In the rhombus m1 = 10x, m2 = x + y, m3 = 18z. Find the value of each variable
1 answer:
I think the question is missing some details. I found a similar question with an image as i attached in this question.
From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus
Answer:
x = 9
y = 81
z = 5
Step-by-step explanation:
Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.
Therefore m1 = m2 = m3 = 90 degrees
m1 = 10x and m1 =90
So, 10x = 90. Rearrange it to get x = 90/10 = 9
x = 9
m2 = x + y and m2 = 90
So, x + y = 90
9 + y = 90
y = 90 - 9 = 81
m3 = 18z and m3 = 90
So, 18z = 90
z = 90/18 = 5
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To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
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