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Phantasy [73]
3 years ago
14

How do I solve for #23​

Mathematics
2 answers:
Natalija [7]3 years ago
8 0

Answer:

137

43

Step-by-step explanation:

A straight line is another way of saying that the angle making the straight line always has 180 degrees. So the two angles in brown add up to 180 degrees.

6x + 20 + 2x + 4 = 180                Combine like terms on the left.

8x + 24 = 180                               Subtract 24 from both sides.

8x + 24-24 = 180-24

8x = 156                                        Divide both sides by 8

8x/8 = 156/8                                  Do the division

x = 19.5

The two angles are

6x + 20 = 6*19.5 + 20 = 117 + 20 = 137

2x + 4 = 2*19.5 + 4 = 39 + 4 =          43

These do add to 180

fomenos3 years ago
4 0

Answer:

m<RQS = 43 deg

m<TQS = 137 deg

Step-by-step explanation:

The measure of a straight angle is 180 deg.

The measures of angles RQS and TQS add up to 180 deg.

m<TQS + m<RQS = 180

6x + 20 + 2x + 4 = 180

8x + 24 = 180

8x = 156

x = 19.5

m<RQS = 2x + 4 = 2(19.5) + 4 = 43

m<TQS = 6x + 20 = 6(19.5) = 137

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What is the quotient (x^3+8)/(x+2)
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Answer:

Step-by-step explanation:

The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)

If the factor is x + 2 = 0, then the solution or the root is x = -2.  We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":

-2|   1    0    0    8

Bring down the first number and multiply it by the -2.  Put the product up under the first 0 and add:

-2|   1    0    0    8

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Now multiply the -2 by the -2, put the product up under the next 0 and add:

-2|   1    0    0    8

           -2    4

      1    -2    4

Now multiply the 4 by the -2, put the product up under the 8 and add:

-2|   1    0    0    8

           -2   4    -8

     1    -2   4    0

Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:

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Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.

There is a whole world of stuff to learn about quadratics!!

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3 years ago
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