Why are postulates or theorems important in Geometry?

1 answer:

5 0

In order to study geometry logically, it will be important to understand key mathematical properties and to know how to apply useful postulates and theorems. a postulate is a proposition that has not been proven true but is considered to be true on the basis for mathematical reasoning.

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HALPPPPP Let g(x) = 2x and h(x) = x2 + 4. Evaluate each expression: g(-2) + h(4)

RUDIKE [14]

Answer

16

Explanation

Functions are:

g(x) = 2x and h(x) = x2 + 4

To evaluate g(-2) substitute x = -2 into the function.

2 • -2 = -4

To evaluate h(4) substitute x = 4 into the function.

4^2 + 4 = 20

Add the 2 functions

-4 + 20 = 16

5 0

3 years ago

The central angle of a circle measures 97and intercepts a minor arc. What is the measure of its major arc? A 83 B 97 C 1

zimovet [89]

Major arc is the remaining arc of the circle, so that
major arc+minor arc = 360 degrees.

For this particular problem,
Major arc = 360 - minor arc = 360-97=263 °

4 0

4 years ago

Read 2 more answers

Find the volume of the figure.<br> A 1,053 M^3<br> B 2,106 M^3<br> C 513 M^3<br> D 58,5 M^3

vampirchik [111]

The answer is )A
OK THANK YOU I HOPE THIS HOPED

7 0

3 years ago

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 270 day

dusya [7]

Answer:

a) 281 days.

b) 255 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 270, \sigma = 8$