Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles?

Answers

Answer 1

The two triangles are similar.

The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45

We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70

Any two triangles that have all 3 angles congruent is similar by AAA.

Answer 2

Answer:

D: The two triangles may be congruent, but additional information is needed about the sides of each triangle.

Step-by-step explanation:

Got in right on Edge

Related Questions

which recursive formula can be used to reresent the sequence 2,6,10,14,18

1. a = 0
1
a = a + 4
n n-1

2. a = 2
1
a = a +4
n-1 n

3. a = 2
1
a = a -4
n n-1

4. a = 2
1
a = a +4
n n-1

Answers

Answer:

[tex] 4.\\\left\{\begin{array}{ccc}a_1=2\\a_n=a_{n-1}+4\end{array}\right\\\\check\\\\a_2=a_1+4\to a_2=2+4=6\\\\a_3=a_2+4\to a_3=6+4=10\\\\a_4=a_3+4\to a_4=10+4=14\\\\a_5=a_4+4\to a_5=14+4=18 [/tex]

Write y=(-5/8)x+3 in standard form using integers

Answers

The standard form: Ax + By = C

[tex]\left(-\dfrac{5}{8}\right)x+3=y\ \ \ |-y\\\\-\dfrac{5}{8}x-y+3=0\ \ \ |\cdot(-1)\\\\\dfrac{5}{8}x+y-3=0\ \ \ \ |+3\\\\\dfrac{5}{8}x+y=3\ \ \ \ |\cdot8\\\\5x+8y=24[/tex]

A study is created in which the participants were randomly assigned to groups for different treatments. Which best describes the reason this was done?

A. It allows us to see the true nature of any effects of different treatments.

B. It allows us to determine if the treatment effect is significantly different from the placebo effect.

C. It allows us to distinguish among the effects of different factors.

D. It allows us to use chance as a way to create groups that are similar to the population.

Answers

The correct answer is D) it allows us to use chance to create groups that are similar to the population.

For any study, the sample you use needs to be representative of the population. Using chance helps this process.

Answer:

D) it allows us to use chance to create groups that are similar to the population.

Step-by-step explanation:

A study is created in which the participants were randomly assigned to groups for different treatments. This was done as it allows us to use chance to create groups that are similar to the population.

Random assignment is the use of chance, to make sure that every participant has the same chance to be selected in groups. These divided groups can be experimental groups or treatment groups.

A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?

It is a line connecting a series of points.
It is a line drawn only in the first quadrant.
It is a series of points that cannot be connected by a straight line.
It is a series of points that fall in a straight line but are unconnected.

Answers

The correct answer is the last choice.

When the data is discrete, it is separate. That means that the values are not connected.

And since it is proportional, it is also is a straight line.

Answer:

It is a series of points that fall in a straight line but are unconnected.

Step-by-step explanation:

the larger of two numbers is 1 more than 3 times the smaller. the diffrence is between 8 time the smaller and 2 tmies the larger is 10 find the numbers

Answers

Let the two numbers be x and y, with y being larger than x.
Then y=3x+1.
Also, 8x-2y= 10.

The first equation has already been solved for y. Substitute 3x+1 for y in the second equation:

8x-2(3x+1)=10, or 8x - 6x - 2 = 10, or 2x = 12 and x = 6.

If x = 6, then by the first equation y must be 3(6)+1, or 19.

The numbers are 6 and 19.

Three out of 4 students made an A on the last arithmetic test. If there are 32 students how many students made an A

Answers

The answer is 24 students

24 students made an A in the last arithmetic test.

What is the ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.

Given, Three out of 4 students made an A on the last arithmetic test.

out of 4 students, the student gets an A = 3

out of 1 student get A = 3/4

Since there are 32 students in total

out of 32 students, the student gets A = 3/4 * 32

out of 4 students, the student gets an A = 24

therefore, out of 32 students, there are 24 students who got A's.

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Julie has two formal events to go to--one for her work and one for her partner's work. She has six formal dresses--two blue ones, one black, one red, and two white. Since the same people will not be at the two events she is okay wearing the same dress. She finds the probabilty that she wears a blue and a red dress as p(blue and red) = 2 6 · 1 6 . What do you know about the two events

Answers

The two events are independent.

Since she is not concerned with wearing the same dress more than once, we are essentially selecting the dresses with replacement. The probability further shows this; there are 2 blue dresses out of 6, and 1 red dress out of 6. Since we use 2/6(1/6) for the probability, this means the dress was selected with replacement, so they are independent.

Answer:

The two events are independent.

She used the multiplication rule to calculate the probability. Since she is okay wearing the same dress to the two events they are independent.

Step-by-step explanation:

An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him

Answers

The artist 56 hours to complete 8 pictures for the art show.

