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makkiz [27]
3 years ago
8

Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles

triangle. The area of the trapezoid is 75 square inches. If the altitude of triangle $ABE$ from $A$ is 20 inches, what is the number of inches in the length of $\overline{CD}$ ?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

5 inches

Step-by-step explanation:

See attachment for explanation.

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Can someone please help me?
Lostsunrise [7]

Answer:

The angle between the two sides of the right triangle is aproximately 31.003º.

Step-by-step explanation:

From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:

\cos \alpha = \frac{6}{7}

\alpha = \cos^{-1} \frac{6}{7}

\alpha \approx 31.003^{\circ}

The angle between the two sides of the right triangle is aproximately 31.003º.

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3 years ago
NEED HELP! ITS DUE NOW!
Rasek [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
100 POINTS AND BRAINLIEST
zysi [14]

Answer:

8 square units and \frac{40}{3} square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor \frac{1}{3}, then

\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.

2. Triangles ABC and DBE are similar with scale factor \frac{2}{3}, then

\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.

3. Thus, the area of the quadrilateral DFGE is

A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.

and the area of the quadrilateral ADEC is

A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.

4 0
3 years ago
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What is 86.69 rounded to the nearest dollar?
xxMikexx [17]
86.60 rounded to the nearest dollar would be 87 dollars
5 0
3 years ago
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I will mark brainliest and giving 20 points
goblinko [34]

Answer:

C. 80

Step-by-step explanation:

5x10x.5=25

25x2=50

3x10=30

50+30=80

4 0
3 years ago
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