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dsp73
3 years ago
9

Here is another question Angle C and Angle E are supplementary. Find the measure of Angle E.

Mathematics
2 answers:
irina [24]3 years ago
7 0
The measure of angle e is 51
sergejj [24]3 years ago
5 0

Answer:

51

Step-by-step explanation:

Since angle C and E are supplementary,

angle \: e \:  +  \: angle \: c = 180 \\ angle \: e \:  + 129 = 180 \\ angle \: e = 180 - 129 \\  = 51

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Find the missing side length BM. Round answer to the nearest tenth.
xenn [34]

Answer: BM = 21.4

Step-by-step explanation:

Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as

m/SinM = s/SinS = b/SinB

Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.

From the information given,

Angle M = 102°

Angle B = 35°

Angle S = 180 - (102 + 35) = 43°

b = MS = 18

s = BM

Therefore

18/Sin 35 = BM/Sin 43

Cross multiplying, it becomes

BMSin35 = 18 × Sin 43

BM × 0.5736 = 18 × 0.6820

0.5736BM = 12.276

Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes

0.5736BM/0.5736 = 12.276/0.5736

BM = 21.4

6 0
3 years ago
How to Factor 4p^2+4p-5
Anarel [89]

4p^2 + 4p - 5

As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.

<em><u>List factors of -20.</u></em>

-5 * 4

5 * -4

-10 * 2

10 * -2

-20 * 1

20 * -1

<u>None of the factors added together result in positive 4.</u>

Because splitting the middle term is not possible, and we cannot simplify this expression any further:

This expression cannot be fully factored.


7 0
3 years ago
Ast year, 3,120 students competed in a statewide athletic competition. If each participating school district sent 26 students to
andreyandreev [35.5K]

Answer: 120 schools

Step-by-step explanation:

3,120 students competed in a statewide athletic competition and each participating school district sent 26 students to the athletic competition.

Total number of students= 3120

Total students sent by each school= 26

Number of participating school districts= Total number of students ÷ he students sent by each school

= 3120 / 26

= 120 students

There are 120 participating schools in the competition

3 0
2 years ago
Read 2 more answers
Find the volume of the cone
Alik [6]

Volume =  

1  πr2h

3

=  

1 ×π×42×7

3

=  117.28612573402 centimeters^3

3 0
2 years ago
7x² + 6x - 1<br> Algebra 3|factoring
GaryK [48]

Answer:

(7 x - 1) (x + 1)

Step-by-step explanation:

Factor the following:

7 x^2 + 6 x - 1

Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):

(7 x - 1) + x (7 x - 1)

Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):

Answer: (7 x - 1) (x + 1)

5 0
3 years ago
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