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3 years ago

Keisha solved the following equation:

Mathematics

2 answers:

ad-work [718]3 years ago

4 0

Answer: Step 2 2x + 8 = 6x + 24 Associative Property of Multiplication

Step-by-step explanation: This is the Question...

Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)

Step Work Justification

1 2x + 8 = 6(x + 4) Combine like terms

2 2x + 8 = 6x + 24 Associative Property of Multiplication

3 −4x + 8 = 24 Subtraction Property of Equality

4 −4x = 16 Subtraction Property of Equality

5 x = −4 Division Property of Equality

Which step has an incorrect justification?

A. Step 1

B. Step 2

C. Step 3

D. Step 4

And the answer is, Step 2.

PLEASE GIVE ME BRAINLIEST!!!! PLEASE!!!

slavikrds [6]3 years ago

3 0

Remark

Answer: The second one. The second step removes the brackets on the right. It uses the distributive property which puts back the common factor that was taken out of the two terms 6x and 24. Quite often the distributive property is useful when presenting a problem to be solved.

The associative property is more of an order thing and that is very useful sometimes as well what it says is that if you have three numbers a + b + c the order which you combine things does not matter.

For example 3 + 4 + 5 could be combined as 3 + 4 = 7; 7 + 5 = 12 or 3 + 5 = 8, 8 + 4 = 12.

The associative property is useful when adding fractions.

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Step-by-step explanation:

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Read 2 more answers

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

rusak2 [61]

Answer:

$x=30\\y=68\\z=82$

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

$y+z=5x$

The third angle is 14 more than the second

$z=y+14$

And remember that the sum of these three angles must be equal to 180.

$x+y+z=180$

Let's take these equations

$y+z=5x\\z=y+14\\x+y+z=180$

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

$x+y+z=180\\x+(y+z)=180\\x+(5x)=180$

Distribute the + sign

$x+5x=180$

Combine like terms;

$6x=180$

Divide by 6.

$x=\frac{180}{6}\\ x=30$

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

$x+y+z=180\\30+y+(y+14)=180$

Distribute the + sign and Combine like terms;

$30+y+y+14=180\\44+2y=180\\$

Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

$x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82$

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3 years ago

7 of 12

astra-53 [7]

Answer:

x = 10

Step-by-step explanation:

Since the parallelograms are similar then the ratios of corresponding sides are equal , that is

= ( cross- multiply )

6x = 60 ( divide both sides by 6 )

x = 10

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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