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aev [14]
2 years ago
5

Can anyone explain please?

Mathematics
2 answers:
Diano4ka-milaya [45]2 years ago
7 0

Answer:

Hello,

x=55

Step-by-step explanation:

The rhombus is formed of 2 isocele triangles

(since sides are equals)

The drawn diagonal  bissects the angle

x+15=2x-40

2x-x=15+40

x=55

frosja888 [35]2 years ago
4 0

Answer:

x = 55

Step-by-step explanation:

In a rhombus, each diagonal bisects a pair of opposite angles.

For this parallelogram t be a rhombus, the angles with measures 2x - 40 and x + 15 must be congruent.

2x - 40 = x + 15

Subtract x from both sides.

x - 40 = 15

Add 40 to both sides.

x = 55

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Step-by-step explanation:

Given point:

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The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

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Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

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Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

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The figure is shown below.

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