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kherson [118]
3 years ago
9

mercer middle school has 1400 students last year this year there are 1,120 students enrolled. Find the percent of change in the

number of students is this a percent increase or percent decrease
Mathematics
1 answer:
Olegator [25]3 years ago
5 0

20% decrease

1400 ÷ 100 = 14 (1% of the original)

1400 - 1120 = 280 (difference)

280 ÷14 = 20

it's a percentage decrease because the amount is smaller than the original

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Triangle CAT is transformed to produce triangle DOG.
PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

  • A reflection, then a translation.
  • A rotation, then a reflection.

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

  • Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
  • In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
  • A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
  • A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
  • In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.

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Thus, from the bullet points above, the correct options are:

  • A reflection, then a translation.
  • A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0
3 years ago
Evaluate -|p| when p = 19. PLS HELP
posledela

Answer:

-19

Step-by-step explanation:

|19|=19

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5 0
3 years ago
Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.
elixir [45]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

(n+2)^{2} = n^{2} + (n+1)^{2} (1)

Donde n es un número natural.

A continuación, expandimos la expresión y resolvemos:

n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1

n^{2}-2\cdot n -3 = 0

(n -3) \cdot (n+1) = 0

La única solución factible es n = 3. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

4 0
3 years ago
Help!! I will give pints and brainlest pls!!! <br><br> (No Decimals!)
son4ous [18]

Answer:

2: 0.65

Step-by-step explanation:

8 0
3 years ago
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Ronch [10]
Answer: 20x^3 - 23x^2 - 4x + 4

Explanation:

Use distributive property:

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8 0
3 years ago
Read 2 more answers
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