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gulaghasi [49]
3 years ago
9

The length of two complementary angles are x and 2x+12. Find the measures of the angles.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

There's no such thing as the "length"of an angle. 
But we know what you're getting at.

You have said that the angles are complementary.  If two angles are
complementary, then  their sum is 90 degrees, so we can take your
two angles and write:

                       <u>x</u>  (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees

</u>
<u />                          x + 2x + 12  =  90<u>

</u>
Subtract 12 from each side:     x + 2x  =  78

Add the x's on the left side:        3x      =  78

Divide each side by  3 :                x      =  26 degrees

One angle is 'x'  =  <em>26 degrees</em>

The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
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Answer:

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Step-by-step explanation:

First, find the total number of graduates in the table, that number is 2610, that will be your numerator.

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Now divide the smaller number/numerator (2610) by the larger number/denominator (10730)

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7 0
3 years ago
What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
What are prime factors of 1000?
Ede4ka [16]

Answer:

1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000

Step-by-step explanation:

prime factorization is

1000=2*2*2*5*5*5

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2 years ago
Ana has 5 muffins but 8 friends coming over. How much will each friend get?
maw [93]

1.6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Factor the polynomial. 30xy+36x^2+30x+25y
zavuch27 [327]
30xy + 36x^2 + 30x + 25y

= 6x(5y + 6x) + 5(6x + 5y)

= (6x + 5)(6x + 5y)  Answer
7 0
3 years ago
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