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Rus_ich [418]
3 years ago
9

Consider the diagram.

Mathematics
2 answers:
damaskus [11]3 years ago
7 0
Side Side Side is the answer
elena-14-01-66 [18.8K]3 years ago
3 0

We have been given an diagram and we are asked to find the congruence theorem that can be used to prove △LON ≅ △LMN.

We can see from our diagram that side LO of △LON equals to side LM of △LMN. We can also see that side ON △LON of equals to side MN of △LMN. Side LN equals to itself.

We can see that three sides of triangle LON are congruent to three sides of triangle LMN. Therefore, by SSS (Side-Side-Side) congruence △LON ≅ △LMN.

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What number is 24% of 80?
almond37 [142]
24% of 80 is 19.2

120% of 70 is 84

20% of 150 is 30

0.8% of 150 is 1.2

120% of 85 is 102
3 0
3 years ago
Read 2 more answers
Write a system of inequalities using the given graph
ziro4ka [17]

For dark line

  • (0,1)
  • (-1,-4)

Slope

  • m=-4-1/-1=5

Equation in point slope form

  • y-1=5x
  • y=5x+1

Put (0,0)

  • 0<1

As line is dark sign is ≤

The inequality

  • y≤5x+1

For dashed line

  • (2,0)
  • (0,-2)

Equation in intercept form

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  • y=x-2

Put (0,0)

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Symbol is >

Inequality is

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7 0
2 years ago
Hwo do i put this sentence into mathematical way. "The difference of a number and eighty is equivalent to the sum of double the
UNO [17]
I think it would be something like this: x-80 = (x*2)+12
7 0
3 years ago
Graph the line with slope 2 passing through the point (1, -3).
Pepsi [2]

Answer:

2x-5=y

I'm not sure how your graphing tool works so I'll give you five or so coordinates

(-1,-7)

(1,-3)

(0,-5)

(2,-1)

(-2,-9)

Step-by-step explanation:

You first need to write an equation that you can graph

Knowing that the slope is two we can write the following equation

2x+b=y

We also know that when x=1 y=-3

This gives us 2*1+b=-3

which means that 2+b=-3

subtract 2 from both sides to figure out the b=-3

This means that the line you have to graph is 2x-5=y

4 0
3 years ago
a cardboard box holds 31.25 cubic inches of creamy butter. The butter is molded into a square prism that is 5 inches long. How m
lesya [120]

Answer:

62.5 \:in^2

Step-by-step explanation:

Volume of the butter in the cardboard = 31.25 cubic inches

Length of the Molded Square Prism =5 Inches

Let the length of the square cross sectional area = x

Volume of the Prism=x^2l

Since l=5 Inches

5x^2=31.25\\x^2=6.25\\x=2.5\: Inches

Next, we determine the surface area of the New Cardboard box to be made.

Length of the Cardboard Box=5 Inches

Length of the square cross sectional area = 2.5 Inches

Total Surface Area=2(x^2+xl+xl)=2(x^2+2xl)

=2(2.5^2+2(2.5)(5))\\=2(6.25+25)\\=2*31.25\\=62.5 \:in^2

Therefore, 62.5 \:in^2 of cardboard is needed,

4 0
3 years ago
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