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dimulka [17.4K]
3 years ago
8

Show your work W What is the great GCF (Greatest Common Factor)? 24x^2 and 20x

Mathematics
1 answer:
romanna [79]3 years ago
5 0

First, determine the greatest common factor between the numbers.

Remember, the greatest common factor is just the largest

factor that divides evenly into the two numbers.

In this case, 4 is the largest number so the GCF of our numbers is 4.

For the variables, however, we use the smallest power.

Since we have an x and an x², we use an x.

So our GCF is 4x.

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AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0
3 years ago
Evaluate the following for the given values. 7xy - y + x - 1 for x = -2 and y = -1
BigorU [14]

<em>Heyo! ;D</em>

After evaluating the given expression, the result would be <em>14 - x.</em>

<em></em>

<em></em>

Hope this helped you! If so, please lmk! Tysm and good luck!

8 0
2 years ago
Experimental probability
Sedaia [141]
5, 9, 11, 12, 11. Each comma represents a new question
7 0
3 years ago
Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in t
exis [7]
5:12 means there are 17 parts
Percentages are calculated by dividing the part by the total, and multiplying by 100
Julie put in 5 out of 17 parts so:
\frac{5}{17}×100=29.4%
Kristen owns the rest of the business \frac{12}{17}×100=70.6%

The amount of money doesn't make a difference, as the percentage will always be the same.
8 0
3 years ago
We want to factor the following expression:
Pie

Answer:

U = x + 3 and V = 7

Step-by-step explanation:

Let U = x + 3 and V = 7, then:

=> (x + 3)^2 + 14(x + 3) + 49

= (x + 3)^2 + 2*7*(x + 3) + 7^2

= U^2 + 2UV + V^2

= (U + V)^2

(correct)

5 0
3 years ago
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