which similarity theorem can be used to prove the two triangles below similar ?
A: sss similarity theorem
B. aa similarity theorem
C. sas similarity theorem
D. not similar
Answers
The similarity theorem that proves the two given triangles are similar is: B. AA similarity theorem.
Recall:
The angle-angle similarity theorem (AA) states that if two angles in one triangle are of the same measure with two corresponding angles in another triangle, both triangles are similar to each other.
In the image given:
[tex]\angle F[/tex] in [tex]\triangle ETF[/tex] is congruent to [tex]\angle U[/tex] in [tex]\triangle VTU[/tex] ([tex]\angle F = \angle U = 78[/tex])
[tex]\angle ETF = \angle VTU[/tex] (vertical angles are equal)
This implies that two angles in [tex]\triangle ETF[/tex] are congruent to two corresponding angles in [tex]\triangle VTU[/tex].
Therefore, both triangles can be proven to be similar by the angle-angle similarity theorem (AA).
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Related Questions
Work out the difference, in minutes, between 1 hour 50 minutes and 1 3/4 hours
Answers
Answer:
Step-by-step explanation:
1 hour nd 50 = 60 min +50 min= 110 minutes
1 hour and 3/4= 60/4= 15 x 3= 45
1 hour and 3/4= 60 min + 45 min= 105 minutes
110- 105= 5 minutes difference
5 minutes
1/4 of an hour is 15 minutes so times that by three you get 45 minutes. 50 minutes - 45 minutes = 5 minutes,
Given the rule an=-3n+1 find the following:
a1=
a2=
a3=
a10=
The common difference =
Answers
Answer:
the common difference is -1/20
The sum of two integers is 23 and the positive difference of the same two integers is 13. What is the product of these two integers?
Answers
Answer:
jjrbhss3
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
x+y=23
x-y=13
2x=23+13
2x=36
x=18
18+y=36
90
c/2 = negative 3
pls helppp
Answers
Answer:
c= -6
Step-by-step explanation:
I hoped this helped!
Correct me if I'm wrong!
Which measurement is closest to the circumference of a circle with an area of 36 square feet?
A
12.0 feet
B
21.3 feet
С
103.2 feet
D
113.0 feet
Answers
The measurement of the circumference of a circle is 21.3 ft.
What is Circumference of Circle?The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
Here, given area of circle = 36 ft²
Area of Circle = πr²
36 = 3.14 X r²
r² = 11.46
r = 3.38 ft.
Circumference of Circle = 2πr
= 2 X 3.14 X 3.38
= 21.25 ft. ≈ 21.3 feet
Thus, the measurement of the circumference of a circle is 21.3 ft.
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what is (-4)(-1)(-3)
Answers
Answer:
-12
Step-by-step explanation:
multiplication
Answer:
-12
Step-by-step explanation:
-4 x -1 x -3
4 x -3
=-12
3. a. Carla buys a minivan for $20,500. She writes a proportion to find the selling price is S Is Carla's method correct? Explain.
Answers
Answer:
Yes Carla is correct.
Step-by-step explanation:
Tuerying ue correct expression
Ken predicts that the average temperature will be -5°C in December. If he predicts the temperature will rise 6°C in
January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for
those months? Check all that apply.
[6 + 3] + 5 = 14
0 (-5) + [3 + 6) = -4
[(-5)+(-3)] + 6 = -2
5+[(-6) + (-3)] = -4
[6 + (-5)] +(-3) = -2
D[(-5) +6] +(-3) = 4
Answers
A recipe that makes 8 cups of limeade uses 2 cups of lime juice.
Describe the related ratio 2:8 using ratio language. Does the ratio involve only parts, or does it involve a part and the whole?
Answers
Answer:
For every 2 cups of lime juice, the recipe makes 8 cups of limeade; a part and the whole.
Step-by-step explanation:
The ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.
and, the ratio involve a part and the whole.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
A recipe that makes 8 cups of limeade uses 2 cups of lime juice.
and, ratio = 2:8
Here, the ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.
and, the ratio involve a part and the whole.
Learn more about ratio here:
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Marsha swam 400 meters in 6 minutes and 12 seconds. Convert that time to minutes
Answers
Answer 6.2 minutes
Step-by-step explanation:
convert it into a decimal
neww frienns? girls rr boys 15+
Answers
yes
but actually
n o
Write the word sentence as an equation. Enter your equation without any spaces.
