Mathematics, 10.08.2021 18:10 onlymyworld27

9) Determine which sides, if any, of the figures are parallel, perpendicular, or neither. Rectangle BACD has coordinate B(-4,-3), A(-1, -7),C(3,-4), and D(0,0).

Answers: 1

Show answers

Answers

Answer from: angela563

Parallel: AC and DB, BA and CD

Perpendicular: AC and CD, DB and CD, DB and BA, BA and AC

Neither: None

Step-by-step explanation:

Step 1: Find Slopes

Let's first find the slopes of each side of the rectangle, as that will helps us determine which sides are parallel, perpendicular, or neither.

Recall that the formula for finding the slope between two points is $\frac{y_2 - y_1}{x_2-x_1}$ where (x_1, y_1) and (x_2,y_2) are the coordinates of the two points. To avoid confusion, I will be taking the first point I list as (x_1,y_1) and the second point as .

Slope of :

$\frac{-7-(-3)}{-1-(-4)}\\=\frac{-7+3}{-1+4} \\= -\frac{4}{3}$

Slope of :

$\frac{-4-(-7)}{3-(-1)} \\=\frac{-4+7}{3+1} \\=\frac{3}{4}$

Slope of :

$\frac{0-(-4)}{0-3} \\=\frac{4}{-3} \\=-\frac{4}{3}$

Slope of :

$\frac{-3-0}{-4-0} \\=\frac{-3}{-4} \\=\frac{3}{4}$

Step 2: Determine which sides are parallel, perpendicular, or neither

Now that we found the slopes of the sides, we can determine which sides are parallel, perpendicular, or neither.

Recall that parallel lines have the same slope. $\bf AC$ and $\bf DB$ , along with $\bf BA$ and $\bf CD$ , have the same slope, so they are parallel. No other pair of sides has the same slope, so these are our only parallel pairs.

For two lines to be perpendicular, the product of their slopes must be . $\bf AC$ and $\bf CD$ , $\bf DB$ and $\bf CD$ , $\bf DB$ and $\bf BA$ , and $\bf BA$ and $\bf AC$ $\bf$ meet that criteria, so they are perpendicular. No other pair of sides meets the criteria, so these are our only perpendicular pairs. Hope this helps!

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

Answer from: Quest

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

Another question on Mathematics

Mathematics, 21.06.2019 16:10

Convert 50 kilogram to pounds. (the conversion factor from kilogram to pound is 2.2046.) a. 52.2 lb. b. 110.2 lb. c. 22.6 lb. d. 47.8 lb.

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.

Answers: 3

Answer

Mathematics, 21.06.2019 21:30

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?

Answers: 3

Answer

Mathematics, 21.06.2019 22:30

Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. she randomly picks three coins. each time she picks a coin, she makes a note of it and puts it back into the piggy bank before picking the next coin.

Answers: 1

Answer

You know the right answer?

9) Determine which sides, if any, of the figures are parallel, perpendicular, or neither. Rectangle...

Questions

Mathematics, 06.11.2020 22:20

Mariana drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?...