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I don't like dividing polynomials so I'm going to set x=1 and try them out.
(1-2-14+3)/4 = -3
Of the choices, only D gives -3 when x=1
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That's as much test-taking as math. If we were to divide
x^2 - 5x + 1
-------------------------------
x + 3 | x^3 - 2x^2 - 14x + 3
x^3 + 3x^2
-5x^2 - 14x
5x^2 + 15x
x + 3
x + 3
More work, still choice D
Answer:
One Angle = 110°
Other Angle = 70°
Step-by-step explanation:
A linear pair means that two angles are in a straight line (or, a straight angle).
A straight line is 180 degrees.
THey are supplementary.
We can say one angle is "a" and another one is "b".
<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>
<em>
</em>
<em />
<em>Also, since they are supplementary (add up to 180), we can write:</em>
<em>a + b = 180</em>
<em />
We can now substitute 1st equation in this one and find b:
![a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110](https://tex.z-dn.net/?f=a%2Bb%3D180%5C%5C%28%5Cfrac%7B2%7D%7B3%7Db%2B10%29%2Bb%3D180%5C%5C%5Cfrac%7B2%7D%7B3%7Db%2Bb%3D180-10%5C%5C%5Cfrac%7B5%7D%7B3%7Db%3D170%5C%5Cb%3D%5Cfrac%7B170%7D%7B%5Cfrac%7B5%7D%7B3%7D%7D%5C%5Cb%3D170%2A%5Cfrac%7B3%7D%7B5%7D%5C%5Cb%3D110)
Since a + b = 180, we can write:
a + 110 = 180
so,
a = 180 - 110
a = 70
Thus,
One Angle = 110°
Other Angle = 70°
Answer:
d. none of these
Step-by-step explanation:
The greatest common factor (or GCF) is, as the name says, the greatest factor a set of numbers have in common. We can find this by listing out all the possible factors (multiples) of each number:
For 28:
<u>1</u>, <u>2</u>, 4, <u>7</u>, 14, 28
For 42
<u>1</u>, <u>2</u>, 3, 6, <u>7</u>, 21, 42
<em>(note you don't need to list out all the factors, I just did it for visual purposes)</em>
As you can see, 28 and 42 have 3 factors in common, with 7 being the greatest.
Therefore, the answer would be C: the GCF is 7.
<em>Hope this helps! :)</em>