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Step-by-step explanation:
x=18 and y =6
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#666
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Answer:
Y = 6
X = 18
Step-by-step explanation:
In the rhombus you can see that the diagonals divided the rhombus into right angled triangles. To find y use the Pythagorean theorem,
a² + b² = c²
So lets say 8 will be a² and 10 will be c²
8² + b²= 10²
To solve for b² this is what you do,
8² = 64
10² = 100
Rewrite the equation to this
64 + b² = 100
64 - 64 + b² = 100 - 64
b² = 36
Now find the squareroot of 36 to find b²
√36 = 6
b² = 6
Now to find 5x°
(Not sure what that thing at the top of the X is so i'll ssume its the degrees symbol)
So the intersection of the diagonals in a rhombus form 90 degrees right angles.
- 5x would therefore be equal to 90 degrees
- 5x = 90
- 5x/5 = 1x which is = to X
- and 90 divided by 5 =18
- So
- X = 18
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