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bogdanovich [222]
3 years ago
15

Find the measure of each angle.

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

<u>Given</u>:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

<u>Measure of ∠L:</u>

By the property of isosceles trapezoid, we have;

\angle K+\angle L=180^{\circ}

118^{\circ}+\angle L=180^{\circ}

           \angle L=62^{\circ}

Thus, the measure of ∠L is 62°

<u>Measure of ∠M:</u>

By the property of isosceles trapezoid, we have;

\angle L \cong \angle M

Substituting the value, we get;

62^{\circ}=\angle M

Thus, the measure of ∠M is 62°

<u>Measure of ∠J:</u>

By the property of isosceles trapezoid, we have;

\angle J \cong \angle K

Substituting the value, we get;

\angle J =118^{\circ}

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

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Answer:

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Step-by-step explanation:

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The general form of the sin function is presented as follows;

y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

The frequency, f = B/2·π

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By comparison with the given sine function, we have;

The amplitude, A = 2

The frequency, f = B/2·π = π/2/(2·π) = 1/4

The frequency, f = 1/4 Hz

C = The horizontal shift = 3/(π/2) = 6/π

The vertical shift, D = 0

Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right), is therefore, the line;

y = 0.

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The ages of three cousins are consecutive even whole numbers. The sum of the youngest and oldest is 16. How old is the oldest co
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Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?
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The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe bluep
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<u>Corrected Question</u>

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

Answer:

7 Inch

Step-by-step explanation:

The width of the room on the old blueprint = 12 Inches

<u>Scale on the old blueprint: </u>

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

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The actual width of the room is 42 feet.

<u>Scale on the new blueprint</u>

1 inch equals = 6 feet; which we can reorder as:

6 feet=1 inch

1 feet =1/6 Inch

Therefore:

42 feet = 42 x 1/6 Inch =7 Inch

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