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tangare [24]
3 years ago
9

Find the range of possible measures of x if each set of expressions represents measures of the sides of a triangle.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

  • C. x > 3/2

Step-by-step explanation:

<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>

  • x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
  • 2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
  • x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2

<u>Common solution of the three inequalities above is:</u>

  • x > 3/2

Correct choice is C

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helpp A circle has a diameter of 9.6 feet. What is the measurement of the circumference of this circle? Use 3.14 to approximate
KiRa [710]

Answer:

Around 30.16ft

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9.6≈30.15929ft

5 0
3 years ago
Drag a statement or reason to each box to complete this proof.<br><br><br><br> If 4x+5=17, then x=3.
natita [175]

Statement                          Reason

1) 4x + 5 = 17                    Given

2) 4x + 5 - 5 = 17 - 5         Subtraction property of equality

3) 4x = 12                         Simplifying

4) 4x/4 = 12/4                   Division property of equality

5) x = 3                             Simplifying

6 0
3 years ago
Read 2 more answers
5% of what number is 85?
Semmy [17]
5% = 0.5

0.5n = 85

Divide by 0.5

0.5n = 85
/0.5      /0.5

n = 170.

The number is 170.
8 0
3 years ago
Help!!! What is 762.457 X 6.34
MatroZZZ [7]
Hello There
Its pretty tricky but here is your answer
<span>4833.977
Want full answer? here
</span>
<span>4833.97738

Good luck brainy
</span>
5 0
3 years ago
The goalie on the Iceblades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Iceblades are ahe
guapka [62]

1. The paired digits 00 to 99 represent 100 shots.

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Write your answer in the space below.

The answer is 73 to 99

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For a group to be a success, how many of the 5 shots does the goalie need to save?

Write your answer in the space below.

The answer to the question Is all 5.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

Group 1 is a success because none of the numbers 73 and 99 show up.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups?

Write your answer in the space below.

1,3,10

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5. Estimate the probability the Ice blades will win the game. Give your answer as a percent.

Write your answer in the space below.

3/10=30%

4 0
3 years ago
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