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agasfer [191]
3 years ago
13

A library charges a late return fee of $3.50 plus $0.15 per day that a book is returned late.

Mathematics
1 answer:
amid [387]3 years ago
8 0
$3.50 plus everyday is late so .50+.15 is $3.65
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Adrian knows that the quotient of 0.75 divided by 0.8 is less than 1. He knows that the quotient of 0.8 divided by 0.75 is great
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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
Students were asked to write 6x5 + 8x - 3x3 + 7x7 in standard form.
dimulka [17.4K]

Answer:

7x^{7} + 6x^{5} - 3x^{3} + 8x

Step-by-step explanation:

Students are asked to write 6x^{5} + 8x - 3x^{3} + 7x^{7} in the standard form.

Now, in the standard form of a polynomial the highest power of the variable takes the leftmost position and the lowest power of the variable takes the rightmost position and the power of variable decreases from left to right.

Therefore, the standard form will be 7x^{7} + 6x^{5} - 3x^{3} + 8x. (Answer)

3 0
2 years ago
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