Are the two triangles similar? Explain your answer.

Are The Two Triangles Similar? Explain Your Answer.

Answers

Answer 1

9514 1404 393

Answer:

 yes

Step-by-step explanation:

If two angles of one triangle match two angles of another, all three angles must be the same, and the triangles are similar. Here, angles A and D are congruent, and angles C and F are congruent. Hence ΔABC ~ ΔDEF.


Related Questions

An airplane flies at an altitude of 6 miles toward a point directly over an observer. Consider and x as shown in the figure.
(a) Write as a function of x.
(b) Find when x = 11 miles and x = 4 miles. (Enter your answers in radians rounded to two decimal places.)

Answers

Answer:

20.7 I hope this is right good luck


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

answer:
y = -2x + 11

step-by-step explanation:
counting rise/run you will find the slope is -2
using this rule 11 would be the y-intercept
making it into y = mx + b
y = -2x + 11

An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event

Answers

Answer:

The probability is that he hits 5.6 out of 7 attempts.

Step-by-step explanation:

Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:

7 x 80/100 = X

560/100 = X

5.6 = X

Therefore, the probability is that he hits 5.6 out of 7 attempts.

PLEASE HELP QUICK!!

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck?


A. $100 in clothing sales gives Rachel a $250 paycheck

B. $1,100 in clothing sales gives Rachel a $260 paycheck

C. $4,200 in clothing sales gives Rachel a $420 paycheck

D. $16,000 in clothing sales gives Rachel a 1,450 paycheck

Answers

Answer:

A-false  B-true  C-false  D-false

Step-by-step explanation:

We just have to calculate a lot!

A.

100*10%=10

10+150=160

NOPE

B

1100*10%=110

110+150=260

YUP

C

4200*10%=420

420+150=570

NOPE

D

16000*10%=1600

1600+150=1750

NOPE

All false I just had this question on test

Solving systems by elimination.

Answers

Answer:

These are the answers :) If you have any questions feel free to ask!

1. (1,3)

2. (6,6)

3. (-1,-2)

4. (6,3)

Point Q is the center of dilation. Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime. The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches. Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the original photo? 3 × 8 6 × 8 12 × 16 18 × 24

Answers

Answer:

it is 6 x 8

Step-by-step explanation:

100%

The dimensions, in inches, of the original photo are 6 x 8.

We have given that,

Point Q is the center of dilation.

Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime.

The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches.

Sylvia enlarged a photo to make a 24 x 32-inch poster using the dilation DQ,4.

We have to determine the dimensions, in inches, of

the original photo 3 × 8 6 × 8 12 × 16 18 × 24

What is the dimension?

Dimensions in mathematics are the measure of the size or distance of an object or region of space in one direction.

The dimensions, in inches, of the original photo is 6 x 8.

To learn more about the dimension visit:

https://brainly.com/question/26740257

#SPJ5

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

Answers

Answer:

The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.

Step-by-step explanation:

The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications.

At the null hypothesis, we test that the mean is the specification value of 5.7, that is:

[tex]H_0: \mu = 5.7[/tex]

At the alternate hypothesis, we test that the mean is above the specifications, that is, above 5.7. So:

[tex]H_a: \mu > 5.7[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

5.7 is tested at the null hypothesis:

This means that [tex]\mu = 5.7[/tex]

The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49.

This means that [tex]n = 8, X = 6.2, s = \sqrt{0.49} = 0.7[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{6.2 - 5.7}{\frac{0.7}{\sqrt{8}}}[/tex]

[tex]t = 2.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 6.2, which is the p-value of t = 2.02, using a right-tailed test with 8 - 1 = 7 degrees of freedom.

With the help of a calculator, this p-value is 0.0416.

The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.

y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y when this value of x is multplied by 1/2.​

Answers

Answer:

The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].

Step-by-step explanation:

According to the statement, we have the following relationship:

[tex]y = k\cdot x^{3}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]k[/tex] - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

[tex]\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}[/tex]

If we know that [tex]y_{1} = y[/tex], [tex]y_{2} = 5[/tex], [tex]x_{2} = x_{o}[/tex] and [tex]x_{1} = \frac{1}{2}\cdot x_{o}[/tex], then the value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is:

[tex]\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}[/tex]

[tex]\frac{5}{y} = 8[/tex]

[tex]y = \frac{5}{8}[/tex]

The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].

Drag numbers into the blanks to rewrite the square roots.
square root -5 (it doesnt let me put the symbol. whats the answer?

