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miskamm [114]
2 years ago
12

MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.

Mathematics
1 answer:
maxonik [38]2 years ago
7 0

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

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Explanation:

For a theorem that says "if A then B", the converse is "if B then A."

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The hing.e theorem has numerous parts to the hypothesis. Its converse retains many of those conditions, swapping only the relation between the included angle and the third side.

<u>theorem</u>: if two sides of one triangle are congruent to two sides of another, then the longest third side will be opposite the largest included angle.

<u>converse</u>: if two sides of one triangle are congruent to two sides of another, then the largest included angle will be opposite the longest third side.

Instead of relating the third side to the angle measure, the converse relates the angle measure to the third side.

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2 years ago
A fair charges an admission fee of 2 dollars for each person. Let a be the cost of admission (in dollars) for P people. Write an
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Answer:

a = 2p

Step-by-step explanation:

Given

Admission\ Fee = \$2 per person

Required

Represent as an equation

For 1 person, the admission fee is 2

For p people, the admission fee will be 2p.

Hence:

a = 2p

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zavuch27 [327]

Answer:

  • x = 6√2
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Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

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<h3>x</h3>

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

  x = 6√2 . . . . . . take the square root

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<h3>y</h3>

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A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving th
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The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

<h3>What is the area of the rectangular table?</h3>

Since the carpenter built a square table with side length x.  Next, he will build a rectangular table by tripling one side and halving the other.

To find the area of the rectangular table, we know that Area, A = LW where

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  • W = width

Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .

So,

let

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So, the area of the rectangular table A = LW

= x/2 × 3x

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So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

Learn more about area of rectangular table here:

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