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2 years ago

Which pair of lines are parallel? Need to show work

Mathematics

1 answer:

zaharov [31]2 years ago

7 0

Answer:

Step-by-step explanation:

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someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

Area of triangle ABD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

Area of triangle BCD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

2 years ago

A sample poll of 100 voters were chosen from a given district

Julli [10]

Answer:

5y345

Step-by-step explanation:

i did it before

6 0

2 years ago

There are 12 boys and 12 girls participating in a quiz competition. Find the probability that a boy will win this competition an

KengaRu [80]

1/2 it's a fifty fifty unless the guys are complete idiots

6 0

2 years ago

Read 2 more answers

5% commission rate of 14.98

Arisa [49]

Answer: If you mean 5% of $14.98, it is $0.75 75 cents

If you mean 14.98 represents a 5% commission on what sale amount

The sale amount was $299.60

Step-by-step explanation:

Change the percent to a decimal and multiply by the sale amount.

0.05 × 14.98 = .749 Round to .75

If 14.98 is the 5% commission, divide 14.98/.05= 299.60

7 0

3 years ago

Traci spent $45.20 in 5 hours of shopping at the mall. $___per hour

frutty [35]

So to find the hourly rate divide the amount spent by the amount of time.
In this case we divide 45.20 by 5
45.20/5=9.04

$9.04 per hour

4 0

3 years ago

Read 2 more answers