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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ICE Princess25 [194]

Answer & Step-by-step explanation:

In order to find the y-intercept of this equation, we must turn this equation into a slope-intercept equation. The equation for slope-intercept form is <em>y=mx+b. </em>We can do this by using these steps. Our goal is to get y by itself on one side.

6x - 2y - 9 = 0

Step 1: Add 9 on both sides of the equation.

6x - 2y = 9

Step 2: Subtract 6x on both sides of the equation. Once you subtract, make sure you put the -6x in front of 9 so we are following the rules of variables and exponents.

-2y = -6x + 9

Step 3: Divide -2 on both sides of the equation.

y = 3x - $\frac{9}{2}$