Answers

Answer:

Step-by-step explanation:

for a lot of math classes they just tell you  "don't take the square root of a negative number"   Then when you see this   [tex]\sqrt{-5}[/tex]  it looks all wrong.  But,  just think of the two things under the radical as

[tex]\sqrt{-1*5}[/tex]

now, take the  -1 out of the square root as   "  i  "

i[tex]\sqrt{5}[/tex]

and if you want to put it into correct complex form

0 + i[tex]\sqrt{5}[/tex]

please help school is literally about to end

Answers

Answer:

192 is the answer

Step-by-step explanation:

Answer:

SA = 272 sq in

Step-by-step explanation:

SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)

= 2(16) + 2(96) + 2(24)

= 32 + 192 + 48

= 272 sq in

What is the slope of a line perpendicular to the line whose equation is 2x + 2y = 28. Fully simplify your answer.​

Answers

2x+2y=28
Change equation to y= mx+b format
2y=-2x+28
Divide everything by 2
y=x+14
The slope of the line perpendicular to above equation is -1

Or
y=-x+14

kelly will roll a number cube labeled 1 to 6. what is the probability kelly will roll a number greater than 3?

Answers

Answer:

%50

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex], 50%, or 0.5.

Step-by-step explanation:

Well, there are six possible outcomes, and we are looking for the probability of getting a number greater than three. There are three possible outcomes of getting a number greater than three, which makes the probability of getting the desired outcome look somewhat like the following fraction:

[tex]\frac{3}{6}[/tex] (or simplified, [tex]\frac{1}{2}[/tex])

Anyways, now that we have the outcome in the form of a fraction, we can convert it to percent (50%) or decimal form (0.5).

Hope this wasn't too complicated! Feel free to let me know in the comments if you want me to elaborate. ^-^


Is this relation a function?*

{(5, 1),(-1,5),(-5, 1), (1,-5), (5,3)}

A. Function

B. Not a function

Answers

Answer:

B. Not a function

Step-by-step explanation:

A drawer contains 4 blue socks, 8 black socks, and 10 white
socks. If one sock is taken out of the drawer without looking,
find the probability that each of the following will be drawn.
Express each ratio as a fraction in simplest form.

Answers

Answer:

7: 2/11

8: 4/11

9: 5/11

10: 6/11

11: 9/11

12: 7/11

A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790

Answers

Answer: D. 0.658

Step-by-step explanation:

A randomly selected student would be from either of the high schools so both high schools need to be taken into account.

The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:

= Number of students from both high schools that are satisfied / Total number of students in both high schools

= 79 / 120

= 0.658

Multiply. Round to two decimal places


____ x 14.32 = 554.76

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]_____ x 14.32 = 554.76[/tex]

Let's take '____' as x

[tex]x \times 14.32 = 554.76 \\ x = \frac{554.76}{14.32} \\ x = \frac{554.76 \times 100}{14.32 \times 100} \\ x = \frac{55476}{1432} \\ x = 38.74[/tex]

⎆ The answer of ____ x 14.32 = 554.76 in 2 decimal places will be ⇻38.74

NOTE:

We multiplied the fraction × 100 to remove the decimal points so that it'll be easier to calculate.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Find the surface area of a cylinder with a height of 8m and a base diameter of 12m .

Answers

Answer: A≈527.79m²

Step-by-step explanation:

HOPE THIS HELPS

15 POINTS**
Write an explicit formula an, the nth term of the sequence 27,-3,-33,-63

Answers

Answer:

The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.

Step-by-step explanation:

This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)

T1 = 27

T2 = -3 = T1 - 30 = 27 - 30

T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)

T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)

In general, the nth term of this sequence:

S(n) = 27 - 30X(n-1)

Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.

Answers

Answer:

43.98

Step-by-step explanation:

i was doing a problem like that on my math paper as well

Express as a trinomial.

Answers

Answer:

[tex]x^2+2x+1[/tex]

Step-by-step explanation:

When given the following trinomial,

[tex](x+1)(x+1)[/tex]

Distribute, multiply every term in one of the parenthesis by every term in the other,

[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]

Simplify,

[tex]x^2+x+x+1[/tex]

Combine like terms

[tex]x^2+2x+1[/tex]

Answer:

Step-by-step explanation:

Use Foil

f: x * x = x^2

o: x * 1 = x

i: x * 1 = x

l: 1 * 1

x^2 + x + x + 1

x^2 + 2x + 1

Trading 10 points for air :)

I'm under I know....​

Answers

Answer:

what kind of air

Step-by-step explanation:

Choose the best definition for the given term:

Domain

Answers

The domain of a function is the set of all possible inputs for the function.

For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.

Answers

9514 1404 393

Answer:

  10, (x+4), (x -1)

Step-by-step explanation:

The given volume expression can be factored as ...

  V = 10x² +30x -40

  = 10(x² +3x -4)

  = 10(x +4)(x -1)

The expressions representing length, width, and height might be ...

  10, (x+4), (x -1)

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

Answers

Answer:

1. 6

2. 6

3. 10

4. 600

Step-by-step explanation:

edg :)

The complete table is given below.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).

