Drag and drop a phrase to make the statement true. Triangles ABC and DEF are Response area. Two triangles, ABC and DEF. For triangle ABC, angle B is eighty degrees and angle C is sixty degrees. For triangle DEF, angle D is forty degrees and angle E is eighty degrees.

Answers

Answer 1

Answer:

similar

Step-by-step explanation:

i took the test and it was right.

Answer 2

Triangles ABC and DEF specified are similar triangles by Angle-Angle Similarity.

What is Angle-Angle similarity for two triangles?

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

Sum of all angles of a triangle is 180 degrees.

For the triangle ABC, two of its angles are of 80 and 60 degrees, let its third angle be of D degrees, then:

[tex]80 + 60 + D= 180\\D = 180 - 60 - 80 = 40\text{\: \: (in degrees)}[/tex]

Since, triangle DEF also has two of its angles as 80 degrees and 40 degrees, thus, both the triangles ABC and DEF similar.

Learn more about similar triangles here:

https://brainly.com/question/11929676


Related Questions

Which is the equivalent expression, please help!

Answers

Answer:

The first choice

Step-by-step explanation:

The base of a rectangular prism has a length of 36 centimeters and a width of 29 centimeters. If the volume of the rectangular prism is 7,830 cubic centimeters, how long is the HEIGHT of the prism?

Answers

Answer:

7.5

Step-by-step explanation:

you think about the way you would normally solve it but a bit backwards therefore multiply 36x29 and that equals 1,044 and divide that from 7,830 and thats 7.5 multiply to check

write the sentence as an inequality. A number x is greater than 6 but less than 10. ​

Answers

Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

A) 96
B) 59
C) 128
D) 102

Answers

No link needed...::answer is right here....A.96 because the two angles are the same

Find the area of the trapezoid 10ft, 7.5ft, and 13.5ft

Answers

If I use 7.5 and 13.5 as the bases and 10 as the height, the area is 105

EXPLANATION:
1/2h x sum of bases
1/2(10) x (7.5 + 13.5)
5 x 21
105

ANSWER:
105

The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?

Answers

Answer:

12 options

Step-by-step explanation:

Blue

Blue and Lion

Blue and Bear

Blue and Porpoise

Black

Black and Lion

Black and Bear

Black and Porpoise

Brown

Brown and Lion

Brown and Bear

Brown and Porpoise

Grey

Grey and Lion

Grey and Bear

Grey and Porpoise

There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from

Find the unit cost if 7 dozen carnations cost $10.15. Show work.

Answers

i need below help!!!

x and y are supplementary angles. y measures 97 What is the measure of x?​

Answers

Answer:

83

Step-by-step explanation:

supplementary angles have sum of 180

Answer: 83

Supplementary angle =180 degree

180-97=83

72,-36,18,-9 find the common ratio​

Answers

I’m not sure about the answer but there is app called Socratic can help you out

The circumference of a circle is 604 cm. What is the diameter of the circle?

Answers

Step-by-step explanation:

The Circumference is:

[tex]c = 2\pi \: r[/tex]

Radius r is:

[tex]r = \frac{d}{2} [/tex]

So,

[tex]c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm[/tex]

Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?

A. 0.89
B. 1.6
C. 3.84
D. 3.9

Answers

Answer:

0.89

Step-by-step explanation:

Trust

Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.

Answers

4y+5. Btw it’s a linear equation, the y intercept is 5 and the slope is 4

Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see

Answers

Answer:

Step-by-step explanation:

a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.

Answer:

There is already another answer:

line graph or bar graph because it shows you what day of the week you sell more lemonade.

Step-by-step explanation:

5.
Convert each of the following fractions to a decimal using long division.
13
32
A.
B.
0
8

Answers

wait i don’t understand how they are fractions. lmk

h (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t)) ​

Answers

Answer:

[tex]h(g(t))=8t+8[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]h(t)=2t-2\text{ and } g(t)=4t+5[/tex]

And we want to find:

[tex]h(g(t))[/tex]

So, by substitution, we acquire:

[tex]h(g(t))=2(4t+5)-2[/tex]

Distribute:

[tex]h(g(t))=8t+10-2[/tex]

Simplify:

[tex]h(g(t))=8t+8[/tex]

Convert 5/3 into a ratio

Answers

Answer:

5:3

Step-by-step explanation:

step one: reduce the fraction

(since 5/3 is a reduced as it can get we can 'skip' this step)

step two: rewrite as a ratio

5/3  

=5 : 3

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

[tex](2/3)^{3}[/tex]

Answers

Answer:

[tex]\frac{8}{27}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}[/tex]

The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)

A. $360

B. $280

C. $64

D. $225

Answers

Answer:

D. 225

Step-by-step explanation:

Choose the equation that best describes the image.

Answers

Answer:

D

Step-by-step explanation:

your welcome!!!!!!! :D :)


The functions f and g are defined as follows.
g(x) = -2x3-5
f(x) = - 4x + 2
Find f (6) and g(-3)
Simplify your answers as much as possible.

Answers

Answer:

f(6) = -22, and g(-3) = 49

Step-by-step explanation:

f(x) = -4x + 2

f(6) = -4(6) + 2

f(6) = -24 + 2

f(6) = -22

I assume the 3 in g(x) = -2x3 -5 is cubed

g(-3) = -2(-3)^3 - 5

g(-3) = -2(-27) - 5

g(-3) = 54 - 5

g(-3) = 49

Write an exponential function =for a graph that passes through (2,1) and (3,10). Ill give you whatever please help

Answers

Answer:

[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]

Step-by-step explanation:

Use coordinates (2,1) and 3,10

The exponential equation is

[tex]y = a \times b {}^{x} [/tex]

Plug in the x and y values.xfor both functions of coordinates.

