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3 years ago

Why would you change 4 gallons 5 quarts to 5 gallons 1 quart?

Mathematics

2 answers:

Romashka [77]3 years ago

7 0

You would change it because it is the simplest answer

WITCHER [35]3 years ago

6 0

Because 4 quarts is a gallon so if you have five it would be 5 gallon and 1 quart

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3 years ago

What else would need to be congruent to show that ABC = DEF by SAS?

Alona [7]

The answer us A.

Line AC needs to be congruent to DF because for SAS (side angle side) we have a side (BA and DE) and an angle (A and D) so we need another side.

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3 years ago

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Anettt [7]

Answer:

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Step-by-step explanation:

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2 years ago

Problem page the sum of two numbers is 67 and the difference is 11 . what are the numbers?

pav-90 [236]

Try this:
1. sum of numbers is x+y=67, the difference between them is x-y=11
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3 years ago

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

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3 years ago