The functions are given below.

f(x) = 2x

g(x) = 3x

h(x) = f(x) × g(x) = 6x²

Complete the table with the missing side lengths and areas of the deck.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

PLSSS ASAP HELP!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x height.

Answers

Given:

A parallelogram with base c, height h and other side a.

[tex]a=55.83[/tex] yds

[tex]c=100[/tex] yds

[tex]h=52[/tex] yds

To find:

The area of the parallelogram.

Solution:

The area of a parallelogram is:

[tex]A=base\times height[/tex]

In the given parallelogram, the base is [tex]c=100[/tex] yds and the height is [tex]h=52[/tex] yds. So, the area of the parallelogram is:

[tex]A=100\times 52[/tex]

[tex]A=5200[/tex]

Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.

PLEASE HELP!! STUCK FOR A WHILE

solve for x​

Answers

Use Pythagorean theorem.

Hence
(5)= 2+x^2
X^2 = 5-2
X^2 = 3
X = 1.732

NEED HELP ASAP!!!! MATH SUCKS :')​

Answers

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)

Answers

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

What is 75.4 in expanded form

Answers

Answer: 75.4 =

 70  

+ 5  

+   0.4

Step-by-step explanation:

Hope this helps :)

Which OF THESE IS THE QUADRATIC PARENT FUNCTION!?!
A. f(x)=x
B. f(x)2^×
C. f(x)=lxl
D. f(x)=x^2​

Answers

Answer:

D. f(x)=x^2​

Step-by-step explanation:

Other Questions
Rebecca asked the people in her homeroom class what their favorite type of pizza was. If 18out of 25 people said pepperoni, how many people would you expect to choose pepperoniout of 350 people? What are the solutions of the compound inequality? Graph the solutions.2x-27 What should I pack to run away I'm really debating if I want to do it. My mom forced me to stay home this whole year and now my grades are the 6th letter of the alphabet and even though the school told her it was mandatory for me to go back, she told them no. Please tell me what to pack! III NEEDDD HEELLLPPPPPPPPPP!!!!!!!!! IVE TRIED ASKING THIS TWICE AND IVE BEEN WAISTING POINNNTTSSSSS!!!!!! WILLL MARK BRAINLIESTTTTT PLLLEEAASSEE HEELLLLPPPP!!!!!!!!Select the expressions (more than one) that are polynomials.options:2x^3+2x+4x^2/7+1x^3+4x6xx^3+4x^2 what effects did communism have at home during the cold war Why does the start of Phillip II reign mark the beginning of the Spanish golden age?Why did Spain decline? Find the value of x. I need some help Please help.A patient has 0.0000075 gram of iron in 1 liter of blood. The normal level is between 6*10^(-7) gram and 1.6*10^(-5) gram. Is the patient's iron level normal? Write the patient's amount of iron in scientific notation. Which of the following is an example of a good? Please help. What is most likely effect of a drought on a population of frogs that live in shallow swamp? 3. Which expression is equivalent to 603 + 8.72 - 150 - 20? Which question would BEST explain why scientists now use Model 2 to describe Earths position in the solar system?A. Did new planets form and change the relative position of the sun and Earth?B. Did the suns position change over time in the solar system?C. Did new evidence change our understanding of the position of the Earth and sun?D. Did the position of the Earth and sun change over time in the solar system? what is pressure?SI unit show that the bowtie method can be used to multiply (2x -27)(-x +15) 7 points for each answer plus brainliest The length of days and nights at any location on Earth depends on the Earth's position with respect to the sun. Esmeraldas is at latitude 0100'N. Which of these statements best describes the length of days and nights at Esmeraldas in the months of January and June? (1 point)The days are longer in January and shorter in June.The days are longer in June and shorter in January.The lengths of days and nights are almost same in June and January.The lengths of days are shorter and nights are longer in both June and January. The product of two positive integer numbers is 40 and the sum of the same two numbers is 13. What is the interquartile range of the box-and-whisker plot shown?A.) 42B.) 74C.) 15D.) 27 Gary drew a rectangle with a perimeter of 20 inches. Then he tried to draw a square with a perimeter of 20 inches.Select the dimensions of the rectangle drawing.A 20 inches by 1 inchB 20 inches by 9 inchesC 1 inch by 9 inchesD 9 inches by 5 inchesSelect the dimensions of the square drawing.A 5 inches by 5 inchesB 1 inch by 1 inchC 9 inches by 9 inchesD 20 inches by 20 inches If your civil rights were threatened, how would you protect them? Check all that apply.participate in a marchpost comments on social media websitesgive a public speechput up posters around townwrite a letter to a magazine or newspaperstop supporting businesses that will not help what is the surface area of 8ft 3ft 3ft 3ft