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2 years ago

PLEASE HELP!!

Mathematics

2 answers:

Alla [95]2 years ago

8 0

"Alternate" means the angles are on opposite sides of the transversal.

Any of angles 1, 4, 5, and 8 are alternate with any of angles 2, 3, 6, and 7.

1 and 5, 1 and 8 are "same side" angles (not alternate), so those answer choices can be excluded from consideration.

___

"Exterior" means that the angles are outside (not between) the parallel lines. Angles 1, 2, 7, 8 are exterior angles. Angles 3, 4, 5, 6 are interior angles (between the parallel lines). Thus answer choice "4 and 6" can be excluded from consiideration.

The appropriate (and only remaining) choice for "alternate exterior angles" is ...

... 2 and 8

_____

Angles 1 and 7 are also alternate exterior angles, but that selection is not on your list of answer choices.

Mamont248 [21]2 years ago

5 0

2 and 8 are alternate exterior angles

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A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute,

expeople1 [14]

Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet

Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles

Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet

Answer: Each minute, the pendulum swings 69.115 feet.

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2 years ago

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nydimaria [60]

Answer:

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Step-by-step explanation:

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guapka [62]

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

$\dfrac{35}{100}\times 150=52.5$

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

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Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

$\dfrac{113}{100}\times 55=62.15$

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

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