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Olegator [25]
3 years ago
7

Classify the quadrilateral, and then find the value of the variable for each figure:

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer:

x=4,\\y=8

Step-by-step explanation:

Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.

Therefore, we can set up the following equations and solve for x and y:

2y=y+8,\\y=\boxed{8}

4x-8=2x,\\-8=-2x,\\x=\boxed{4}

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Someone please help me!!
kobusy [5.1K]
<h3>Answer:</h3>

A) Isosceles

E) Obtuse

<h3>Step-by-step explanation:</h3>

Ways to Define a Triangle

Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).

Side Length

First, let's define equilateral, isosceles, and scalene.

  • Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
  • Isosceles - 2 of the sides are congruent.
  • Scalene - There are no congruent sides; each side has a different length.

The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.

Angle Measurements

Now, let's define acute, right, and obtuse.

  • Acute - All 3 angles are less than 90 degrees; all angles are acute.
  • Right - 1 of the angles is exactly 90 degrees; it has a right angle.
  • Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.

The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.

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