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Alona [7]
2 years ago
9

What additional information could be used to prove that △ABC ~ △NML? Check all that apply. ∠B ≅ ∠M △ABC is a right triangle. △AB

C was rotated and dilated by a scale factor between 0 and 1. △ABC was translated right and down. ∠C ≅ ∠L
Mathematics
2 answers:
Elena L [17]2 years ago
7 0

Answer:

1,3,5

Step-by-step explanation:

Aleksandr-060686 [28]2 years ago
6 0

Answer:

1 , 3 and 5

Step-by-step explanation:

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Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are abou
wel

Answer:

5%

Step-by-step explanation:

Total 'halwa' made = 1

Divided into four equal portion = 1/4

Arrival of an unexpected guest = 1/5

By what percentage has each family member's share been reduced:

Change in the sharing proportion:

Previous share ratio - new sharing ratio

(1/4 - 1/5) = (5 - 4) / 20 = 1/20

That means total reduction in the sharing = 1/ 20

Since each member comes contributed equally:

Reduction in each family member's share ;

(1 / 20) ÷ 4

(1 / 20) * 1/4 = 1/ 80

Percentage reduction:

(Reduction / original share) * 100%

[(1/80) ÷ (1/4)] * 100

(1/80 * 4/1) * 100%

(1/20) * 100%

= 5%

Reduction in each family members share = 5%

3 0
2 years ago
Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
2 years ago
Jocelyn is considering taking out one of the two following loans. Loan H is a three-year loan with a principal of $5,650 and an
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<span>c.<span>Loan I's monthly payment will be $11.88 smaller than Loan H's.</span></span>
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2 years ago
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An overdraft balance occurs when the available balance in a bank account is below zero. Yvonne has an overdraft balance at the b
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The answer fam is .... The x-intercept represents Yvonne's account balance at the beginning of the year. This statement is False............The slope represents the amount Yvonne deposits to her account each week. This statement is True.........<span>Yvonne no longer has an overdraft balance 4 weeks after the beginning of the year. This statement is True</span>

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2 years ago
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The graph shows the amount of dirt left to remove, y, with respect to number of loads of dirt, x. Use the graph to complete each
Tema [17]

Part 1. When x=0, then y=900 (from the graph). This means that y-intercept is at point (0,900).

Answer Part 1: 900

Part 2. The y-intercept is at point (0,900). This means that at x=0 (loads), the total amount of dirt to remove is 900 cubic feet.

Answer Part 2: the total amount of dirt to remove.

7 0
2 years ago
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