The difference between a number C and 17 is 3.
Answers
Answer:
jayfeather friend me
Step-by-step explanation:
Creating an equation with no solutions (video)
Khan Academy · Khan Academy
Video result for sentence as an equation. Enter your equation without any spaces.The difference between a number3:09
Writing basic expressions word problems (video)
Khan Academy · Khan Academy
Video result for sentence as an equation. Enter your equation without any spaces.The difference between a number2:02
Two-step equation word problem: garden (video)
Khan Academy · Khan Academy
Look at the picture
Answers
Answer:
C.
Step-by-step explanation:
use the pythogorean theorem a^2 + b^2 = c^2
Answer:
[tex]3cm,5cm,9cm[/tex]
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]9 { = }^{?} \sqrt{ {3}^{2} + {5}^{2} } [/tex]
[tex]9 { = }^{?} \sqrt{9 + 25} [/tex]
[tex]9 { = }^{?} \sqrt{34} [/tex]
[tex]9 \neq 5.8309518948453[/tex]
[tex]3cm,5cm,9cm[/tex]
Factor:
522
-
28x + 32
Answers
Answer:
it is A or D but i pick D
Step-by-step explanation:
Consider Carmen’s plans.
Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.
Carmen used her knowledge of angle relationships to find the value of x in the diagram.
What is the value of x?
x = 5
x = 9
x = 13
x = 16
Answers
13
Explanation:
Answer:
9
Step-by-step explanation:
just did the assignment
-8 + x - 4 + 9x
Need help
Answers
Answer:
Step-by-step explanation:
-8+x-4+9x = -8-4+x+9x
= -12+10x
PLEASE MARK BRAINLIEST.
Please help!! I will be marking brainliest
Answers
Answer:
DVDs= $16.2
CDs = $11.9
Cassettes = $11.4
Step-by-step explanation:
Which is bigger 100 or 10%
Answers
Answer: 10%
Step-by-step explanation:
even tho 100 is a bigger number the amount of 10% is 10 times bigger than 100%
10% in number form is .1
soooooooo
100 is def bigger lel
Solve the system of equations by the substitution method.
X+ 10y = 17
2x+6y= 6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair)
O B. There are infinitely many solutions.
O C. There is no solution.
Answers
Answer:
Step-by-step explanation:
-2x - 20y = -34
2x + 6y = 6
-14y = - 28
y = 2
x + 20 = 17
x = -3
(-3,2)
The answer is A
Maia says that the lines in this system of linear eqations are parallel. is she correct? explain.
2x+y=14
2y+4x=14
Answers
Answer:
yes, they are parallel because their slopes are the same
Step-by-step explanation:
if you put each equation into slope-intercept form and compare slopes you can see whether they are parallel or not
2x + y = 14
y = -2x + 14
slope = -2
2y + 4x = 14
2y = -4x + 14
slope = -4/2, which simplifies to be -2
please help me I will mark brainiest
Answers
Answer:
hope this helps
Step-by-step explanation:
Page 5. 5, 6, 7, 8
Page 6. 12.5
Page 7. 4(3x)
Page 8. 0, 4
i don't know number 7
Answer:
9, 10
12.5
4 + 3x
0, 4
Step-by-step explanation:
5. This just looks to be some simple multiplication so lets work this out 1 by 1 .
Plugging each answer possible into m this is what we get :
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
8 x 8 = 64
8 x 9 = 72
8 x 10 = 80
Considering these answers lets find which ones are GREATER than 67.
That would be :
72, 80
So your answers would be :
9, 10
6. Alright so this one is asking you what the value of q would be in the equation :
0.5q = 6.25
So to find q we need to see that whatever q is will be multiplied by 0.5. And this answer will be equal to 6.25 due to the = sign. So an easy way of doing this is actually just finding what 6.25 x 2 is. Since q x 0.5 will equal to 6.25, finding 6.25 x 2 is just flipping the equation in a way.
So doing this we get 12.5 which is the very top answer of that question.
8. Alright so it looks like this question is just meant to make your brain turn into a raisin when you read it, but it isn't that hard.
Lets lay everything out :
Joe is 4 more than triple the age of luke.
x represents lukes age (x = Lukes age)
And we are finding the expression that shows joes age.
Alright so looking at the problem lets look at the key word MORE. More means addition in the math world usually so lets go off that. Lucky for you that's all you need cause you only have one addition answer here but lets still go over it why don't we.
