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denis23 [38]
3 years ago
5

The sum of the measures of the interior angles of a convex pentagon

Mathematics
1 answer:
ipn [44]3 years ago
7 0

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

180(n)

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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
Complete the statement. Round to the nearest hundredth if necessary.<br><br> 40 oz = lb
lora16 [44]
40 oz= 2.5 lb

One pound (lb) =16 Ounces
40/16=2.5
8 0
3 years ago
Read 2 more answers
Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
MAXImum [283]

72 minutes

We require their hourly rate of work

Maria cleans \frac{1}{2} the house in 1 hour

Sasha cleans \frac{1}{3} of the house in 1 hour

let x be the time it takes both to clean the house

\frac{1}{2} + \frac{1}{3} = \frac{1}{x}

multiply through by 6x

3x + 2x = 6

5x = 6 ⇒ x = \frac{6}{5}

Together they can clean the house in 72 minutes






6 0
3 years ago
Number 2 is the problem i need help with
Reptile [31]

Answer:

2a) $180

2b) $1440

Step-by-step explanation:

2a) Basically Samuel works for 6 hours a day and earns 7.50 per hour, so you have to do 7.50 x 6 to see how much he earns per day (which in this case is $45). You then have to multiply $45 to 4 since he earns $45 per day and works 4 days per week (which is $180).

2b) After finding out how much he earns per week ($180 from the previous question), you then have to multiply $180 by 8 as $180 is the amount he earns per week and since he works for 8 weeks you have to multiply $180 by 8 (the answer is then $1440).

sorry if I'm not making sense, i tried :) good luck!

8 0
3 years ago
Read 2 more answers
Complete the statements to explain how to factor x2 x â€" 12 using algebra tiles. represent the trinomial using 1 positive x2-ti
olga55 [171]

Answer:

1 positive x-tile, 12 negative x-tiles, three, and (x -3) (x + 4) are the answers

Step-by-step explanation:

worked on edge 2022

5 0
1 year ago
Read 2 more answers
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