3 years ago

Find the greatest common factor of 63 and 42

Mathematics

2 answers:

padilas [110]3 years ago

7 0

Answer:

Step-by-step explanation:

42=2×3×7

63=3×3×7

HCF=3×7=21

21 is the answer

Andru [333]3 years ago

4 0

Greatest common factor (GCF) of 42 and 63 is 21. We will now calculate the prime factors of 42 and 63, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 63.

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C. Line m is a perpendicular<br> bisector. If EG=12 and FG=5,<br> of then how long is:

strojnjashka [21]

Answer:

$EF = 13$

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Step-by-step explanation:

Given

The attached figure

$EG = 12$

$FG = 5$

Solving (a): EF

Since m is a perpendicular bisector, then <EGF and <EGH are right-angled.

So, EF will be calculated using Pythagoras theorem which states:

$EF^2 = EG^2 + FG^2$

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Take the positive square roots of both sides

$EF = \sqrt{169$

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Solving (b): GH

Since m is a perpendicular bisector, then GH = FG

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$GH = 5$

Solving (c): EH

Since m is a perpendicular bisector, then EH = EF

$EF = 13$

$EH = EF$

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