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Oksanka [162]
3 years ago
10

The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of t

he rectangle, in inches?
Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer: 7.5"

Step-by-step explanation:

First, take away the extra 5" on the longer side lengths

40-5-5=30

Then divide by 4 to get the width

30/4=7.5

This works because if you took the 7.5" and added back the 5 inches, it makes 12.5. Then add all 4 sides together, you get 40.

7.5+7.5+12.5+12.5=

alisha [4.7K]3 years ago
4 0

Answer:

W = 7.5 in

Step-by-step explanation:

We'll use the formula for the perimeter of a rectangle:  P = 2W + 2L.

Here, L = W + 5, so P = 2W + 2L becomes:

P = 2W + 2(W + 5), and this equals 40 in.

Thus we have the equation in W (the desired variable) as follows:

2W + 2(W + 5) = 40 in, or 4W + 10 = 40.

Then 4W = 30, and W = 7.5 in.

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16р* +4p<br> greatest common factor
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Answer:

4

Step-by-step explanation:

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3 years ago
Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression show
Alla [95]
The answer is B, because you will have to multiple 42 by 7 to see how much money he will have in 7 weeks and then you will have to subtract 8 × 8.25 to see how much money he spent on his vacation.
5 0
3 years ago
2/5 as a whole number
ANTONII [103]
.4 is your answer....................                                                                       
5 0
3 years ago
Read 2 more answers
1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
5 0
3 years ago
At Adam's Hats, there are 52 baseball caps and 13 other hats. What percentage of the hats are baseball caps?
Solnce55 [7]

Total hats = 52 + 13 = 65

Percentage that are baseball = number of baseball/ total hats x 100.

52/65 = 0.8 x 100 = 80%

80% are baseball hats

3 0
2 years ago
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