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Nata [24]
3 years ago
11

calculate the scale factor of abc to def enter answer as a whole number or as a fraction into lowest terms

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

Answer:

Scale is 1/6

Step-by-step explanation:

Since all sides and angles are identical these are congruent triangles

3 ways to solve:

Scale Factor = DE / AB = 12/72 = 1/6

Scale Factor = DF/AC = 7/42 = 1/6

Scale Factor = EF/CB = 11/66 = 1/6

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A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0
3 years ago
What is the equation of the points (-3,2) (2,-1) in standard form? 
Evgen [1.6K]
You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?
3 0
3 years ago
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
vlada-n [284]

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Using the formula :

S = 20,000 (1 + 0.08)^y to estimate ;

S = number of subscribers ; y = years

The expression : (1 + 0.08)^y

0.08 = 0.08 * 100% = 8%

(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year

4 0
3 years ago
The original selling price for a dress was D dollars. If the selling price is increased 30%. After that the price dropped 15%. W
hodyreva [135]
15% increase
15/100xD
D=100/15
D=6.67
D+6.67
6 0
3 years ago
C equal 3x - 2 of x=5 than what does c equal
Sonbull [250]

Answer:

i need help this too

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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