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Sati [7]
2 years ago
13

Use gcf and distributive property to find the sum of 18 and 24

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
7 0

Step-by-step explanation:

<u>Since the GCF of 18 and 24 is 6, we can </u><u>distribute</u><u> </u><u>6</u><u> </u><u>into</u><u> </u><u>each</u><u> </u><u>number</u><u>.</u>

6(3) + 6(4) = 18 + 24 \: (when \: multiplied)

<u>Also represents;</u>

6(3 + 4) = 18 + 24

<u>And;</u>

6(7) = 18 + 24

<u>When solved;</u>

42 = 18 + 24

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Find the value of x in the following diagram,<br> 3x + 10<br> Here, B and D are points of tangency.
SVEN [57.7K]

<u>Given</u>:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

Thus, we have;

AB = AD

Substituting the values, we get;

3x+10=7x-6

Subtracting both sides of the equation by 7x, we get;

-4x+10=-6

Subtracting both sides of the equation by 10, we get;

-4x=-16

Dividing both sides of the equation by -4, we get;

x=4

Thus, the value of x is 4.

5 0
3 years ago
Melania walked her dog 2 1/5 miles. Cathy walked her dog 1 3/4 times as far as Melania did. How many miles did Cathy walk her do
Step2247 [10]
Make the fractions improper to multiply.2 1/5 becomes 11/5 and 1 3/4 becomes 7/4. multiply the numerators then multiply the denominators. you get 77/20, which is simplest form. don't let teachers feed you that bs about it having to be a mixed number. an improper fraction is way more useful.
5 0
3 years ago
I need the answer fore both plsss
grandymaker [24]

Answer:  6i) 6a² - 2ab

               6ii) -2b³

               6iii) b³ + 7b² - 49b

<u>Step-by-step explanation:</u>

6i)   (a + b)(5a - 3b)             +    (a - 3b)(a - b)

=    5a² - 3ab + 5ab - 3b²   +    a² - ab - 3ab + 3b²

=    5a² + 2ab - 3b²             +   a² - 4ab + 3b²

= 6a² - 2ab

6ii)    (a - b)(a² + b² + ab)              -  (a + b)(a² + b² - ab)

=   a³ + ab² + a²b - ab² - a²b - b³ -  (a³ + ab² - a²b -ab² + a²b + b³)

=   a³ - b³                                      -  (a³ + b³)

=   a³ - b³                                      - a³ - b³

= -2b³

6iii) (b² - 49)(b + 7)             +     343

=     b³ + 7b² - 49b - 343    +    343

=     b³ + 7b² - 49b

You are allowed a maximum of 3 questions.

Please post #7 on a different question.

5 0
3 years ago
01.01 LC)
Eddi Din [679]

Answer:

-2, 2

Step-by-step explanation:

The pair of numbers that sum = 0 is:

-2,2

-2 + 2 = 0

5 0
3 years ago
The area of a square is 320 square feet. estimate the length of one side
Maksim231197 [3]
19ft Estimate the length of one side of a square floor,if the area is 320 square feet.give the whole number that is closest to the amount. the square root of 320 is 17.88,rounded is 18.
8 0
2 years ago
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