3 years ago

12 POINTS PLEASE HELL. show your steps on how you got this answer.

Mathematics

1 answer:

Romashka [77]3 years ago

8 0

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Rectangle ABCD and right triangle DCE have the same area. They are joined to form a trapezoid, as shown. What is DE?

vfiekz [6]

Since the areas are the same (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12. (1/2 of 5 x 12 is also 30)

So now we use the Pythagorean theorem

a² + b² = c² we have 5² + 12² = c² or 25 + 144 = c² or 169 = c²

The square root of 169 is 13 so side DE is 13 units.

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4 years ago

80 points. Please answer!

klemol [59]

Answer:

a cube that is 1 yard long, 1 yard wide, and 1 yard high

Step-by-step explanation:

The dimensions for a unit cube are:

$1\times1\times1$

<u>Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent). </u>

<u />

Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.

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3 years ago

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SpyIntel [72]

Angles ABC and CBD are complementary - they add up to 90°. This means

(4x + 52°) + (8x - 10°) = 90°

Solve for x :

12x + 42° = 90°

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It follows that angle CBD has measure

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Rina8888 [55]

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Step-by-step explanation:

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