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1 year ago

2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

Mathematics

1 answer:

Ksivusya [100]1 year ago

4 0

Complete question is;

Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

might describe Peter's drawing?

I. AC and AP are parallel.

II. PAC is an angle

III. AC and AP are perpendicular

A. I and II

B. II and III

C. I and 111

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We are told that Peter drew two rays which are AC and AP.

We are told that A is a common endpoint.

If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.

The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.

Thus, the correct statements that describe his drawing are: II & III

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Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 1

mote1985 [20]

Answer:

<h3>Pudge has 12 morethan apples that is 24 apples and both Ace and Christi has not more than 12 apples together they has atmost 12 apples.The apples does each having is</h3><h3>P = Pudge's Apples =24</h3><h3>A = Ace's Apples =8</h3><h3>and C = Christi's Apples=4.</h3>

Step-by-step explanation:

Let P = Pudge's Apples

Let A = Ace's Apples

Let C = Christi's Apples

<h3>To find how many apples does each have if Pudge has 12 more than both Ace and Christi together:</h3>

Given that P = 3A , A = 2C and P = A + C + 12

Substitute the value for P in P = A + C + 12 we get

3A = A + C + 12

3A-A=C+12

2A=C+12

From A = 2C we have that $C=\frac{A}{2}$

Substitute the value C:

$2A=\frac{A}{2}+12$

$2A-\frac{A}{2}=12$

$\frac{4A-A}{2}=12$

$\frac{3A}{2}=12$

$3A=12\times 2$

$A=\frac{24}{3}$

Substituting the value of A in P=3A we get

P = 3(8)

Substituting the values of P and A in P = A + C + 12

$24=8+C+12$

$24=C+20$

$24-20=C$

4=C

Rewritting we get

<h3>∴ C=4 </h3><h3>Hence Pudge has 12 morethan apples that is 24 apples </h3><h3>and both Ace and Christi has not more than 12 apples together they has atmost 12 apples</h3>

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