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galben [10]
3 years ago
13

What is the measurement of LaTeX: \angle∠ADC?

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0

Answer:

<ADC=131°

Step-by-step explanation:

<ADC= <ADB+<BDC

We need to substitute the angle measures and simplify to get:

<ADC=89+42

This simplifies to give us:

m \angle \: ADC = 131  \degree

The correct answer from the given options is the first choice.

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Margaret is thinking of a number. She says, “My number is odd. It is a factor of 36 and a multiple of 3” There are two possible
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Answer:

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In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo
AlladinOne [14]

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

6x + 3x + 48 + 2(x+32) = 1080

9x + 48 + 2x + 64 = 1080

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x = 968/11

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Since y = x/2 + 8

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