Use the side-splitter theorem to solve for x in the triangle below. 21 42
1 answer:
x = 8
Solution:
Side-splitter theorem:
<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>
Do cross multiplication, we get
⇒ 4 × 42 = 21x
Divide by 21 on both sides, we get
⇒ 4 × 2 = x
⇒ 8 = x
Switch the sides.
⇒ x = 8
The value of x is 8.
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Answer:
Please find a visual representation of the scenario generated with MS Excel
Step-by-step explanation:
The given data on how Kylo fills up the bathtub with water are;
The time it takes to fill the bathtub with 50 gallons of water = 15 minutes
The time it takes to drain 30 gallons from the bathtub = 5 minutes
The time it takes to add 5 gallons of hot water = 2 minutes
The time it takes for all the water to drain out = 4 minutes
The given scenario can be represented visually on the coordinate plane, as follows;
The y-axis represents the amount of water in the bathtub in gallons
The x-axis represents the time from the when Kylo begins to fill the bathtub
The coordinates of points in the visual representation of the given scenario are therefore;
At the start, the bathtub is empty;
y = 0, x = 0
Then we have;
Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario
