The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?\WILL GIVE BRAINLIEST
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Answers

Answer 1
Answer:

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers =  x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

Answer 2
Answer:

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers =  x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

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John bought an odd shaped lot that was 100 feet deep, but the front footage was 160 feet and the length of the back side of the lot was 80 feet what is the square footage of his lot?

Answers

Answer:

12000 ft^(2)

Step-by-step explanation:

The lot has the shape of a trapezoid.  This means that the area can be find using the formula:

Area= ((B_(1)+B_(2))/(2))h

Where B_(1) and B_(2) are the two paralle sides (in this case the front side of 160 feet and, the back side of 80) and, h is the height (the deep of 100 feet). So :

Area= ((160+80)/(2))*100

Area= 12000 square feet.

This lot has the shape of a trapezoid. Regard the 2 different lengths as 160' and 80' and the width 100'


Applying the formula for the area of a trapezoid:


80' + 160'

A = ----------------- * 100' = 24000 ft^3

2

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 mph. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 mph. How many hours did it take the first plane to travel to the destination?Let x represent the number of hours that the first plane traveled.
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.

Answers

First plane: 496x
Second plane:  558( x - 1/2) 

Equation: 496x = 558( x - 1/2) 

Solving  x = 9/2 ,  or  x = 4.5 hours.

Hope this helps.

Jenna got 12,or 3/5, of her answers on the test right. How many questions were on the test?

Answers

20 because you set it up as a proportion. 3/5 12/? multiply 12 and 5 then divide by 3 to get 20

Shanna attends school for 1 week longer than 3/4 of the year. How many weeks in a year dies Shanna attend school ?

Answers

Answer:

40 weeks

Step-by-step explanation:

We must find the relationship between weeks and years. Given that 52 weeks make a year, it means that 3/4 of the year would be equivalent to

= 3/4 * 52 weeks

= 39 weeks

Since we know that Shanna attends school for 1 week longer than 3/4 of the year, it means she added school for 1 week more than 39 weeks. The number of weeks she attended school is thus

= 39 +1

= 40 weeks

3/4 of a year consist of three months per quarter

so 3/4 of a year is 9 months

each month have 4 weeks

multiply 9x4 to get 36, which is the number of weks there is in 3/4 of a year 
now add one week since Shanna attended one week longer 

and now you get 37 weeks Shanna attended school

Find the coordinates of the other endpoint of the segment, given midpoint(-9,-11) &endpoint(-6,-8).

Answers

Answer:

((-6 + x)/2, (-8 + y)/2) = (-9, -11)

(-6 + x)/2 = -9 (-8 + y)/2 = -11

-6 + x = -18 -8 + y = -22

x = -12 y = -14

The other endpoint is (-12, -14).

Factor the polynomial below.

Answers

Answer:

option-A

Step-by-step explanation:

we are given

6b^2+3b

we can factor each terms

and then we can take common terms among them

6b^2=2* 3* b* b

3b=1* 3* b

we can replace it

and we get

6b^2+3b=2* 3* b* b +1* 3* b

now, we can take out common terms

we can see that common terms are 3 and b

6b^2+3b=3b(2* b+1)

we can simplify it

6b^2+3b=3b(2b+1)

Answer:

Its A.

Step-by-step explanation:

6b^2 + 3b.

The GCF is 3b so we divide this into the expression giving the factors:-

3b(2b + 1)  (answer).