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irina1246 [14]
3 years ago
12

The diagonals of rhombus fghj intersect at point k. if side gh is equal to 3x - 10 and side jh is equal to 6x - 19, find x

Mathematics
1 answer:
exis [7]3 years ago
8 0
A rhombus is a square but turned so it looks like a diamond. This means all the sides are equal. With this information we can build an equation to solve for x.

3x - 10 = 6x - 19

1) Subtract 3x from both sides.

-10 = 3x - 19

2) Add 19 to both sides.

9 = 3x

3) Divide both sides by 3.

3 = x

x =3.
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Any suggestions or answers
Sati [7]

Answer:

x=81\degree

y=99\degree

z=129\degree

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

\implies 51\degree+48\degree+x=180\degree

\implies 99\degree+x=180\degree

\implies x=180\degree-99\degree

\implies x=81\degree

Use the exterior  angles theorem to find y.

The exterior angle y is the sum of the two remote interior angles:

y=51\degree+48\degree=99\degree

The sum of angles on a straight line is 180 degrees.

\implies z+51\degree=180\degree

\implies z=180\degree-51\degree

\implies z=129\degree

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