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Ainat [17]
3 years ago
11

Lou​'s car had 5.1 gallons in the 13​-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost ​$3.70

per gallon. How much did Lou spend on​ gas?
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

$29.23

Step-by-step explanation:

Lou's car had a tank of capacity 13 gallons which were 5.1 gallons filled on the coldest day of the year.

So, the remaining unfilled capacity of the tank is (13- 5.1) =7.9 gallons.

Now, this volume of the tank is to be filled with gas that costs $3.70 per gallons.

Therefore, Lou has to spend (7.9 × 3.70) = $29.23 on gas. (Answer)

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23 ÷ 7 = 3.2857

23 ÷ 11 = 2.0909

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23 ÷ 23 = 1

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40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order
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2^2x3x5

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3 years ago
PLEASSEEE HELP AS FAST AS YOU CAN!!! I put the picture. 10 points!!
iogann1982 [59]

Answer:

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Step-by-step explanation:

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3 years ago
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murzikaleks [220]
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7 0
3 years ago
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Find the measure of angle 1
Lubov Fominskaja [6]
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

Angle DHF + Angle DHG = 180°

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Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

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The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.

Solution: 25°
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