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Mumz [18]
3 years ago
5

Find the length of the side of the square.

Mathematics
1 answer:
nignag [31]3 years ago
6 0

6x-1=4x+6

subtracting  4x from each side

2x-1=6

adding 1 to each side

2x=7

divide by 2

x=7/2 or 3.5


check:  6(7/2) -1 =4(7/2)+6

           21-1 =14+6

20=20  correct

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The diagram below shows the rectangle PLUM.
Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = \frac{36}{8}

AM = 4.5 units

Area of PLM = \frac{1}{2}(\text{Base})(\text{height})

                     = \frac{1}{2}(ML)(AP)

                     = \frac{1}{2}(8 + 4.5)(6)

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0
3 years ago
Wetting the cloth cover of your canteen on a hot day is a good or bad idea
Lyrx [107]
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8 0
3 years ago
Read 2 more answers
The point (-3, 2) lies on a circle. What is the length of the radius of the circle if the center is located at (-1, 5)?
enot [183]

Answer:

R: √(13)

Step-by-step explanation:

Distance formula:

r^2 = (x-h)^2 + (y-k)^2

Center: (h,k)=(-1,5)

Circle: all points of (x,y)=(-3,2)

r^2=(-3+1)^2 + (2-5)^2

r^2=(-2)^2 + (-3)^2

r^2= 4 + 9

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Answer:

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Step-by-step explanation:

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\frac{50 + 30 + 100 + 25 + 40}{5}

= \frac{245}{5}

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So, the average time per day is 49 minutes.

Hope this helped! :)

3 0
3 years ago
Sal is trying to determine how much fabric he will need to create the kite diagrammed below.
nikdorinn [45]

Answer:

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Step-by-step explanation:

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