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3 years ago

Please help. What is the value of x?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

6 0

9514 1404 393

Answer:

5.625

Step-by-step explanation:

The angle bisector divides the sides proportionally.

x/7.5 = 3/4

x = 7.5(3/4) . . . . multiply by 7.5

x = 5.625

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Step-by-step explanation:

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Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

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Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

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$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

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$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

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$AC=12\sqrt{2}\ cm$

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$P=(6\pi+12\sqrt{2})\ cm$

simplify

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$P=6(\pi+2\sqrt{2})\ cm$

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