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schepotkina [342]
2 years ago
7

In the rhombus, angle 1=9x, angle 2=y+x, and angle 3=15z. Find the value of each variable. The diagram is not to scale.

Mathematics
1 answer:
notka56 [123]2 years ago
3 0
From the diagram, all three angles are 90° (Diagonals of a Rhombus)

Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10


Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80


Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6

Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>
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m = y - y_1 / x - x _1

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Using what we are provided with

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Imputing the values

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Lets cross multiply

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12x + 48 + 200 = 20y

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Following this equation of line

y = mx + C

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Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

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y = 12x / 20 + 248 / 20

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