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BARSIC [14]
3 years ago
6

Please help ASAP I’m not sure on the answers . Please give answers to both questions :)

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

1.25 : 1

0.25 : 1

Step-by-step explanation:

Ratios are basically fractions and proportions

10 : 8 is equal to 10/8 or 1.25/1, so 1.25 : 1

5 : 20 is equal to 5/20 or 0.25/1, so 0.25 : 1

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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
Digiron [165]

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = \frac{AP}{2}

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Substituing:

AP + 2*(\frac{AP}{2}) = a

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Since the distance is between midpoints of AP and QB:

2QB = AP

QB = \frac{AP}{2}

QB = \frac{a}{2}*\frac{1}{2}

QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

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arsen [322]

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True

Step-by-step explanation:

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