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2 years ago

NEED HELP WITH THIS GEOMETRY PROBLEM

Mathematics

2 answers:

kirill [66]2 years ago

7 0

You got it right. It's SAS since it gives two congruent sides and one congruent angle

PSYCHO15rus [73]2 years ago

3 0

Answer:

SAS

Step-by-step explanation:

Here, we are given that the side WS = NT, side AS = OT and ∠S = ∠T.

According to the Side Angle Side theorem or postulate (which is commonly abbreviated as SAS), if the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle then these two triangles are said to be congruent.

So the two sides WS and AS and their included angle ∠S from the triangle WAS and sides NT and OT and their included angle ∠T from the triangle NOT are equal, therefore the two triangles are congruent.

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8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

$Z = \frac{X - \mu}{\sigma}$

$-1.645 = \frac{X - 32}{1.5}$

$X - 32 = -1.645*1.5$

$X = 29.5$

Heights of 29.5 and below could be a problem.

4 0

2 years ago

Which of the following is equivalent to 0 equals 3 x squared minus 12 x minus 15 when completing the square?

skad [1K]

Answer:

x = 5, -1

Step-by-step explanation:

0 = 3x^2 - 12x - 15 or

3x^2 - 12x - 15 = 0

By solving for x, use the Quadratic Formula.

… x = 5 and/or -1

8 0

2 years ago

Please help me out, i can not understand this, i will give a brainliest out to whoever can help me

Mariana [72]

The answer is x > -2

8 0

2 years ago

Read 2 more answers

Steven starts a savings account with $10,000. He earns 7% annual interest. How much will be in the account after 6 years. Round

sveta [45]

So the equation is A = P(1+rt)
A = 10,000(1+0.07*6)
A = 10,000(1+0.42)
A = 14,200.00

7 0