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mixas84 [53]
2 years ago
14

Triangles ABC and EDC are similar . find the measure of angle D.

Mathematics
1 answer:
ratelena [41]2 years ago
4 0
Since you are given that the triangle are similar, by definition of similar, we know that corresponding angles are congruent and corresponding sides are proportional.
The ORDER of the similarity statement is paramount.
Triangle ABC is similar to triangle EDC means that:
Angle A = Angle E
Angle B = Angle D
Angle C = Angle C

Angle B = 62 degrees so Angle D = 62 degrees.
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Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12
vazorg [7]

Answer:

\frac{1}{3}  +  \frac{1}{4}

Step-by-step explanation:

We want to find an expression that has a value of

\frac{7}{12}

First option:

\frac{7}{8}  + 4 =  \frac{7}{8}  +  \frac{32}{8}  =  \frac{39}{8}  \ne \frac{7}{12}

Second option:

\frac{1}{3}  +  \frac{1}{4}  =  \frac{4}{12}  +  \frac{3}{12}  =  \frac{7}{12}

Correct option

Third option

\frac{6}{8}  +  \frac{1}{4}  =  \frac{3}{4}  +  \frac{1}{4}  = 1

Fourth option:

2 \frac{1}{12}  + 5 \frac{1}{12}  =  \frac{43}{6}

5 0
3 years ago
If these two figures are similar, what is the measure of the missing angle? 180 90 70 110
yawa3891 [41]

Answer:

70

Step-by-step explanation:

8 0
3 years ago
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8 0
3 years ago
The population of Watesville decreases at a rate of 1.6% per year. If the population was 62,500 in 2014, what will it be in 2020
yKpoI14uk [10]

Answer:

56,735 people

Step-by-step explanation:

We can set up an equation to model this:

The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.

We can plug in the corresponding values and solve:

y = 62500(1 - 0.016)^6

y = 62500(0.984)^6

y = (62500)(0.9077)

y = 56,734.94, which we can round to 56,735 people

8 0
2 years ago
A = bh; A =96, b = 12 What does h equal?
Elza [17]
96=12.h
h=96/12
h= 8
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2 years ago
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