MATHEMATICS COLLEGE

What postulate would you use to prove PQR TSR?

Answers

Answer 1

Answer:

Answer:

SAS

Step-by-step explanation:

You have two pairs of congruent sides that are congruent.

The included angles are vertical angles, so they are congruent.

That means you have two sides and the included angle in each triangle.

Answer: SAS

Related Questions

If 12 gallons of water are divided evenly into 7buckets, how much will be in each bucket?
Find the slope given A(1, -1) B(-2, 1)
Scott is a software salesman. Let represent his total pay (in dollars). Let represent the number of copies of History is Fun he sells. Suppose that and are related by the equation 80x+2100=y Answer the questions below.Note that a change can be an increase or a decrease.For an increase, use a positive number. For a decrease, use a negative number.What is the change in Scott's total pay for each copy of History is Fun he sells?What is Scott's total pay if he doesn't sell any copies of History is Fun?
Find the value of x.x = [ ?1
In the 1980s land prices in Japan surged upward in a ""speculative bubble."" Land prices then fell for 11 straight years between 1990 and 2001. What can we safely assume happened to land rent in Japan over those 11 years? Use graphical analysis to illustrate your answer.

DO NOT ANSWER W/O EXPLANATION PLEASE! NEED WRITTEN SOLUTION.In triangle ABC, an altitude is drawn from vertex C to the line containing AB. The length of this altitude is h and h=AB. Which of the following is true?
I. Triangle ABC could be a right triangle.
II. Angle C cannot be a right angle.
III. Angle C could be less than 45 degrees.

Answers

We have altitude h to side AB and AB=h, i.e. the altitude is congruent to the side it goes to.

That's all kinds of triangles. One way to see them is using two horizontal parallel lines h apart, the bottom one with a base AB=h somewhere on it. Then any C on the top line makes a triangle ABC with altitude h=AB.

Let's go through the choices.

I. ABC could be a right triangle. That's TRUE.

We could have the isoscleles right triangle, C directly above B, so AC is the leg and an altitude, AB=AC and B is the right angle.

II. Angle C cannot be a right angle. That's TRUE.

The biggest angle C can be is when it's over the midpoint of AB, so if AB=2, h=2, and

$AC=√(2^2+1^2)=√(5)$

$C_{\textrm{max}} = 2 \arctan(1/2) \approx 53.13^\circ$

III. Angle C could be less than 45 degrees. That's TRUE.

As long as C stays on our top parallel, we can make it as acute as we like by going farther away from AB.

All true. Hmmm.

What times what equals -20 and those same numbers added together equals 8

Answers

Answer:

10 and -2

Step-by-step explanation:

How many outer atoms and lone pairs are present in a molecule with a square pyramidal shape?

Answers

Answer:

5 Outer and 1 lone pair

Step-by-step explanation:

A square pyramidal shape results when one of the bonds of an octahedron structure is occupied by a lone pair.

Hence there are 5 bonded atoms and one lone pair. The hybridization about the central atom is $sp^(3) d^2$ .

One of the most common example is Xenon tetraflouride. $XeF_4$ . Looking at its structure we can see that it has 5 pairs of outer atoms and one lone pair. With its coordination number 5. The shape of the orbitals is octahedral.

Final answer:

In a molecule with a square pyramidal shape, there are two lone pairs and four outer atoms.

Explanation:

When a central atom has two lone electron pairs and four bonding regions, we have an octahedral electron-pair geometry. The two lone pairs are on opposite sides of the octahedron (180° apart), giving a square planar molecular structure that minimizes lone pair-lone pair repulsions.

Learn more about molecular structure here:

brainly.com/question/512689

#SPJ3

What does (2,7) look like on the coordinate plane.

Answers

Answer: from (0,0) (2,7) is 2 right from (0,0) and 7 up from (2,0)

Step-by-step explanation: go right 2 and 7 up

Answer:

okay so your coordiantes are in the form of (x,y) on a graph.You start at the origin and go to the right 2 units and up 7 units.

Step-by-step explanation:

Hope this helps!

A study is being conducted to compare the average training time for two groups of airport security personnel: those who work for the federal government and those employed by private security companies. From a random sample of 12 government-employed security personnel, average training time was 72 hours, with a sample standard deviation of 8 hours. In a random sample of 16 privately employed security personnel, training time was 65.4 hours, with a sample standard deviation of 12.3 hours. Assume that training time for each group is normally distributed. Use the following notations:μ1: The mean training time for the population of airport security personnel
employed by the federal government.
μ2: The mean training time for the population of airport security personnel
employed by private security companies.
The goal of the statistical analysis is to determine whether the sample data support the hypothesis that average training time for government-employed security personnel is higher than those employed by private security companies.
1. What is the null hypothesis H0?
Select one:
a. μ1- μ2 <= 0
b. μ1- μ2 < 0
c. μ1- μ2 =/ 0
d. μ1- μ2 > 0
2. What is the alternative hypothesis Ha?
Select one:
a. μ1- μ2 > 0
b. μ1- μ2 <= 0
c. μ1- μ2 = 0
d. μ1- μ2 >= 0

Answers

Answer:

1.a. H₀: μ₁ - μ₂ ≤ 0

2.b. H₁: μ₁ - μ₂ > 0

Step-by-step explanation:

Hello!

The objective is to compare the average training time for two groups of airport security personnel.

Group 1: Security personnel that works for the federal government

n= 12

X[bar]= 72 hs

S= 8hs

Group 2: Security personnel from private companies

n= 16

X[bar]= 65.4 hs

S= 12.3 hs

The goal of the analysis is to test if the average training time for government-employed security personnel is higher than those employed by private security companies, symbolically: μ₁ > μ₂

The null and alternative hypotheses are complementary and exhaustive.

The null hypothesis always represents the "no change situation" and therefore always carries the = symbol. Generally, the researcher's claim is stated in the alternative hypothesis.

With all this in consideration, the hypotheses for this experiment are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

I hope this helps!

Let X be the set of all 3×3 matrices whose diagonal entries are all 0. With the usual matrix addition and scalar multiplication, is X a vector space? (b) Let Y be the set of all 3 × 3 matrices whose diagonal entries add up to 0. With the usual matrix addition and scalar multiplication, is Y a vector space?

Answers

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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