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lesantik [10]
3 years ago
9

Help me llliad plz neeeeeeed help

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0
Lets get started :)

Diameter = 2.5 ft
Radius = \frac{diameter}{2} = \frac{2.5}{2} = 1.25

a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information

C = 2\pi(1.25) or 2.5\pi
    ≈ 7.85 ft 
(we can leave the answer in terms of pi {\pi})

b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll

\frac{5280}{circumference} = \frac{5280}{2.5 \pi } 
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5\pi instead of 7.85, to increase accuracy)

672.2

The tire will rotate 672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile

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The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

Prove \ x = \dfrac{62}{9}

Statement                   {} Reason

S1. 9·(x + 6) - 41 = 75   {}  R1. <u>Given</u>

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S4. 9·x = 62                   {}R4. <u>Subtraction property</u>

S5. x = \dfrac{62}{9}                     {} R5. <u>Division property of equality</u>

Question 2.

Statement                                     {}        Reason

S1. m∠A + m∠B = m∠D   {}                     R1.  Given

S2. ∠C and ∠D form a Linear Pair   {}   R2. Definition of linear pair

S3. ∠C and ∠D are supplementary   {}R3. <u>Linear pair ∠s are supplementary</u>

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S5. m∠C + m∠A + m∠B = 180°   {}         R5. <u>Substitution property</u>

Question 3.

Statement                                     {} Reason

S1. ∠BDA ≅ ∠A                             {} R1. Given

S2. ∠BDA ≅ ∠CDE                      {}  R2. <u>Vertical angle theorem</u>

S3. ∠CDE ≅ ∠A                      {}       R3. Transitive property of congruency

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Learn more here:

brainly.com/question/11331230

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