7. The diagram shows a regular pentagon inscribed inside the rectangle. Find the values of x, y, and z.

Mathematics

1 answer:

Wewaii [24]3 years ago

3 0

<span>regular pentagon sum of interior = (5 - 2) x 180 = 3 x 180 = 540
so
x = 540 / 5 = 108

180 - 108 = 72
y = 72/2 = 36

z = 180 - 90 - 36
z = 54

answer
x = 108, y = 36 and z = 54</span>

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The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the grap

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Answer:

4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20

Step-by-step explanation:

The equations

4 x - 5 y = 5 (red)

3 x + 10 y = 20 (blue)

4 x - 5 y = -5 (green)

3 x + 10 y = -20 (purple)

are shown in the picture attached. As we can see there, the point (–2.7, –1.2) is on the intersection of the purple and green lines. Therefore is the solution of the system:

4 x - 5 y = -5

3 x + 10 y = -20