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3 years ago

Which pair of angles is supplementary? ∠RXZ and ∠YXZ ∠PXQ and ∠RXS ∠YZX and ∠UZT ∠WZX and ∠WYX

Mathematics

2 answers:

Stella [2.4K]3 years ago

6 0

Answer:

∠RXZ and ∠YXZ

Step-by-step explanation:

1. Thank

2. Me

3. Later

rusak2 [61]3 years ago

6 0

Answer:

∠RXZ and ∠YXZ is supplementary.

Step-by-step explanation:

We have to choose the pair of angles from the given options which are supplementary.

Two Angles are supplementary when they add up to 180 degrees.

As we know the linear pair are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 so linear pair of angles must add up to 180 degrees.

∠RXZ and ∠YXZ pair of angles formed on the straight line RY when line XZ intersects and angle on the straight line is 180 hence, supplementary.

Rest three pair of angles not formed on straight line.

Therefore, option 1 is correct.

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A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s

Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable X can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, μ = 72 and the standard deviation is, σ = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

$P( X\geq 96)=P( X>96+0.50)$

$=P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z$

*Use a z-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

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3 years ago

Maya shaved her head and then began letting her hair grow. She represents the length \ellℓell of her hair, in centimeters, mmm m

Zarrin [17]

Answer:

Maya's hair grows at the rate of 1.25cm per month

Step-by-step explanation:

After Maya shaved her hair,

She monitored the growth and recorded the length of the hair monthly in centimeters using the equation ell=1.25mℓ=1.25mell

Therefore, since the length of hair is recorded on a monthly basis, 1.25 in the equation refers to the rate of growth as measured by the length of hair per month.

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3 years ago

If a company sells red, blue, and white tents at a ratio of 5:3:1 and they sell 1,350 tents in one month,

VARVARA [1.3K]

Red: (5 x 1,350)/9 = 750

Blue: (3 x 1,350)/9 = 450

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3 years ago

Read 2 more answers

Need help with problem 20 and 22.

AlexFokin [52]

20 is permutation
22 is counting principle
Hope it help.

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