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pshichka [43]
3 years ago
14

An angle measures 53°. What are the measures of the angle’s complement and supplement? A. complement, 37°; supplement, 137° B. c

omplement, 127°; supplement, 47° C. complement, 37°; supplement, 127° D. complement, 127°; supplement, 37°
Mathematics
1 answer:
inysia [295]3 years ago
5 0

complement = 37  supplement = 127

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Match the polynomial expression on the left with the simplified version on the right.
Vitek1552 [10]

Given the following question:

First expression:

\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}

Second expression:

3 0
1 year ago
Can someone help me find x of this type of triangle
Dahasolnce [82]

Answer:

Step-by-step explanation:

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

(2x+4) + (2x-2) + (x-2) = 180

5x = 180

x = 36°

3 0
3 years ago
What is the answer to -7(k+9)=9(k-5)-14k
laiz [17]
The answer to <span>-7(k+9)=9(k-5)-14k is 
k = -9


</span>-7(k+9)=9(k-5)-14k
Use the distributive property to distribute the -7 to (k+9) and 9 to (k-5)
-7(k+9)=9(k-5)-14k
-7k - 63 = 9k - 45 - 14k
Now lets get all our constants on one side of the equal sign and all our terms such as 9k and 4k on a side by their self
-7k - 63 = 9k - 45 - 14k
-7k - 63 + 45 = 9k - 45 + 45 - 14k
-7k - 18 = 9k - 14k
Now lets get that -7k on the right side
-7k + 7k - 18 = 9k - 14k + 7k
-18 = 9k - 14k + 7k
Now lets do the math for 9k - 14k + 7k and solve for k
-18 = 9k - 14k + 7k
-18 = 2k
-18 / 2 = 2k / 2
-9 = k
k = -9

8 0
3 years ago
If r1 and r2 are the roots of the quadratic equation ax+bx+c=0 show that r1+r2=-b/and r1r2=c/a
velikii [3]
x_{1,2} =  \frac{-b+-  \sqrt{ b^{2} -4ac} }{2a}

is the formula for calculating x1 and x2

To prove x1 + x2 = -b/a all we need to do is to express x1 and x2 from equation above

once we do we will get -2b/2a which is equal to -b/a because square root part will negate each other. one has + sign in front and other - sign

Showing that x1x2 = c/a goes similar way.
the numerator parts is actually difference of squares. after that we will have:
-b^2 -b^2 + 4ac = 4ac

in denominator we have 2a*2a = 4a^2
4ac/4aa = c/a
4 0
3 years ago
1/4 + 4/6 (Simplify)
Temka [501]

Answer:

\frac{11}{12}

Step-by-step explanation:

\frac{1}{4} + \frac{4}{6} =

\frac{3}{12} + \frac{8}{12} =

\frac{11}{12}

Hope this helped! <3

7 0
3 years ago
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