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3 years ago

Name the property of equality or congruence that justifies going from the first statement to the second statement

Mathematics

1 answer:

34kurt3 years ago

5 0

Addition property of equality is used

Solution:

Given that,

We have to find the property of equality or congruence that justifies going from the first statement to the second statement

Given is:

3a - 6 = 54

3a = 60

It is clear that, addition property of equality is used

The property that states that if you add the same number to both sides of an equation, the sides remain equal

The equation remains to be true, if we add or subtract same number on both sides of equation

Therefore,

3a - 6 = 54

Add 6 on both sides of equation

3a - 6 + 6 = 54 + 6

3a = 54 + 6

3a = 60

Thus addition property of equality is used

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GIVING 20 POINTS! PLEASE HELP!

yulyashka [42]

Answer:

Option C

Step-by-step explanation:

x + 6) 3x⁴ + 20x³ + 14x² + 17x + 30 (3x³ + 2x²+ 2x + 5

3x⁴ + 18x³

2x³ + 14x²

2x³ + 12x²

2x² + 17x

2x² + 12x

5x + 30

5x + 30

Therefore, quotient is (3x³ + 2x²+ 2x + 5).

Option C is the correct option.

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3 years ago

Determine whether each question below is a statistical question. Write "yes" or "no" in the spaces provided.

nikdorinn [45]

Answer:

a yes

b no

c no

d yes

e yes

f no

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3 years ago

In the Brady's Family, each girl has twice as many brothers as she has sisters.

levacccp [35]

Answer:

3 girls and 4 boys

Step-by-step explanation:

Writing the number of girls in the family as g and the number of boys in the family as b,

we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as

b = 2(g-1)

Next,

we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as

b-1 = g

Therefore, we have

b = 2(g-1)

b-1 = g

Plugging b-1 = g into the first equation, we get

b = 2 (g-1)

2(g-1) = 2((b-1) - 1) = b

= 2(b-1-1)

= 2(b-2)

= 2b-4

b = 2b-4

subtract 2b from both sides to make it so that only b values and their coefficients are on one side

-b = -4

multiply both sides by -1 to solve for b

b=4

Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.

3 0

3 years ago

A regression analysis between sales (in $1000) and advertising (in $) resulted in the following least squares line: Y= 32 + 8X.

goblinko [34]

Answer:

Step-by-step explanation: This is a question under linear regression analysis.

The question is trying to relate sales (in $1000) and and advertising.

Both sales and advertising are variables and are connected by the equation

Y = 32x + 8

Which is a linear regression equation of 2 variables.

Where x is the independent variable which represents advertising in this case and Y is the dependent variable which represents sales.

At $1 of adverts, we have $40 of sales.

We just simply put the fact that x = $1 (advertising) into the linear regression equation, we have the value of Y ( sales)

Y = 32(1) + 8

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3 years ago

Name the Property Shown: 16=16 Question 1 options: Symmetric Property Transitive Property Reflexive Property Distributive Proper

Lemur [1.5K]

Answer:

reflexive property

Step-by-step explanation:

reflexive property states that a number equals itself, a = a, so since 16 = 16, or 16 equals itself, it's reflexive.

3 0

3 years ago