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3 years ago

From the statement select the related given statement. If B is between A and C, then AB + BC = AC

2 answers:

7 0

From the statement select the related given statement. If B is between A and C, then AB + BC = AC

answer
C.) Point B is between points A and C.

vova2212 [387]3 years ago

4 0

Answer:

C.) Point B is between points A and C.

Step-by-step explanation:

The simplest way to analyze this is as a line.

This line goes from A to C and somewhere in the middle, is B.

But they tell you that AB + BC = AC.

The distance from A to B plus the distance from B to C is the same as the distance from A to C.

Option A about planes is not the correct one because there's no mention of planes.

Option B about angles is not correct because they only talk about some points of a line. You don't know if there's some angle in between.

The same happed with options D and E.

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Simplify each exponential expression using the properties of exponents and match it to the correct answer.

saveliy_v [14]

1) (2 $\times$ 3^-2)^3 (5 $\times$ 3^2)^2 / (3^-2)(5 $\times$ 2)^2 = 2

2) (3^3) (4^0)^2 (3 $\times$ 2)^-3 (2^2) = 1/2

3) (3^7 $\times$ 4^7) (2 $\times$ 5)^-3 (5)^2 / (12^7) (5^-1) (2^-4) = 2

4) (2.3)^-1 (2^0) / (2.3)^-1 = 1

Step-by-step explanation:

Step 1 :

(2 $\times$ 3^-2)^3 (5 $\times$ 3^2)^2 / (3^-2)(5 $\times$ 2)^2

⇒ (2^3) (3^-6) (5^2) (3^4) / (3^-2) (10^2)

⇒ (2.2^2.5^2) (3^-6.3^4) / (3^-2) (10^2)

⇒ (2)(10^2) (3^-2) / (3^-2) (10^2)

⇒ 2

Step 2 :

(3^3) (4^0)^2 (3 $\times$ 2)^-3 (2^2)

Any number with power 'zero' is 1.

⇒ (3^3) (1^2) (3^-3) (2^-3) (2^2)

⇒ (2^(-3+2))

⇒ 2^-1 = 1/2

Step 3 :

(3^7 $\times$ 4^7) (2 $\times$ 5)^-3 (5)^2 / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (2^-3) (5^(-3+2)) / (5^-1) (2^-4)

⇒ (2^-3) (5^-1) / (5^-1) (2^-4)

⇒ 1 / (2^-1)

⇒ 2

Step 4 :

(2.3)^-1 (2^0) / (2.3)^-1

⇒ (2^0)

⇒ Any number with power 'zero' is 1

⇒ 1

8 0

3 years ago

billy saw 19 animals at grayson zoo in the morning. he saw 17 more animals after lunch how many animals did billy see in all

shutvik [7]

He saw 36 animals.19+17=36.Hope that helps.

7 0

4 years ago

Read 2 more answers

A salesman makes 4% commission on sales. What is his commission on $8,472 worth of sales?

Slav-nsk [51]

Answer:

The answer is $12,000 I think check to be sure...Sorry in advance I'm not the best at math guys...

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Value of p,q and r if (2^p)*(3^q)*(7^r)=1176

koban [17]

Answer:

p=3 , q=1 , r=2

Step-by-step explanation:

1176=2*2*2*3*7*7

1176=(2^3)*(3^1)*(7^2)

given that 1176 = (2^p)*(3^q)*(7^r)

Comparing Equation 1 & 2

we get p=3 , q=1, r=2

5 0

3 years ago

What is the quotient? URGENT!!

jeyben [28]

Answer:

The answer is A.

Step-by-step explanation:

You have to multiply by converting the second fraction into upside down :

$\frac{4x + 1}{6x} \div \frac{x}{3x - 1}$

$= \frac{4x + 1}{6x} \times \frac{3x - 1}{x}$

$= \frac{(4x + 1)(3x - 1)}{x(6x)}$

$= \frac{12 {x}^{2} - 4x + 3x - 1}{6 {x}^{2} }$

$= \frac{12 {x}^{2} - x - 1 }{6 {x}^{2} }$

5 0

3 years ago