4 + 3x
4 represents the "4 MORE than lukes age"
Then we have 3. The 3 represents the "triple the age of luke"
And finally x represents Lukes age.
So if we do 3 multiplied by x (Lukes age) we get triple lukes age :
4 + (Triple lukes age)
So now we just add the 4 and it would be in theory :
Triple Lukes age + 4 = Joes age. And that's all they want.
And then finally we have 7.
This is one fairly simple just another one meant to confused you a bit it seems.
You're basically taking the variable which is q and adding +2 to it and checking to see if the sum of that is less than 7.
So lets do that with the answers given
We will just input the number where q is in the equation and then check! :
2 + 0 < 7
2 plus 0 is 2, and is less than 7!
2 + 4 < 7
2 plus 4 is 6, and is less than 7!
2 + 5 < 7
2 plus 5 is 7. It would be correct if there was an equal sign or less than or equal to sign. But there is not so this is incorrect.
2 + 7 < 7
2 plus 7 is 9, which is greater than 7.
2 + 9 < 7
2 plus 9 is 11, which is greater than 7.
So lets look at what we plugged in that is less than (<) 7 and those are our answers! :
0 , 4
The others are either equal or greater than 7 which is not what we are looking for. So the only two correct answers here are 0, 4.
I hope this helps you! If you have any questions feel free to ask them in the comments and I will help you the best I can! :)
A line passes through the point (-9,8) and has a slope of -4/3. Write an equation in point slope form for this line
Answers
Answer:
y-8=-4/3(x+9)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4/3(x-(-9))
y-8=-4/3(x+9)
Which point on the coordinate plane is a reflection of point A across the y-axis?
Answers
Rewrite each equation, then graph
the line
6x + 3y = 12
Answers
i need the x intercepts for (x+3)(x + 7) = 0
Answers
Answer:
-3, -7
Step-by-step explanation:
either x + 3 = 0 --> x = -3
or x + 7 = 0 --> x = -7
Answer:
(-3,0) and (-7,0)
Step-by-step explanation:
What is the domain of y = tan x? A. (–∞, ∞) B. C. all D. all
Answers
Given:
The function is
[tex]y=\tan x[/tex]
To find:
The domain of the given function.
Solution:
We know that, domain is the set of x-values or input values.
We have,
[tex]y=\tan x[/tex]
[tex]y=\dfrac{\sin x}{\cos x}[/tex]
The functions sin x and cos x are defined for all real values of x. So, the function tan x is defined for all real values of x except those value for which cos x = 0.
So, domain is [tex]-\infty<x<\infty, x\neq \dfrac{\pi}{2}+n\pi[/tex].
Note: All options are incorrect.
Answer:
C
Step-by-step explanation:
all x≠pi/2+pi n
If your insurance plan is $15,000 and you pay for 20%, how much do you
pay monthly? *
2 poir
$250
$3,000
$57.69
$300
Answers
Answer: 250
Step-by-step explanation:
20% of 15,000 is 3,000
3,000/12=250
Answer:
$3000 Per Month
Step-by-step explanation:
Hi there,
How I like to solve these is first take the total number (15,000) and divide it by 100 to then find how much 1% of 15,000 is.
So :
15,000 / 100
=
150
Now we know :
1% = $150
We need to find 20% now so all we do is multiply.
150 x 20
($150 x 20%)
= $3,000 Per Month
I hope this helps!
If you have any questions or concerns be sure to comment or message me ! :)
EDIT : The other person is most likely right. I am 17 and dont have insurance yet Lol
Which expression is equivalent to (x^4/3x^2/3)^1/3
Answers
Answer:
x 8/9
Step-by-step explanation:
Answer: x^2/3 or C
Step-by-step explanation:
edge 2021
PLEASE HELP!! THIS IS DUE IN 20 MINUTES AND I CANT FIGURE IT OUT!!
Given the following proportion, solve for the length of the triangle "n".
n/4 = 12/(n-2)
Answers
Answer:
n = 8, -6
Step-by-step explanation:
If this does not help, let me know and I can edit my answer
PLEASE HELP ON ALL, I WILL MARK BRAINLY
Answers
Step-by-step explanation:
4.
3pounds for $6.99
a.
1 pounds =$6.99/3=$2.33
b.
10 pounds =10×$2.33=$23.3
10.
area right triangle =1/2 bh=1/2 ×{50×30}=750mm²