$10. Find the value of x in the figure.

Please help. The topic is angles. Anything you know helps

Lorico [155]

Answer:

all of them except straight and reflex

Step-by-step explanation:

when angles are supplementary it means that they add up to 180

an acute angle is supplementary to an obtuse angle

an obtuse angle is supplementary to an acute angle

a right angle is supplementary to a right angle

but a reflex angle is over 180 so it's not supplementary to anything

and a straight angle is already 180 so it has no supplements either

8 0

3 years ago

Which Postulate/Theorem below would prove that the triangles shown below are congruent?

velikii [3]

Answer:

Correct answer is D. ASA

Step-by-step explanation:

Let us first define ASA congruence rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.

In the question figure, we can figure out following conclusions from Triangles $\triangle SRT\text{ and }\triangle WXY$ respectively:

$\angle TRS = \angle YXW$
Side RS = Side WX
$\angle TSR = \angle YWX$

As per the definition of option d) ASA congruence, the triangles are congruent.

3 0

3 years ago

There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that $\mu = 20.1, \sigma = 5.1$ .

You scored 24 on Exam A. So

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

$Z = \frac{24 - 20.1}{5.1}$

$Z = 0.76$

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that $\mu = 1031, \sigma = 215$ .

You scored 1167 on Exam B, s:

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

$Z = \frac{1167 - 1031}{215}$

$Z = 0.632$

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

3 0

3 years ago

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then

Masja [62]

A.
$\frac{7purple}{9total} * \frac{2white}{8total} \\ \frac{14}{72} \\ =0.194$
The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.
$\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278$
The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
 $\frac{7purple}{9total} * \frac{6purple}{8total} \\ \frac{42}{72} \\ =0.583$
Chance of selecting two white marbles:
$\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278$
Chance of selecting two purple vs. Chance of Selecting 2 white:
0.583>0.278.
It is more likely to select 2 purple marbles.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of

Anastaziya [24]

Answer:

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.Step-by-step explanation:

Statement: Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of ingredients. Based on your knowledge, what this indicates?

For this question we assume the following options. We analyze each one in order to select the correct one.

1) The bread is rich in multi-grains.

We don't know if that's correct since we don't know the percentages of each indredient, and we can't ensure that we have a bread rich in multi grains.

2) The bread does not contain any multi-grains.

That's False, since the problem states that at the end of the list of ingredients Jane read the list of grains.

3) This is a multi-grains rich bread.

Again like the option 1 we don't know if the bread present a multi grain composition since the statement don't provide any info to suggest this.

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.

7 0

3 years ago