[tex]1 = a \times b {}^{2} [/tex]

[tex]10 = a \times b {}^{3} [/tex]

Divide the equation with the larger exponet by the other equation.

[tex]10 = b[/tex]

Substitute that in for one of the equations.

[tex]10 = a \times 10 {}^{3} [/tex]

Solve for a.

[tex]10 = a \times 1000[/tex]

[tex] \frac{1}{100} = a[/tex]

So our exponetial equation is

[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]

7
1. Represent these numbers on the number line. (i)7÷4​

Answers

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

The following data points represent the number of
patients that were seen by each doctor at Brodin Medical
Center last week.
Sort the data from least to greatest.
4 9
17 7 12
11
5
Find the median number of patients.

Answers

Answer: 9

Step-by-step explanation: 9 Will Be The Median Number Of Patients.

What is the least amount of green ooze any one contestant carried? ​

Answers

Answer:

Step-by-step explanation:

Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:

0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:

0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.

Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.

What in the mean, the range, the median, the mode. For the numbers 480, 296,480, 384, 368, 352, 416, 440.
Plz help me I need these answers asap

Answers

Answer:

Mean is 402

Median is 400

Mode is 480

Range is 184

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean: 402

296, 352,368, 384, 416, 440, 480, 480

Range: 184

Median: 592

Mode: 480

The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dollars

Answers

Answer:

900

Step-by-step explanation:

135/7.5= x/50

cross multiply

7.5x=6750

x=900

$50/$7.50=6.667
6.667x135=900 Mexican pesos

(7x-11)+(6x-5)+(3x+6)+(4x+7)=

Answers

the answer is 20x - 3

have a wonderful day! :)

yo can someone please help me out. school is rlly stressful and i just need help. the question is “find the perimeter and area of each figure. use 3.14 for pi when needed.” the work is on composite figures. tysm <3

Answers

These will be the answers

giving brainliest!! easy*

Answers

Answer:

4521.6

Step-by-step explanation:

pi*r^2*h = pi*144*10 = 1440 pi which is roughly 4521.6

Answer:

979.68

Step-by-step explanation:

A penny is dropped from the observation deck at the top of The Willis Tower in Chicago, IL. The height of the penny at any time is given by the equation H = 1450 – 16t2, where H is the height of the penny in feet and t is the time measured in seconds. How long will it take for the penny to hit the ground? Round your answer to the hundredths place.

Answers

Answer:B

Step-by-step explanation:because you need to add

Other Questions
Raffle tickets cost $36 for 3 tickets.a. What is the price of 1 ticket? There are 4 green marbles and 7 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble?7/114/114/77/4 The principle of federalism deals with the division of power between the A. foreign and domesticB. The Democrats and the RepublicansC. national and state governmentsD. the FBI and the CIA European exploration really took off after Marco Polo brought back Chinese goods from Asia.Please select the best answer from the choices providedTF Help me please. No virus links! And marking brainliest.Nelson is writing an informative text about the causes and outcomes of the Boer War in South Africa. Which of the following search terms will provide the most relevant results for his topic?A. dates of Boer WarB. causes of Boer WarC. Boer War in South AfricaD. common outcomes of war Cell city diagram feature components What effect did the Declaration of Independence have on slavery in the late1700s?A. It helped some Americans realize that slavery was not fair.B. It made the slave trade illegal in the United States.C. It created support for British laws that abolished slavery.D. It created laws to ban slavery in the North.O Find the value of x (only answer if you're sure) Luckily, Texas rivers were deep enough for boats to travel on them. Therefore, many rivers in Texas were used for shipping.O TrueO False Find the line of symmetry.f(x) = -2x2 + 12x - 20 Which situation is the best example of secondary succession?A) An organism survives a difficult winterB) The population in an area remains the sameC) One species replaces another species in an ecosystem after a forest fire D) Each of several species uses the same amount of resources What arguments did Frederick Douglass and William Lloyd Garrison make when speaking out against slavery? What comes to mind when you hear the term "nationalism"? 1. What were the benefits of child labor? 2. What were the drawbacks of child labor? Plants use water to make sugar during the process of transpiration true or false please help out thanks Which statement describes a characteristic of Early Renaissance art?Figures have unnatural proportion to evoke an emotional response.It focuses on religious subjects because the church was the only patron.It depicts the beauty of the human form and nuances of human expression.Sculpture is connected to an architectural framework for added support. -9,7 with a rotation of 180 Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain. An example of conservation of angular momentum is jumping on a Merry-Go-Round. Watch this video (it starts part way through but the only thing you miss is the people pushing the Merry-Go-Round) to see someone jumping on a Merry-Gr-Round in motion like this problem. You can model the Merry-Go-Round as a solid disk with a radius of 2.70 m and a mass of 77.0 kg. Initially the Merry-Go-Round has an angular velocity 7.40 radians / second. Then the person jumps on and change the Moment of Inertia of the system. The person lands on the outer edge of the Merry-Go-Round and has a mass of 58.0 kg. What is the final angular velocity of the system after the person jumps on Need help please help.