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Allushta [10]
3 years ago
5

HELPPPPPP!!! find each missing length. give all answers in the simplest radical form.

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:

45°

Step-by-step explanation:

the sum of angles in a triangle is equal 180°

we have been given that one angle equals yo 90° and the other equals to 45°

let "?" be the unknown angle

====> 180° = 90° + 45° +?

? = 180° - (90° + 45°)

? = 180° - 135°

? = 45°

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Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

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8 0
3 years ago
The measures of two angles of a triangle are 61 and 84 degrees. Find the measure of the third angle.
Serhud [2]

Answer:

The measure of the third angle is 35°.

Step-by-step explanation:

The sum of the three angles of a triangle is always 180°.

Let the measure of the third angle be x.

∴ 61° + 84° + x = 180°

           145 + x =180°

                    x = 180 - 145

                    x = 35°

Hope this answer was helpful!!

If you liked it, please mark it as the Brainliest!!

Regards..

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%2064%20%7D%20" id="TexFormula1" title=" \sqrt{ - 64 } " alt=" \sqrt{ - 64 }
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3 years ago
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4 0
3 years ago
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