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lawyer [7]
3 years ago
6

In the figure, . Find x and y.

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

The answer to your question is x = 52° and y = 137°

Step-by-step explanation:

Process

1.- Find the value of x using the large right triangle, remember that the sum of the internal angles in a triangle equals 180°.

   x  + 38 + 90 = 180

  x = 180 - 90 - 38

  x = 52°

2.- To find y, we notice that x and y -9 are supplementary angles so their sum gives 180°.

           x + y - 9 = 180

Substitution

          52 + y - 9 = 180

          y = 180 + 9 - 52

          y = 137°

   

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Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18° ​
MArishka [77]
<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0
2 years ago
ILL MARK BRAINILEST (100 POINTS) !!! Factor the polynomial 7xy + 14x − 35y − 70 completely. 7(2x − 5)(y + 2) 7(x − 5)(y + 2) 7(x
Vlad [161]

Answer:

<u>B. 7(x − 5)(y + 2)</u>

Explanation:

A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)

<u><em>B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)</em></u>

C. 7(x − 2)(y + 5) = 7xy <u>+</u> 35x− 14y − 70 (Wrong)

D.  7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)

8 0
2 years ago
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Find the greatest common factor of 20c^2 and 12w
irga5000 [103]

Answer:

60c

Step-by-step explanation:

12x6

10x6

hope i helped bud! ;)

3 0
3 years ago
Rotate -4,3 90 degrees counter clockwise
Delicious77 [7]
The answer would be (4,3)

8 0
3 years ago
Degrees Celsius and degrees Fahrenheit are related by C=5/9(F-32).What is F in terms of C?
valina [46]

We are given: Degrees Celsius and degrees Fahrenheit are related by formula

C=\frac{5}{9} (F-32)

To find : Solve formula for F in terms of C.

Solution: We have , C=\frac{5}{9} (F-32)

First we need to get rid 9 from right denominator.

In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.

9*C=9*\frac{5}{9} (F-32)

9C = 5 (F-32).

Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.

9C = 5F - 160.

Adding 160 on both sides,

9C+160 = 5F - 160+160.

9C+160 =5F

Dividing both sides by 5, we get

(9C+160)/5 =5F/5.

\frac{9C+160}{5}=F

Splitting fraction 1/5, we get

F= \frac{1}{5} (9C+160).




4 0
3 years ago
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