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adoni [48]
3 years ago
5

Given AABC ~ AFDE, what are the values of r and y?

Mathematics
1 answer:
mina [271]3 years ago
4 0

9514 1404 393

Answer:

  x = 4

  y = 2

Step-by-step explanation:

The triangles being similar means the side ratios are the same.

  AB/FD = BC/DE   and   AB/FD = CA/EF

  12/3 = (3x+8)/5   and   12/3 = 28/(y+5)

Multiplying by 5, the first equation becomes ...

  20 = 3x +8

  12 = 3x . . . . . . subtract 8

  4 = x . . . . . . . . divide by 3

__

Multiplying by (y+5)/4, the second equation becomes ...

  y +5 = 28/4

  y = 2 . . . . . . . . subtract 5

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Paid $1,000 in interest on a loan of $10,000 for a
Lorico [155]

Answer:

R = 2 % per annum.

Step-by-step explanation:

SI = (P*T*R) /100

$1000 = ($10000 * 5 yrs *Rate) /100

4 0
3 years ago
Paula has $54. She bought some pencils, each costing $0.75, and a paper ream for $2.50. She is left with $42.50 after buying pen
8090 [49]

Answer:

12 pencils

Step-by-step explanation:

let no. of pencils bought be x.

54 - 0.75x - 2.50 = 42.50

9 = 0.75x

x = 12

Topic: algebraic equations

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

7 0
3 years ago
Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.
dimaraw [331]

Answer:

The Spotted Cows delivery service has a greater rate of change.

Explanation

The Spotted Cows function is: y = 2.8x + 2

Dairy Farms function is: y = 2.1x + 10

I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.

Hope this helps!

6 0
3 years ago
A game costs x dollars. You have 60% of the total price saved. Write an expression that represents the amount of money you have
nadya68 [22]

Answer:

قیمت یک بازی x دلار است. شما 60٪ از کل قیمت پس انداز شده دارید. عبارتی بنویسید که نشان دهنده میزان پولی است که پس انداز کرده اید؟

60/x

6 0
3 years ago
What is 20% of $20.00
Oduvanchick [21]

Answer:

4

Step-by-step explanation:

20%=0.2

0.2 times 20 will give you the answer 4

7 0
3 years ago
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