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3 years ago

Given that abcd is a rhombus, what is the value of x?

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

6 0

Answer:

The answers is 19.5

Step-by-step explanation:

jeyben [28]3 years ago

4 0

Answer:

A - 19.5

Step-by-step explanation:

A Rhombus is characterized by the diagonals meeting at a right angle. Therefore, the angle in the center is 90 degrees.

If you look at the bottom triangle, you know that the angles of a triangle add up to 180 degrees. You can say that all of the angles of the triangle added to 180 are:

(3x + 12) + (x) +(90) = 180 degrees

4x + 102 = 180 degrees combining like terms

4x + 102 - 102 = 180 - 102

4x = 78

4x/4 = 78/4

x = 19.5 degrees

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Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

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tan46° = $\frac{opposite}{adjacent}$ = $\frac{b}{23}$

Multiply both sides by 23

23 × tan46° = b, thus

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cos46° = $\frac{adjacent}{hypotenuse}$ = $\frac{23}{c}$

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Step-by-step explanation:

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iren2701 [21]

Answer:

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