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Alexus [3.1K]
3 years ago
10

Halpp me please kind people

Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

Measure 1 is 112º

You know that 112º is the closest answer because you can see the angle is obtuse. And obtuse is an angle less than 180 but more than 90º

Step-by-step explanation:

So a straight line is equal to 180º so just set the equations equal to 180. Your final equation should look like (3x + 22) + (2x + 8) = 180

Now all you have to do is solve for x.

3x + 22 + 2x + 8 = 180

Combine like factors

3x + 2x = 5x

22 + 8 = 30

Now your equation should look like 5x + 30 = 180

Subtract 30 from both sides.                   -30       -30  

                                                                            ----------

                                                                                150

So now the equation should look like 5x = 150

Divide both sides by 5, 150/5 = 30

SO x = 30

Plug 30 in to the equation to check your answer

(3*30 + 22) = 112

(2*30 + 8) = 68

112 + 68 = 180

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Triangle ABC has vertices at A(-5, 4), B(4, 1), and C(1, -8). Choose the terms below which correctly describe this triangle:
Anton [14]

Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

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Answer:

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Read 2 more answers
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