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Irina-Kira [14]
2 years ago
15

How do you find the length of the indicated side.

Mathematics
1 answer:
inessss [21]2 years ago
4 0

Answer:

7x+4

Step-by-step explanation:

We have a rectangle

The perimeter is 18x+4

We know the formula for perimeter is

P =2 (l+w)

We know the width is 2x-2

18x+4 = 2 (l+2x-2)

Divide each side by 2

(18x+4)/2 = 2 (l+2x-2)/2

9x+2 =  (l+2x-2)

Subtraxt 2x from each side

9x-2x +2 = l +2x-2-2x

7x+2 = l-2

Add 2 to each side

7x+2+2 = l-2+2

7x+4 = l

The unknown side is

7x+4

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Garth has x books which is 20 more books than Henrietta has. If Garth gives Henrietta 7 books how many books does Henrietta now
hammer [34]

Answer:

she should have x-27 books left

Step-by-step explanation:

7 0
2 years ago
A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi
Butoxors [25]

Answer:

Area = 4x^2 - 14x + 10

Step-by-step explanation:

<em>See Attachment for Complete Question</em>

Given

Width = 5mi --- For the forest

Length = 2mi -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

Width = 5 - (x + x)

Width = 5 - 2x

Height = 2 - (x +x)

Height = 2 - 2x

The area is then calculated as follows;

Area = Width * Height

Area = (5 - 2x) * (2 - 2x)

Expand

Area = 5(2 - 2x) -2x(2 - 2x)

Open Brackets

Area = 10 - 10x - 4x + 4x^2

Area = 10 - 14x + 4x^2

Reorder

Area = 4x^2 - 14x + 10

Hence; the required polynomial for the habitat area is:

Area = 4x^2 - 14x + 10

3 0
2 years ago
What’s the angle it’s looking for ?
Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))

$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)

$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)

Multiply by 2 on both sides, we get

$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)

$\Rightarrow 4x+90=2x + 90

Subtract 90 from both sides.

$\Rightarrow 4x+90-90=2x + 90-90

$\Rightarrow 4x=2x

Subtract 2x from both sides.

$\Rightarrow 4x-2x=2x-2x

$\Rightarrow 2x=0

$\Rightarrow x=0

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

              = 2(0) + 45

              = 45

Therefore m∠NMK = 45.

8 0
2 years ago
The table shows the dimensions and the numbers of blades of grass on four rectangular pieces of sod. Select and drag the pieces
sveta [45]

Answer:

i think it is d,a,c,b

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the midpoint of the segment shown below?<br> (-12,-3) (3,-8)
shepuryov [24]

Answer:

D

Step-by-step explanation:

In order to find the midpoint of a line segment on a graph, you must add both "x" coordinates, then divide by 2.

Then, add both "y" coordinates, and divide by 2.

5 0
2 years ago
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