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vlada-n [284]
3 years ago
11

Find the sum of the arithmetic series if a1=−52,a28=−79,and n=28

Mathematics
1 answer:
Radda [10]3 years ago
5 0
I think the answer is A but i could be wrong
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A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram,
Ahat [919]

Answer:

Trapezoid

Step-by-step explanation:

Given quadrilateral has vertices at points A(-2,-1), B(3,13), C(15,5) and D(13,-11).

Find slopes of lines AD and BC:

\text{Slope}_{AD}=\dfrac{y_D-y_A}{x_D-x_A}=\dfrac{-11-(-1)}{13-(-2)}=\dfrac{-11+1}{13+2}=\dfrac{-10}{15}=-\dfrac{2}{3}\\ \\\text{Slope}_{BC}=\dfrac{y_C-y_B}{x_C-x_B}=\dfrac{5-13}{15-3}=\dfrac{-8}{12}=-\dfrac{2}{3}

Since the slopes are the same, lines AD and BC are parallel.

Find slopes of lines ABD and CD:

\text{Slope}_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{13-(-1)}{3-(-2)}=\dfrac{14}{5}\\ \\\text{Slope}_{CD}=\dfrac{y_D-y_C}{x_D-x_C}=\dfrac{-11-5}{13-15}=\dfrac{-16}{-2}=8

Since the slopes are different, lines AB and CD are not parallel.

This means quadrilateral ABCD is trapezoid (two opposite sides - parallel and two another opposite sides - not parallel)

7 0
3 years ago
Please Help!!!
suter [353]
So, 1/3 of something is 21.

1/3 of x is not the full x: we know that the x is 21 and even more. So, it must be bigger than 21, since it has 21 and something else (and since 21 is not negative): the solution MUST be greater than 21.
7 0
3 years ago
What is the slope of this line? y=−1/3x+1/4 PLEASE HELP!!! i have to take a diagnostic test rn!!!
mojhsa [17]
Quick answer -1/3

Longer answer, so the slope intercept format is y=mx+b where m is the slope and b is the y intercept. Thus we just look where m is and in this case it is -1/3
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Which angle is congruent to angle 1?
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Angle 4 is congruent, D.
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