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n200080 [17]
3 years ago
8

Let x represent the measure of angle ACD, and let y represent the measure of angle BCF.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0
We know that
in the triangle ACB
∠ACB+90+34=180-----> ∠ACB=180-(90+34)----> ∠ACB=56°
∠ACD and ∠ACB-----> are supplementary angles
so
∠ACD+∠ACB=180-----> ∠ACD=180-56----> 124°------> x=124°

the answer Part 1) is x=124°

Part 2)
∠ACB+∠BCF+80=180-----> ∠BCF=180-(∠ACB+80)---> 180-(56+80)
∠BCF=180-136----> 44°-----> y=44°

the answer Part 2) is y=44°

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8 0
3 years ago
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Xelga [282]

Answer:

(a) AD=6 cm

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Step-by-step explanation:

(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).

Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.

(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²

(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.

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3 years ago
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Step-by-step explanation:

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