Question: An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him?
To find out how many hours it would take the artist to paint 8 pictures, we can use the information given.
The artist can draw one seventh of a picture every hour. This means that in one hour, the artist can complete 1/7 of apicture.
To find out how many hours it would take to complete one picture, we can divide 1 by 1/7.
1 ÷ 1/7 = 7/1
So, it would take the artist 7 hours to complete one picture.
Since the artist needs to paint 8 pictures, we can multiply 7 hours by 8.
7 hours × 8 = 56 hours
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Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. Stock B is a medium-risk stock that has expected returns of 5%. Stock C is a high-risk stock that has expected returns of 6%. You want to invest at least $1,000 in each stock. To balance the risks, you decide to invest no more than $7,000 in stock C and to limit the amount invested in C to less than 4 times the amount invested in stock A. You also decide to invest less than twice as much in stock B as in stock A. How much should you invest in each stock to maximize your expected profit? Complete the constraints.

Answers

Answer:

Stock A: 1

Stock B: 1 and y=2

Stock C: 1, 7, 4

Final answer:

To maximize expected profit, you need to determine the amount to invest in stocks A, B, and C while considering the given constraints.

Explanation:

To invest in each stock to maximize expected profit, we need to determine the amount to invest in stocks A, B, and C while considering the given constraints.

Let's denote the amount invested in stock A as x, in stock B as y, and in stock C as z.

The constraints are as follows:

At least $1,000 should be invested in each stock: x > $1,000, y > $1,000, z > $1,000No more than $7,000 should be invested in stock C: z < $7,000The amount invested in C should be less than 4 times the amount invested in A: z < 4xThe amount invested in B should be less than twice the amount invested in A: y < 2x

To maximize expected profit, we need to maximize the sum of the expected returns from each stock:

Expected profit = 0.04x + 0.05y + 0.06z

By solving the constraints and optimizing the expected profit function, we can find the optimal values for x, y, and z.

You spin the spinner and flip a coin find the probability of the compound event only number 3 and 4

Answers

3. 4/7 because you put favorable over possible favorable meaning what could happen and possible meaning how many things you are testing

4. 5/7 because it says NOT spinning a 5 which is 4 plus flipping tails is 5 and your possible outcome would would be the same as number 3.

The following table shows the data collected from four random samples of 50 students from a small middle school regarding their reading preferences

Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
A. Novels
B. Short Stories
C. Classics
D. Comic Book

Answers

I am pretty sure it is A. Novels

Answer:

A. Novels Hope this helps!

Step-by-step explanation:

Find the unknown. 1,025 = ( × 9) + 17

Answers

[tex]\left(\boxed{|}\ \times\ 9\right)+17=1,025\ \ \ \ |-17\\\\\boxed{|}\ \times\ 9=1,008\ \ \ \ |:9\\\\\boxed{|}=112\\\\Answer:112[/tex]

Simon has 20 quarters and 12 dimes.He wants to purchase ice cream for his friends.An ice cream cone cost $1.00.How many cones can Simon by for his friends?

Answers

20 quarters = $5.00
12 dimes = $1.20
Total Money = $6.20

Simon can by 6 ice cream cones for his friends.

First you should add up the coins. 25x20=$5.00 and 12x10=$1.20 500+120=$6.20. So, simon can buy 6 snow cones

Which of the following sequences is not arithmetic?

a.1, 2, 3, 4, ...
b.2, 4, 6, 8, ...
c.0, -2, -4, -6, ...
d.1, 4, 9, 16, ...

Answers

Answer: Choice D

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

A is arithmetic since we add 1 each time. The common difference is d = 1
B is arithmetic because the common difference is d = 2
C is arithmetic because d = -2 is the common difference
D is not arithmetic. The jump from 1 to 4 is +3 while the jump from 4 to 9 is +5

Answer:

1, 4, 9, 16, ...

Step-by-step explanation:

Help with question 12 please

Answers

I really don’t know I’m so sorry hope someone will help

Daniel's Train: 1:45 + 12 min = 1:57
Teri's Train: 2:35 - 20 min = 2:15
Time between 1:57 and 2:15 is 13 minutes

24 3/8 inches

- 12 3/4 inches

= ?

Correct gets brainliest

Answers

24 3/8 inches - 12 3/4 inches equals 11.625 inches or 11 5/8 inches.

Means-to-MAD question. Pretty easy.

Answers

MAD means "multiply, add, divide" so maybe this helps

Answer:

Multiply ,Add , divide

Step-by-step explanation:

The area of this rectangle is 5x2. What does the coefficient 5 mean in terms of the problem?

Answers

5 represents one of the dimensions of the rectangle, either length or width.

