Question

In the rhombus AYXZ, which is 4a + 3b?
Answers:

347 degrees

328 degrees

368 degrees

388 degrees

Answer 1

To get started, recall properties of the rhombus and parallelograms.
If two parallel lines are cut by a transversal, alternate interior angles are congruent.
That gives the red 58 and the red 32.

Recall that the diagonals of a rhombus are perpendicular.
The four triangles are right triangles.
The sum of the interior angles of a triangles is 180.

Answer 2

so what will the final answer be?

Answer 3

We already know a = 58 from the alternate interior angles of parallel lines theorem.

@kittymeow101 Look at triangle ATY and use the triangle sum theorem to solve for b.

Answer 4

You need to solve 58 + 90 + b = 180 for b.

Post what you get for b.

Then, there's a little more work to be done. @kittymeow101

Answer 5

ok let me calculate

Answer 6

Good. I'll get the last part ready.

Answer 7

is the answer 32?

Answer 8

b=32?

Answer 9

Yes.

Answer 10

4a + 3b =

4*58 + 3*32 = ? @kittymeow101

Answer 11

7488?

Answer 12

Do this calculation to get the answer:

4*58 + 3*32 = ?

Answer 13

i got 7488

Answer 14

How did you get that?

4 times 58 =

3 times 32 =

Then add those two product together. 7488 is not correct.

Answer 15

oh no its 328

Answer 16

328 is what I got @kittymeow101