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Assoli18 [71]
3 years ago
11

if PQ=21 cm and QR=5cm, then what are the possible lengths for PR so that line PQ, line QR, and line PR can form a triangle? exp

lain your reasoning
Mathematics
2 answers:
postnew [5]3 years ago
6 0
PR must be less than 26cm as PQ + QR = 26cm

PR must be more than 16cm as PD- QR = 16cm

At both those limits the sides would lay on top of each other.
KatRina [158]3 years ago
6 0

Let

x---------> the possible lengths for PR


we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

case 1)

x+5 >21\\ x >16cm


case 2)

x+21 > 5\\ x >-16cm


case 3)

21+5 > x\\ 26 > x\\ x < 26cm

so

16 < x < 26

therefore


the answer is

PR must be less than 26cm and must be more than 16cm

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16.0°C

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4 0
4 years ago
Marcus wants to determine how age and weight are related to exercise preference in his town. He selects a simple random sample o
mario62 [17]

Answer:

He will be unable to tell whether a difference in exercise preference is related to a difference in age or to a difference in weight

Step-by-step explanation:

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3 0
3 years ago
Please solve for X. Then, circle whether each angle pair is complementary or supplementary​
Maurinko [17]

Answer:

x=11 complementary

Step-by-step explanation:

We see from the square marking that both angles add up to be 90 degrees. Knowing this, we can do 90-43 so that we know the total measure of the top angle. Doing this, we know that the top angle equals 47. We can write this out as 5x-8=47, because they are the same thing. We add 8 to both sides, and get 5x=55. Now we divide both sides by 5 and get x=11. Now we have x, so let's decide if the angle pair is complementary or supplementary. Well, supplementary means the angles add up to be 180 degrees, and complementary means they add up to 90 degrees. We already said that the angle pair added up to 90 degrees, so the angle pair is complementary.

4 0
4 years ago
PLEASE HELP SOON I DONT UNDERSTAND THIS QUIZ
Fantom [35]

1. h₀ = 70  

v₀ = 0 since the rock is dropped it has no initial velocity  

when the rock hits the ground the height = 0  

plug into the formula  

0 = -4.9t² + 0(t) + 70  

0 = -4.9t² + 70  

Add 4.9t² to both sides  

4.9t² = 70  

Divide both sides by 4.9  

t² = 14.2857142857  

Take the square root of both sides  

t = 3.7796447301  

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I am not doing the rest I only did one just to help you understand a bit more

6 0
3 years ago
A bag has 2 blue 3red and 5 yellow tilas. what is the probability of not picking a red tile
MissTica

Answer:

0.2

Step-by-step explanation:

We have,

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Now, the probability of picking a blue tile is:

The number of blue tiles divided by the total number of tiles:

2 ÷ 10 = 0.2

4 0
2 years ago
Read 2 more answers
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