Which postulate or theorem can be used to prove the triangles are congruent?

How do I find the domain of a function

Aliun [14]

It is how much the x values can expand on a graph

6 0

3 years ago

This is geometry, I need help! Please and thanks!!

denis23 [38]

Problem 8

Answer: angle LSO and angle MSN

--------------

Explanation:

Vertical angles form when we intersect two line segments, lines, or rays. Vertical angles are opposite one another and they are always congruent.

=============================================

Problem 9

Answer: angle LMS and angle SMN

--------------

Explanation:

Adjacent angles share a common line, line segment, or ray. Think of two adjacent rooms sharing a common wall between them. In the case of the answer above, the two angles share the common segment SM (note how S and M are part of LMS and SMN)

When it comes to naming angles, the middle letter is always the vertex of the angle. This is the hinge so to speak. Or you could picture a pair of scissors. For angle LMS, the arms LM and SM are the two blades of the scissors while point M is where the blades meet.

=============================================

Problem 10

Answer: angle LSM and angle MSN

--------------

Explanation:

Same idea as problem 9. Now we're making S the middle letter. Something like angle LSM is the same as angle MSL.

In this case, the two adjacent angles form a straight line. We consider these two angles a linear pair.

=============================================

Problem 11

Answer: angle LSO and angle OSN

--------------

Explanation:

The term linear pair was discussed back in problem 10. So you could list those two angles again, or you could go with another pair as shown above. All that matters is that they are adjacent angles and they are supplementary angles (they add to 180 degrees). There are many possible answers.

Something like the angle pair angle LOS and angle NOS are adjacent angles, but they aren't supplementary. So we don't meet the condition of a linear pair here.

5 0

3 years ago

Pls help i will reward crown to the first person who is right!!!!

EleoNora [17]

Answer:

x=84

Step-by-step explanation:

thi is the answer of the questions

6 0

2 years ago

"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

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 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846$

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

$Z = \frac{8.1 - 8.4}{0.2846}$

$Z = -1.05$

$Z = -1.05$ has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0

3 years ago

I need help, please, I'm willing to give 24 points!

Margaret [11]

(1) 2 of one step equations

x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31

n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7

(2) 2 equations with fractions

3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3

1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4

(3) distributive property

3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18

4 0

3 years ago