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Artyom0805 [142]
3 years ago
13

Which property best justifies why the two expressions below are equivalent? 3(m + 5) = 3m + 15

Mathematics
2 answers:
fgiga [73]3 years ago
8 0
Distributive property
malfutka [58]3 years ago
4 0
The distribution property is the best justification.
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80% of the students in Lea’s class earned an A or a B on the weekly math test. If 20 students got an A or a B, how many students
Anna35 [415]

Answer:

80 ÷ 4 = 20, so 100 ÷ 4 = 25 students

Step-by-step explanation:

Is means equals to  and of means multiply

20 = 80% * N

20 = .80 N

Divide each side by .8

20 / .8 = N

25 = N

there are 25 students

6 0
3 years ago
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Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py
Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. c^2=a^2+b^2

Here, a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

Substitute the values,

(x^2+1)^2=(x^2-1)^2+(2x)^2

x^4+1+2x^2=x^4+1-2x^2+4x^2

x^4+1+2x^2=x^4+1+2x^2

LHS=RHS

It is a right triangle.

7 0
3 years ago
Timothy draws three isosceles triangles. In each figure, he measures a pair of angles.
Nookie1986 [14]

Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."

Step-by-step explanation:

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2 years ago
Cual es el resultado de la operacion algebraica: 25x+12x+31x-8x+5x
Tema [17]

Answer:

65x

Step-by-step explanation:

Observe que estos son terminos similares... por lo que podemos simplemente sumarlos y restarlos. Entonces obtenemos:

25x + 12x + 31x - 8x + 5x

= 37x + 31x - 8x + 5x

= 68x - 8x + 5x

= 60x + 5x

= 65x

7 0
3 years ago
Find the inverse of each function. h ( n ) = 4/n − 2
Darina [25.2K]

4(x + 2) = {h(n)}^{- 1}
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3 years ago
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