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Ronch [10]
3 years ago
7

Subtract. Susan began a trip with 18 1/2 gallons of gas in the gas tank of her car. If she used 17 3/4 gallons on the trip, how

many gallons did she have left when she finished the trip?
a 1 1/4 gallons
b 1 3/4 gallons
c 1/2 gallons
d 3/4 gallons
Mathematics
2 answers:
Gemiola [76]3 years ago
8 0
D. 18.5 minus 17.75 is .75
cestrela7 [59]3 years ago
6 0

Answer:

Option (d) \frac{3}{4} gallon is correct.

Step-by-step explanation:

Amount of gas present in the gas tank when she began the trip is 18\frac{1}{2} =\frac{37}{2} gallons.

Amount of gas she used in the trip is 17\frac{3}{4} =\frac{71}{4} gallons

Now, in order to find the amount gas she has left when she finished the trip, we need to subtract the amount of gas used during the trip from the gas present in the gas tank at the begining.

So, the amount of gas she have left is \frac{37}{2} -\frac{71}{4}

=\frac{74-71}{4}

=\frac{3}{4}

Hence, she left with \frac{3}{4} gallon of gas.

So, option D is correct.

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In triangle abc shown below side ab is 6 and side ac is 4
kaheart [24]

Question is Incomplete, Complete question is given below:

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

Answer

Segment AD is 3 and segment AE is 2.

Segment AD is 3 and segment AE is 4.

Segment AD is 12 and segment AE is 4.

Segment AD is 12 and segment AE is 8.

Answer:

Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given:

side AB = 6

side AC = 4

Now we need to prove  that segment DE is parallel to segment BC and half its length.

Solution:

Now AD + DB = AB also AE + EC = AC

DB = AB - AD also EC = AC - AE

Now we take first option Segment AD is 3 and segment AE is 2.

Substituting we get;

DB = 6-3 = 3 also EC = 4-2 =2

From above we can say that;

AD = DB and EC = AE

So we can say that segment DE bisects Segment AB and AC equally.

Hence From Midpoint theorem which states that;

"The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side."

Hence Proved.

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