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aalyn [17]
3 years ago
7

Decide whether JKLM is similar to NPRS. Explain your reasoning.

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

The sum of the angle measures in a quadrilateral is 360°. Using this fact, you can determine that the missing angle measures are ∠J = 95° and ∠P = 60°. So, the corresponding angles of the quadrilaterals are congruent. Also each side of the larger quadrilateral is 3 times as long as the corresponding side length of the smaller quadrilateral. So, the side lengths are proportional. Therefore, JKLM is similar to NPRS.

∠J = 360° - 140° -65° -60° = 95° = ∠N

... ⇒ ∠P = ∠K = 60°

Yanka [14]3 years ago
3 0
Yes similar because the sum of the angle is 360 how to know its 360 use the formula
(n-2) x 180 = so
(4-2) x 180 =360
angle for J (140+65+60+j)=360
j=95
angle for p(140+95+65+p)=360
p=60

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Aneli [31]
The length should be 80 feet.

This is because the width is 20, since there are two sides for the width in a pen, we have to add 20+20. This would equal 40. Then we need to subtract 40 from 200. 200-40 would be 160. Then since there are two sides for the length, we need to split that in half. 160÷2 would be 80. To double check, you can do 80+80 and that would still be 160. So the length of one side would be 80. But of course, this whole thing would only be right if the pen has four sides(but since i have seen many chicken pens, there were all rectangular). I hope this helped! :)
7 0
3 years ago
Select the correct answer.
Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}:It is the area of the base of the prism

h: It is the height

A_ {b} = w * l

Where:

w: is the width

l: is the length

According to the data of the statement we have:

w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3

Substituting the data we have:

A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\

We choose the positive value: h = 8

So the height is8 \ in

Answer:

8 \ in

6 0
3 years ago
Complete the similarity for the two triangles shown. <br><br> Triangle ABC
gizmo_the_mogwai [7]

Answer:

triangle EFD

Step-by-step explanation:

5 0
3 years ago
The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to r
kati45 [8]

The cost to rent each chair is $1.5 and cost to rent each table is $6.5

<h3>Applications of systems of linear equations </h3>

From the question, we are to determine the cost to rent each chair and each table

Let c represent chair

and

t represent table

From the given information,

The total cost to rent 5 chairs and 3 tables is $27

That is,

5c + 3t = 27 ------------ (1)

Also,

The total cost to rent 2 chairs and 12 tables is $81

That is,

2c + 12t = 81 ---------- (2)

Now, solve the equations simultaneously

5c + 3t = 27 ------------ (1)

2c + 12t = 81 ---------- (2)

Multiply equation (1) by 2 and multiply equation (2) by 5

2 × [5c + 3t = 27 ]

5 × [2c + 12t = 81 ]

10c + 6t = 54        ------------- (3)

10c + 60t = 405   ------------- (4)

Subtract equation (4) from equation (3)

10c + 6t = 54        

10c + 60t = 405

---------------------------

-54t = -351

t = -351/-54

t = 6.5

Substitute the value of t into equation (2)
2c + 12t = 81

2c + 12(6.5) = 81

2c + 78 = 81

2c = 81 - 78

2c = 3

c = 3/2

c = 1.5

∴ The cost of chair is $1.5 and cost of table is $6.5

Hence, the cost to rent each chair is $1.5 and cost to rent each table is $6.5

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

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Nimfa-mama [501]

Answer: -7 < x < 3

Step-by-step explanation:

-21 < 3x < 9

-7 < x < 3

8 0
2 years ago
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