

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

<a +<b + <c = 180

35+ 52+3(x+2) = 180

Combine like terms

87+3(x+2) = 180

Subtract 87 from each side

87-87 +3(x+2) = 180-87

3(x+2) =93

Divide each side by 3

3(x+2)/3 = 93/3

x+2 = 31

Subtract 2 from each side

x+2-2 = 31-2

x = 29

Substitute x into the expression for angle c

<c = 3(x+2)

    =3(29+2)

   = 3(31)

  =93

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6 0
3 years ago
What is Representing Relationships of Angle Measures
Studentka2010 [4]

<u>Given</u>:

Angles X and Y form a straight line. Angles W and Z form a straight line. Angles X and W are beside each other. Angles Y and Z are beside each other.

We need to determine the relationship that represents the measure of ∠X and ∠Y

<u>Option a</u>: m∠X = m∠Y

Two angles are said to be congruent only if they are vertically opposite angles.

Since, we know that the given relationship between X and Y is a straight line, the relationship  m∠X = m∠Y does not represent the relationship between X and Y.

Hence, Option a is not the correct answer.

<u>Option b</u>: m∠X + m∠Y = 90°

The given relationship shows that the angles X and Y are complementary angles. Because complementary angles add up to 90°

Hence, the given relationship m∠X + m∠Y = 90° does not represent that the angles X and Y are straight line.

Hence, Option b is not the correct answer.

<u>Option c</u>: m∠X + m∠Y = 100°

The given relationship shows that the sum of the two angles X and Y is 100°

Hence, the relationship m∠X + m∠Y = 90° does not represent that the angles X and Y forms a straight line.

Hence, Option c is not the correct answer.

<u>Option d</u>: m∠X + m∠Y = 180°

The given relationship shows that the angles X and Y are linear pairs of angles. That is, two angles in a straight line add up to 180°

Hence, the relationship m∠X + m∠Y = 90° represents the angles X and Y form a straight line.

Hence, Option d is the correct answer.

8 0
3 years ago
As a salesperson at Max’s Mattresses, Richard earns $250 plus $15 for each mattress he sells.  Which equation can Richard use to
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Answer:

e = 250 + 15m

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The earnings or "e" are determined by the solution of the $250 he's earned from the start and the $15 he earns are dependent on the amount of mattresses he's sold so "m" has to be multiplied by the 15.

4 0
3 years ago
victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. ap
kupik [55]
The <u>correct scale</u> is 1 in = 4 mi.

<u>Explanation</u>:

The scale tells us what a given measurement on the map equals in real-life distance.  

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8.  This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4.  This is the same as 
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6 0
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