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mixas84 [53]
3 years ago
14

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

Mathematics
1 answer:
ratelena [41]3 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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A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian
SOVA2 [1]

Answer:

(b) 4,445

Step-by-step explanation:

If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?

Given a=0.05, |Z(0.025)|=1.96 (check standard normal table)

So n=(Z/E)^2*p*(1-p)

=(1.96/0.015)^2*0.5*0.5

=4268.444

Take n=4269

Answer:(b) 4,445

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3 years ago
Type the correct answer in the box. Assume that π = 3.14, and round your answer to the nearest integer.
Hitman42 [59]
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8 0
3 years ago
Read 2 more answers
The sum of three consecutive integers is 915. what are the integers
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6 4/5 of what number is 1 7/10 <br> Show your work
makkiz [27]

Answer:

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___________________

Step-by-step explanation:

Look at the photo below for the details.

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6 0
3 years ago
Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.
VLD [36.1K]

Answer:

Part 1) m

Part 2) m

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

m

arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)

substitute the values

arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°

m

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

m

substitute the values

m

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

m

substitute the values

m

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

m

substitute the values

m

m

3 0
3 years ago
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