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Anastasy [175]
3 years ago
13

Given: angle 1 and angle 2 form a linear pair,

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

<em>We will write the proof in like a table</em>

1. ∠1 and ∠2 formed a linear pair  ⇒  1. Given

2. m∠1 + m∠2 = 180°  ⇒ 2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles  ⇒  3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3  ⇒  4. Given

5. m∠2 + m∠3 = 180°  ⇒  5. Substitution method

6. ∠3 is a supplement of ∠2  ⇒  6. Supplement of equal angles

7. ∠2 and ∠3 are supplementary  ⇒  7. Proved

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Alex Ar [27]

Answer:

revolutions per minute for 16 inches is 946 / minute

revolutions per minute for 14 inches is 1081 / minute

Step-by-step explanation:

Given data

radius = 16 inch

speed = 90 mph  = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute

radius 2 = 14 inches

to find out

revolutions per minute

solution

first we calculate the circumference of the wheel i.e. 2×\pi×radius

circumference = 2×\pi×16

circumference = 32\pi

we know that revolution is speed / circumference

revolution = 95040/32\pi

revolution = 945.38 / minute

we have given radius 14 inches than revolution will be i.e.

revolution = speed / circumference

circumference = 2×\pi×14

circumference = 28\pi

revolution =  95040/ 28\pi

revolution = 1080.43 / minute

7 0
3 years ago
How do u solve x+3=14
prohojiy [21]

Answer:

x= 11

Step-by-step explanation:

you subtract 3 from 14 and 11 is you answer so x=11

3 0
3 years ago
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What is the <br>spuare root of 144​
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Answer:

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Please help with this
omeli [17]

Answer:

y =  \frac{1}{8} x - 3

Step-by-step explanation:

Formula for straight lines:

y = mx + b

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

- 3 =  \frac{1}{8} (0) + b \\  - 3 = 0 + b \\ b =  - 3

Substitute b into original formula

y = mx + b \\ y =  \frac{1}{8} x + ( - 3) \\ y =  \frac{1}{8} x - 3

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3 years ago
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viva [34]

Answer:

285

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4(5x15-2)-7

4(75-2)-7

4x73-7

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285

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3 years ago
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