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Eva8 [605]
3 years ago
11

Solve 5(x - 4) = 2(x + 5)for x

Mathematics
2 answers:
Wittaler [7]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

Step 1: Distribute parenthesis

5x - 20 = 2x + 10

Step 2: Add 20 to both sides

5x = 2x + 30

Step 3: Subtract 2x from both sides

3x = 30

Step 4: Divide by 3

x = 10

miv72 [106K]3 years ago
6 0

5x-20 = 2x+10

3x-20= 10

3x= 30

x=10

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<h3>Answer:   40</h3>

=================================================

Explanation:

JQ is longer than QN. We can see this visually, but the rule for something like this is the segment from the vertex to the centroid is longer compared to the segment that spans from the centroid to the midpoint.

See the diagram below.

The ratio of these two lengths is 2:1, meaning that JQ is twice as long compared to QN. This is one property of the segments that form when we construct the centroid (recall that the centroid is the intersection of the medians)

We know that JN = 60

Let x = JQ and y = QN

The ratio of x to y is x/y and this is 2/1

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--------------

We have

JQ = 40 and QN = 20

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