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.
Answer:
240 - 5x and the candle will be at 0 mm in 48 seconds
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
A 240 mm candle is burning and shrinks in height 5mm per second
<em>240 - 5x</em>
<u>Step 2: If needed solve for x</u>
240 - 5x - 240 = 0 - 240
-5x / -5 = -240 / -5
<em>x = 48</em>
Answer: 240 - 5x and the candle will be at 0 mm in 48 seconds
Graph Below: (0, 240) shows the initial start and (48, 0) shows the ending point
The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.
<h3>What is Unit Rate?</h3>Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.
Unite rate (k) = x/y.
In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.
Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.
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