Question

In the rhombus, m1 = 18x, m2 = x + y, and m3 = 30z. Find the value of the variables x, y, and z. The diagram is not drawn to scale.

Answer 1

Are 1, 2, and 3 the areas of the sections of the rhombus?

Answer 2

yes i believe so.. hold on

Answer 3

We know that all the sections of the rhombus are equal to each other. So:

m_1 = m_2 = m_3

This is a property of rhombuses.

Answer 4

ok..

Answer 5

Yeah, so they're areas.

Given:
m1 = m2 = m3

Substituting:
18x = x + y = 30z

Answer 6

so do i need to bring x over with 18?

Answer 7

Uh sure.

x + y = 18x (Given)
y = 17x

18x = 30z (Given)
x = 30z/18

30z = 18x (Given)
z = 18x/30

Is this all the information they give you...?

Answer 8

yes.. that was everything...:/

Answer 9

Can you check the answer key?

Answer 10

there isnt one... :/ my teacher has it..

Answer 11

Hmm... try asking your teacher. I don't think there's much else we can do here.

Answer 12

well thank you for your help. I will give you a medal for helping. :D

Answer 13

Every angle is going to equal 90 degrees (right angles), so angle 1 is 90/18=x, then you can solve for x+y=90, and finally 90/30=z.