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saul85 [17]
2 years ago
13

Find the measures of the numbered angles in the isosceles trapezoid. I need help ASP

Mathematics
1 answer:
Novay_Z [31]2 years ago
5 0

Answer:

  ∠1 = 50°

  ∠2 = ∠3 = 130°

Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

  ∠1 ≅ 50°

  ∠2 ≅ ∠3

The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

  ∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

  ∠1 = 50°

  ∠2 = ∠3 = 130°

_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

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On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?
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Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

1\ cm=\dfrac{15}{9}\ \miles

So, 15 cm is equal to,

15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles

So, 15 cm on the map is equal to 25 miles.

4 0
3 years ago
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41.71%
8 0
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Step-by-step explanation:

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Which is the dependent variable when 3x = y?
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Answer:

A dependent variable is a variable (often denoted by y ) whose value depends on that of another.  so it is the variable that changes depending on the numbers beside it.

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7 0
3 years ago
Does anyone know this?
seropon [69]

Answer:

-124

Step-by-step explanation:

The equation for a discriminant is:

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