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Montano1993 [528]
3 years ago
12

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.

Mathematics
1 answer:
topjm [15]3 years ago
4 0
- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles). 
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°
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I need some help on this. Not sure how to solve.
andreyandreev [35.5K]

Answer:

x = 9

Step-by-step explanation:

This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°.  Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached).  A 30-60-90 triangle is special because of the relationship of its sides.  The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle.  The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.

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5 0
3 years ago
Simplity:<br> 17 (-12 + 3)
Schach [20]

Answer:

\Huge\boxed{\mathsf{-153}}}

Step-by-step explanation:

\Large\boxed{\mathsf{LESSON: ORDER \quad OF \quad OPERATIONS}}}

\Large\boxed{\mathsf{SUBJECT: MATH}}}

To use the order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

First, do parenthesis.

17(-12+3)

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17(-9)

Then, multiply.

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17(-9)=-153

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\Large\boxed{\mathsf{\Rightarrow -153}}

The correct answer is -153.

3 0
3 years ago
9062016 in expanded form
Sloan [31]
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Hope this is what you were looking for!!
6 0
3 years ago
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