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aliina [53]
3 years ago
9

Which of the following statements represents the distributive property?

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

The answer to your question is B.

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Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)
Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

5 0
2 years ago
Math Problem( that my teacher didn't even teach me to do!): Akio wants to make a scale drawing that is 1/5 the size of an origin
katrin2010 [14]
<span>You are given a scale down of the original painting into 1/5.  The ship in the original painting is 14 inches. You are required to estimate the size of the ship in Akio’s drawing. All you need to do is to multiply 1/5 by 14.</span>  

(1/5) (14 inches) = 2.8 inches  
<span>Therefore, the scale down of the ship from the original painting is 2.8 inches. </span>
3 0
3 years ago
Simplify the expression
ollegr [7]

Answer:

<h3>              f(x) = x - 6</h3><h3>             g(x) = x - 5</h3>

Step-by-step explanation:

\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5

4 0
3 years ago
PARTY IN THIS QUESTION ONLY WELL KNOWN PEOPLE ON BRAINLY CAN COME
azamat

Answer:

hi

Step-by-step explanation:

3 0
3 years ago
Lydia recorded the grade-level and instrument of everyone in the middle school School of Rock below.
neonofarm [45]

Answer:

31/42

Step-by-step explanation:

there are 42 students in 8th grade

31 dont play keyboard so 31/42 = 73.8% chance

6 0
2 years ago
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