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Leya [2.2K]
3 years ago
12

Find the measure of the indicated angle to the nearest degree

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

The answer is option C

Step-by-step explanation:

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 37

The hypotenuse is 41

So we have

sin ? = 37/41

? = sin-¹ 37/41

? = 64.4805

? = 64° to the nearest degree

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A
tatuchka [14]

Alright, lets say the measure of the 3rd angle (the smallest one) is  x degree, then measure of the 1st angle will be (x + 25) degree, and 2nd one: 3x degree. The sum of all the angles in any triangles is 180 degrees.

(x + 25) + 3x + x = 180

5x + 25 = 180 ---> 5x = 180 - 25 ---> 5x = 155 ---> x = 155/5 ---> x = 31o (third angle)

31 + 25 = 56o (first angle)

3 × 31 = 93o (second angle)

56 + 93 + 31 = 180

8 0
2 years ago
Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y =
lina2011 [118]
-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
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x=2 or x=-1
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8 0
3 years ago
Read 2 more answers
Use a net to find the total surface of the prism.
elixir [45]

Answer:

6682.5cm

Step-by-step explanation:

29+6.5=35.5+19=54.5+1,726=1,780.5+1121=2901.5+2671=5572.5+1110=6682.5

7 0
3 years ago
The length of the line segment <br><br> AB equals 3x+1<br><br> BC equals 4x-5<br><br> AC equals 8x-9
yanalaym [24]

Answer:

X = 5

Step-by-step explanation:

Here is what I am picturing (not to scale)

A ----------------B-----------C

We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).

With reference to the line, AB + BC = AC

So,

3x + 1 + 4x - 5 = 8x - 9

7x - 4 = 8x - 9

5 = x

4 0
3 years ago
The polygons to the right are similar. Find the values of each variable! ( simplify ur answer)
Sever21 [200]

Answer:

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still need help?

Step-by-step explanation:

4 0
3 years ago
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