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3 years ago

I need help I don't understand this?

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

If DG, EG and FG are perpendicular bisectors than: AG = BG = CG.By Pythagorean theorem:
BG² = DG² + BD²BG² = 5² + 12²BG² = 25 + 144 = 169BG = √169 = 13 = CG
Answer: CG = 13 cm.

You might be interested in

One angle within a triangle is 76 degrees. What is the value of the exterior angle?

mrs_skeptik [129]

Answer:

The value of the exterior angle is $104\°$

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to $180\°$ , because are supplementary angles.

Let

x-----> the measure of the exterior angle

$76\°+x=180\°$

solve for x

$x=180\°-76\°=104\°$

4 0

4 years ago

Explain why parallelograms are always

Mars2501 [29]

Answer: Parallelogram is a kind of quadrilateral where as there are some quadrilaterals (like trapezoid , kite, .. ) that do not satisfy the properties of parallelograms.

Step-by-step explanation:

A quadrilateral is a closed polygon having fours sides.

A parallelogram is a kind of quadrilateral having following properties:

Its opposite sides and opposite angles are equal.

The sum of adjacent angles is 180°.

The diagonal of parallelogram bisect each other.

A Trapezoid is also a quadrilateral . It has only one pair of parallel sides. (The other one are not parallel).

So , all quadrilaterals not parallelograms.

Therefore, parallelograms are always quadrilaterals but quadrilaterals are sometimes parallelograms because parallelogram is a kind of quadrilateral where as there are some quadrilaterals (trapezoid , kite, .. ) ) that do not satisfy the properties of parallelograms.

plz mark me as brainliest :)

6 0

3 years ago

Delia can buy 3 identical sweatshirts for a total of $30. How much would it cost if she were to buy 4 of the same sweatshirts at

emmainna [20.7K]

$30/ 3 sweatshirts = $10 /shirt

$ 10/shirt * 4 shirts = $40

It would cost $40

7 0

3 years ago

Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut

defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .