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3 years ago

12

Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2. If AB = 18, find EF.

2 answers:

nasty-shy [4]3 years ago

6 0

The answer is A. 12

do you want to know how I got my answer...

meriva3 years ago

5 0

Answer: 12

Step-by-step explanation: The correct answer is 12. This problem can be solved by setting up a proportion and cross multiplying.

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

<u>Step 1: Solve using the first point</u>

<em>(2, 28)</em>

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

<u>Step 2: Solve using the second point</u>

<em>(-1, -5)</em>

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

<u>Step 3: Solve using the third point</u>

<em>(4, 220)</em>

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

<u>Step 4: Solve using the fourth point</u>

<em>(-2, -20)</em>

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

<u>Step 5: Combine the first and fourth equations</u>

<u /> $28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

<u>Step 6: Solve for c in the second equation</u>

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

<u>Step 7: Substitute d with the stuff we got in step 5</u>

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

<u>Step 8: Substitute d and c into the first equation</u>

<u /> $28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

<u>Step 9: Substitute a, b, and c into the third equation</u>

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

<u>Step 10: Find a using b = 2</u>

$a = b + 1$

$a = (2) + 1$

$a = 3$

<u>Step 11: Find c using a = 3 and b = 2</u>

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

<u>Step 12: Find d using b = 2</u>

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

3 years ago

Read 2 more answers

Dima020 [189]

Answer:

1 is answer

Step-by-step explanation:

2*3/5*3___6/5

7 0

2 years ago

Helppp meee plssss

Volgvan

Answer:

Cost of fish = Php. 60, amount of fish = x kg
Cost of chicken = Php. 120, amount of chicken = y kg
Budget = at most Php. 1200

a) <u>Required inequality (not a system as only one condition is given):</u>

60x + 120y ≤ 1200

<u>Simplified:</u>

x + 2y ≤ 20

<em>The graph is attached</em>

b) <u>Verify ordered pair (10, 7):</u>

10 + 2*7 ≤ 20
24 ≤ 20

False inequality, so this pair is out of solution set

8 0

3 years ago

the stemplot below represents the distribution of the test scores for the final exam in a high school algebra course. what was t

Deffense [45]

Answer:

<u><em></em></u>

<u><em>Option A. 94</em></u>

Explanation:

The column of digits to the left (before the vertical line) contains the largest place-value digits.

Here is how you read the values:

First row: 65

Second row: 73, 74, 78

Third row: 80, 80, 81, 82, 85, 88, 89

Fourth row: 92, 93, 94.

Thus, the highest score received is 94.

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3 years ago

Find The surface area of the cylinder. round your answer to the nearest tenth

trasher [3.6K]

Answer:

791.7

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6 0

3 years ago