Answer: The length is 5 times the width

Step-by-step explanation:

Given: The area of rectangle = [tex]5x^2=(5x)(x)[/tex]

Here x must be a positive real number since it can not be negative.

Also for area of rectangle =[tex]length \times width[/tex]

And length is always greater than width of rectangle, therefore in the given expression 'x' must be width and '5x' must be length of rectangle .

[∵ for every positive x , 5x>x]

Hence, the coefficient 5 means the length is 5 times the width.

Please help. I’ll give brainliest

Answers

the correct answer is 4/15

Answer:

4/15

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28 (there are 7)

19: There is 1

Total: 7+1=8

8/30=4/15

LAST QUESTION HELP A GIRL OUT

Answers

Using the given points, you can write the equation as ...
[tex]y=7.5\left(\dfrac{16.875}{7.5}\right)^{\frac{x-1}{3-1}}=7.5\cdot (2.25^{\frac{1}{2}})^{x-1}\\=7.5\cdot 1.5^{x-1}=7.5\cdot 1.5^{-1}\cdot 1.5^{x}\\y=5\times 1.5^{x}[/tex]

the sum of 2 consecutive even integers is 234, what is the larger integer

Answers

x= smaller integer
x+2= larger integer

Add the integers

x + (x + 2)= 234
2x + 2= 234
subtract 2 from both sides

2x= 232
divide both sides by 2

x= 116 smaller integer

x+2= 118 larger integer

CHECK:
116 + 118= 234
234= 234

ANSWER: The larger consecutive even integer is 118.

Hope this helps! :)

Let one of the numbers be x.
The other number will be x + 2.

Sum of the 2 numbers is 234.
x + x + 2 = 234
2x + 2 = 234
2x + 232
x = 116

One number = 116
Other number = 116 + 2 = 118

Answer: Larger number = 118

please help and hurry

it’s not the one i picked

Answers

using the Pythargorean theoem

a^2 + b^2 = c^2

2^2 + 2^2 = c^2

4 + 4 = c^2
8 = c^2
c = sqrt(8)
the answer would be D

a^2+b^2=c^2
2^2+2^2=c^2
4+4=c^2
8+c^2
put 8 through the square root so the answer would be D

how would you solve x^2 -6x +7=0 to complete the square and solve the quadratic equation?

Answers

Final answer:

The solution to the quadratic equation x² - 6x + 7 = 0 is found by modifying the equation to the form (x - h)² = k, adding 9 to each side, and then taking the square root of each side to solve for x, resulting in x = 3 ± √2.

Explanation:

To complete the square and solve the quadratic equation x² - 6x + 7 = 0, we need to perform a few steps.

First, we need to modify the equation to the form (x - h)² = k by manipulating the x² - 6x part of the equation. By taking half of the coefficient of x (which is -6) and squaring it, we will get 9. Adding 9 to both sides of the equation will give us (x - 3)² = 2. Finally, to solve for x, we take the square root of each side, resulting in x - 3 = ±√2. Solving for x, we find that the solutions of the quadratic equation are x = 3 ± √2.

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Solve the Systems of equations algebraically

4x+5y=15
-4x+6y+7

Answers
A- (5/4, 2)
B- (2, 5/4)
C- (4/5,2)
D (2, 4/5)

Answers

STEP 1:
4x + 5y= 15
-4x + 6y= 7
add the two above equations; the x term cancels out; solve for y

11y= 22
divide both sides by 11

y= 2

STEP 2:
substitute the y value in step 1 into either original equation

4x + 5y= 15
4x + 5(2)= 15

4x + 10= 15
subtract 10 from both sides

4x= 5
divide both sides by 4

x= 5/4

ANSWER: (A) x= 5/4, y= 2 or (5/4, 2)

Hope this helps! :)

A spinner is spun 300 times and stops on C 95 times. Calculate the experimental probability of the spinner stopping on C.

Answers

it would be 32% or 32/100

Answer:

19/60

Step-by-step explanation:

what equation results from completing the square and then factoring.

Answers

The answer is D (x+11)^2=152

according to the graph what is the value of the constant in the equation below rewritten in

Answers

B. 80 My work is shown in the picture above.

Answer:

The answer to this is B. 80

A container of 8 metal beams weighed one fourth of a ton. If every beam weighed the same amount, how heavy was each?

Answers

The correct answer for this question is 500 pounds

Help with all of them please

Answers

Your answers are:
1. B
2. A
3. 1.5
4. D
Tell me if you want to see the work.

What is the surface area of this triangular prism rounded to the nearest tenth? A) 63.3 cm2 B) 75.6 cm2 C) 85.7 cm2 D) 97.2 cm2

Answers

The answer is C) 85.7 cm.

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