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3 years ago

△ABC is mapped to △A′B′C′ using each of the given rules.

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

Answer:

(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.

Step-by-step explanation:

The types of translations that result in congruent images are translations or slides; reflections; and rotations.

Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.

Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.

The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1. These change the size of the figure, which is why they are not congruent.

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the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5) = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5 = 56

4x + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

= 16.5 in

3 0

2 years ago

Alina [70]

If you follow the order of pemdas the answer would be (-24)

4 0

3 years ago

Which graph correctly represents 5/2x-y< 3

kompoz [17]

5/2x - y < 3
Add y
5/2x < 3 + y
Subtract 3
5/2x - 3 < y
y > 5/2x - 3
Graph "5/2x - 3" and shade the area that is above it

5 0

3 years ago

Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 20

m_a_m_a [10]

Answer:

$\text{Net accrual income}=\$31,600$

Step-by-step explanation:

We have been given that Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 2018. In addition, Marigold performed services worth $39,000 in 2019, which will not be collected until 2020.

Let us find revenue earned in 2019 by subtracting revenue earned from 2018 and adding revenue earned in 2019 to total revenue as:

$\text{Revenue in 2019}=\$104,000-\$24,400+\$39,000$

$\text{Revenue in 2019}=\$118,600$

Marigold Industries also paid $73,900 for expenses in 2019. Of the amount paid, $29,100 was for expenses incurred on account in 2018. In addition, Marigold incurred $42,200 of expenses in 2019, which will not be paid until 2020.

Now, we will find expenses in 2019 by subtracting expenses in 2018 and adding expenses in 2019 to total expenses as:

$\text{Expenses in 2019}=\$73,900-\$29,100+\$42,200$