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dmitriy555 [2]
3 years ago
15

Find the GCF of 21, 30

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
5 0

Answer:

The GCF of 21 and 30 is 3.

Step-by-step explanation:

Find the prime factorization of 21

21 = 3 × 7

Find the prime factorization of 30

30 = 2 × 3 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3

Evgesh-ka [11]3 years ago
3 0

Answer:

3

Step-by-step explanation:

Factors of 21: 1, 3, 7, 21

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The GCF is the largest factor they both have.

GCF = 3

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Check the picture.

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1. The angles ABC and CBP  are  "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.

thus, 

(2x+5°)+(7x-14°)=180°

9x-9°=180°

9x=189°

x=189°/9=21°.


2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P

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Angles CBP and P are called "angles F" or "corresponding angles".

Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:

m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°


Answer: 133°

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Answer:

7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

12-3(2x+1)=7x-3(7+x)

Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

-6x-7x+3x=-21+3-12

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Divide both sides by -10

x=3

Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

\implies 36=2(2w+4)

Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

\implies 14=2w

\implies w=7

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

"5 fewer than a number is at least 12" becomes

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Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

4 0
3 years ago
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