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AysviL [449]
3 years ago
11

I need help with number 10 please I’m so confused on how to do it!

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Given:

A figure.

m \angle C D A=9 x+3 and m \angle E D A=6 x+5

To find:

What kind of figure and the value of x

Solution:

All four sides are congruent.

Diagonals bisect each other.

There the given figure is rhombus.

Diagonals bisect the angles.

⇒ m \angle C D A=m \angle E D A

9 x+3=6x+5

Subtract 3 on both sides.

9 x+3-3=6x+5-3

9 x=6x+2

Subtract 6x from both sides.

9 x-6x=6x+2-6x

3x=2

Divide by 3 on both sides.

$\frac{3x}{3} =\frac{2}{3} $

$x=\frac{2}{3} $

The value of x is \frac{2}{3}.

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