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3 years ago

Tito solved this equation. Which properties did he use?

Mathematics

2 answers:

Vesnalui [34]3 years ago

7 0

Multiple properties of equation.

Oksi-84 [34.3K]3 years ago

4 0

Answer:

1. Distributive property

2. Addition property of equality

3. Multiplication property of equality.

Step-by-step explanation:

We are given the following information in the question.

An equation is solved using various properties. We have to tell the properties used.

The solving of the equation is done in the following manner:

$2(3x+5) = 22 + 5x - 3x\\\text{Using the distributive property: a(b+c) = ab + ac}\\6x + 10 = 22 + 5x - 3x\\6x + 10 = 22 + 2x\\\text{Using addition property of equality: If a = b then a+x = b + x}\\6x + 10 -2x = 22 + 2x -2x\\4x + 10 = 22\\\text{Using addition property of equality: If a = b then a+x = b + x}\\4x + 10 - 10 = 22-10\\4x = 12\\\text{Using multiplication property of equality: If a = b then ax = bx}\\\displaystyle\frac{4x}{34} = \frac{12}{4}\\\\x = 3$

Thus, the following properties were used:

1. Distributive property

2. Addition property of equality

3. Multiplication property of equality.

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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.

First, lets see if line AB is parallel to line CD.

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.

Now, lets see if line BC is parallel to line AD.

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.

Conclusion

ABCD is a parallelogram because it contains two parallel sides.

5 0

3 years ago

What would these be reflected as?

pantera1 [17]

what direction are they to be reflected

Step-by-step explanation:

answers will be different depending on that

7 0

2 years ago

Find the measure of the arc or angle indicated. Find the meausre of arc HG.

devlian [24]

Answer:

the measure of arc HG is 136

8 0

3 years ago

You make $85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k plan, up to 8% of your s

san4es73 [151]

Answer:

a) 100 $

b) 566,66 $

c) 566,66 $

Step-by-step explanation:

Mak 85,000 $ /per year, means 85000/12 per month that is 7083,33

8% of 7083,33 is 566,66 $ . Then

a) 200 < 566,33 then my company will contribute with 0,5*200 = 100 $

b) If I contribute with 830 $ ( 830 > 566,66 ) then my company will contribute with 566,66 $ the biggest amount

c) 566,66 s the maximm amount of money

4 0

4 years ago

Find the Simple Interest on a loan of ₦60,000 at the rate of 3% for 3½ years.

dedylja [7]

Answer:

6300

Step-by-step explanation:

T = 3 1/2 = 7/2

R = 3% = 3/100

P = 60,000

I = PRT

I =60,000×3/100×7/2

I =6300

3 0

3 years ago