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PIT_PIT [208]
3 years ago
14

Use algebraic rules to show that n(n+1)+2n +2 is equivalent to (n+1)(n+2)

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

This question is asking us to solve both of these equations, so let's do exactly that!

First equation:

n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2

Second Equation:

(n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2

Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).

Hope that helped! :)

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Which statements are true? select two options. δabc is-congruent-to δbxc δaxc ~ δcxb δbcx is-congruent-to δacx δacb ~ δaxc δcxa
aliina [53]

Based on the properties of similar triangles, the two true statements are:

  1. ΔAXC ≅ ΔCXB.
  2. ΔACB ≅ ΔAXC.

<h3>The properties of similar triangles.</h3>

In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the properties of similar triangles, we have the following points:

  • ∠A in ΔAXC matches ∠A in ΔABC and ∠C in ΔCXB.
  • ∠C in ΔAXC matches ∠B in ΔABC and ∠B in ΔCXB.
  • ∠X in ΔAXC matches ∠C in ΔABC and ∠X in ΔCXB.

In this scenario, we can can logically deduce that the two true statements are:

  1. ΔAXC is congruent to ΔCXB (ΔAXC ≅ ΔCXB).
  2. ΔACB is congruent to ΔAXC (ΔACB ≅ ΔAXC).

Read more on similar triangles here: brainly.com/question/7411945

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4 0
2 years ago
If u = 4 inches, v = 5, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object
Vlad [161]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Lingjin drove from los angeles to ventura during rush hour at an average speed of 4545 miles per hour, and then drove back the s
Softa [21]
45mph times x hours one way
30mph times y hours back
x+y=3 hours 15 minutes

45mph(x)=z miles
30mph(y)=smiles
so
45x = 30y \\ x =  \frac{30}{45} y \\ x  =  \frac{2}{3} y
and substituting we know 15 minutes is 1/4 an hour so we have
x +  y = 3.25 \\  \frac{2}{3} y + y = 3.25 \\  \frac{5}{3} y =  \frac{13}{4}  \\ y =  \frac{13}{4} ( \frac{3}{5} ) \\ y =  \frac{39}{20}
so 1.95 is how long they were going 30mph
1.95hours time 30mph is 58.5 miles.
so that is the distance. check by putting in y and solving for x. multiply x by 45 and you should get the same distance
3 0
3 years ago
The next 10 months Colin wants to save $900 for his vacation he plans to save $75 each of the first eight months how much must h
Makovka662 [10]
$300 because 300x2=600 then 75x8=300 and 600+300=900
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4 years ago
I NEED HELP WITH THIS PLEASEE
Rudik [331]

Answer:

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Step-by-step explanation:

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