Question

In order for the parallelogram to be a rhombus, x=[?]. (9x+31) 32 HELP NEEDED ASAP

Answer 1

X = 3



Explanation:

In a rhombus, the diagonals are perpendicular, creating four congruent right triangles.


Because the value of all three angles within any given triangle will add up to 180°, we can easily simplify the equation.

First, we’ll need to add our given angles. Which are 32° (as can be seen on the graph) and 90° (because any pair of perpendicular lines create four right angles and this triangle includes one of them).

32° + 90° = 122°


Next, we’ll subtract 122 from 180 to find the remaining angle measure

180 - 122 = 58

Then, we’ll subtract 31 with the subtraction property of equality

58 - 31 = 27

Right now, our equation looks like:

27 = 9x


In order to simplify this equation further, we must use the division property of equality to get x on its own.

27/9 = 9x/9

3 = x