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3 years ago

Points C, A, and B are collinear. Which of the following options is another name for CA ?

Mathematics

2 answers:

Flauer [41]3 years ago

3 0

AC

Same line segment just goes in the other direction.

Amanda [17]3 years ago

3 0

Three or more points are said to be collinear points when these all points lie on the single straight line.

Since, it is given that the points C,A and B are collinear, it means that the points C,A and B lie on the single straight line. We have to identify the another name for CA.

Since the same line segment just goes in the same direction. Therefore, AC is the another name for the line segment CA.

So, Option 1 is the correct answer.

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What is the value of x?<br><br> Enter your answer, as a decimal, in the box.

iragen [17]

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x = 67.50 ft

Step-by-step explanation:

Consider, ΔMAB and ΔMNP,

∠M = ∠M (Common)

Given AB║NP and let MN as transversal,

∠MAB = ∠MNP (alternate angle)

Also, Given AB║NP and let MP as transversal,

∠MBA = ∠MPN (alternate angle)

Therefore, ΔMAB ≅ ΔMNP (By AAA similarity )

Thus, by CPCT,

$\frac{MA}{MN}=\frac{MB}{MP}=\frac{AB}{NP}$

consider first two ratios,

$\frac{MA}{MN}=\frac{MB}{MP}$

Substitute the values, MA = MN - AN = 49.5 ft

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