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Degger [83]
3 years ago
12

The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
7 0

Option D is the correct answer.

Explanation:

As given, if the car is returned with a fuel level below the mentioned level, it will be completely re-fueled and the cost will be added to Tim's total bill.

As, the fuel needed to fill the car is 11.75 gallons and cost of a gallon is $4.50, so total cost becomes

= 11.75\times4.50=52.875

And the cost of re fueling is $5, so total cost becomes = 52.875+5=57.875 ≈ $57.88

So, total cost is $57.88 (option D)

vitfil [10]3 years ago
4 0

Answer:

b.   $31.44

Step-by-step explanation:

The tank holds 11.75 gallons.  Tim will need to get half of this amount to bring the tank back up to half full; this is

11.75/2 = 5.875

The gas costs $4.50 per gallon; this means the cost is

5.875(4.50) = 26.4375 ≈ 26.44.

There is also a $5 refueling charge; this makes the total cost

26.44+5 = 31.44

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38.88

Step-by-step explanation:

72% of 54

= \frac{72}{100} × 54

= 0.72 × 54

= 38.88

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Helen draws three parallelograms. In each figure, she measures a pair of angles, as shown.
kakasveta [241]

Answer:

<em>D. In a parallelogram, opposite angles are congruent.</em>

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In each case, she measures two opposite angles, and they are congruent.

D. In a parallelogram, opposite angles are congruent.

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3 years ago
ABCDE is a regular pentagon.
LiRa [457]

Part (A)

We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72

Each interior angle is therefore 180-E = 180-72 = 108 degrees.

---------------

Alternatively, you could use the formula below with n = 5

i = interior angle

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

---------------

<h3>Answer: 108 degrees</h3>

====================================================

Part (B)

We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.

Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.

So far we found

angle EDF = 38

angle DEF = 23

Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.

So,

x+y+z = 180

38+23+z = 180

61+z = 180

x = 180-61

x = 119

Interior angle DFE is 119 degrees.

Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.

So we subtract the value of x from 360

360-x = 360-119 = 241

This is the reflex angle DFE

---------------

<h3>Answer: 241 degrees</h3>
8 0
3 years ago
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