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).
Learn more about angle-angle similarity theorem (AA) here:
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Related Questions
The area of a rectangular trampoline is 135 ft. The length of the trampoline is 6 ft
greater than the width of the trampoline. This situation can be represented by the
equation w2 +6w
135 = 0.
What is the width of the trampoline, in feet?
5 feet
15 feet
6 feet
9 feet
Answers
The width of the given trampoline is 9 feet, and which area is 135 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The equation w² +6w -135 = 0 can be factored as (w+15)(w-9) = 0.
Therefore, the solutions for w are w = -15 or w=9.
Since the width of the trampoline cannot be negative, we can conclude that the width of the trampoline is 9 feet.
To confirm this, we can calculate the length of the trampoline using the given information that the length is 6 feet greater than the width:
length = width + 6 = 9 + 6 = 15 feet
Then we can verify that the area is indeed 135 ft²:
area = length x width = 15 x 9 = 135 ft²
Therefore, the width of the trampoline is 9 feet.
Learn more about the Area of the rectangle here:
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Evaluate the expression for b = 22.
–3b =
Answers
Answer:
-66
Step-by-step explanation:
-3b=-3×22=-66
...........
-3 • 22 = -66 < how I did it
Yolo
Peanuts worth $2.25 a pound were mixed with cashews worth $3.25 a pound to produce a mixture worth $2.65 a pound. How many pounds of each are needed to produce 35pounds of mixture?
Answers
Answer:
14lbs cashews
21lbs peanuts
Step-by-step explanation:
Find the slope and y-intercept of the line in each graph.
Answers
On the right
Slope is negative 2/3 and the intercept is 2
Answer:
1. slope = 2; y-intercept = 3
2. slope = [tex]\frac{-2}{3}[/tex]; y-intercept = 2
let me know if you need the math
Can someone please help me with this expanding brackets problem ? Quick ! I will give 20 points :)
Answers
Step-by-step explanation:
[tex](x + 1)(x - 6)(x + 7)[/tex]
[tex] {x}^{2} - 6x + x - 6(x + 7)[/tex]
[tex] {x}^{3} + 7x - 6 {x}^{2} - 42x + {x}^{2} + 7x - 42[/tex]
[tex] {x}^{3} - 5x {}^{2} - 35x - 42[/tex]
what is 10x 10 x 10 x 10
Answers
Answer:
10^4 or 10000
Step-by-step explanation:
The multiplication of 10x 10 x 10 x 10 is 10000.
We have given that the
10x 10 x 10 x 10
We have to find the multiplication of the above 10.
What is multiplication?Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.
here we have
10 x10=100
10x100=1000
10x1000=10000
Therefore the multiplication of 10x 10 x 10 x 10 is 10000.
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8/9 divided by 5? :’)
Answers
Answer:
8/45 or 0.177...... (the seven continues forever).
Step-by-step explanation:
8/9 ÷ 5
First, turn 5 into a fraction. That will be 5/1
8/9 ÷ 5/1
When you're dividing fractions, you flip the second fraction and turn the division sign to a mutiplication sign
8/9 ÷ 1/5
8/9 * 1/5
Now you multiply. We will multiply the numerator and then the denominators through since there are no common factors.
8 * 1/9 * 5
8/45
(x+3)^2 = x^2-3(1-x)
Answers
x^2 + 3x + 3x + 9 = x^2 + 3x - 3
x^2 + 6x + 9 = x^2 + 3x - 3
6x + 9 = 3x - 3
3x + 9 = -3
3x = -12
x = -4
Check:
(-4+3)^2 = (-4)^2 - 3(1+4)
(-1)^2 = 16 - 3(5)
1 = 16-15
1 = 1 :)
Questionnnnnnnnnnnn :
Answers
Answer:
where!!
where's the question!!
Please help!!! I will mark someone brainliest!
Answers
Answer:
a = 8, b = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the exponential function
f(x) = a[tex]b^{x}[/tex]
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 8
f(x) = 8[tex]b^{x}[/tex]
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
[tex]\frac{18}{8}[/tex] = b² , that is
b² = [tex]\frac{9}{4}[/tex] ( take the square root of both sides )
b = [tex]\sqrt{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex]
Thus
f(x) = 8[tex](\frac{3}{2}) ^{x}[/tex]
help. . . . . . . .. . . . . . . . . . . pLease i will give brainliest
Answers
Answer:
2/8
Step-by-step explanation:
Since both have the same denominator its just subtraction. If you have 3 pieces of pie and eat 1, you have 2 left.
3-1=2
Then just add the denominator back on the bottom!
Reminder: This only works if the denominator is the same.
2(y + 3) + 2(4 - y) HELP ME
Answers
Answer:
14
Step-by-step explanation:
1. Distribute
2(y + 3) + 2(4 - y)
2 + 6 + 2(4 − )
2. Rearange terms
2y + 6 + 2(4 - y)
2 + 6 + 2(- + 4)
3. Distribute
2y + 6 + 2(-y - 4)
2y + 6 - 2y + 8
4. Add numbers
2y + 6 - 2y + 8
2y + 14 - 2y
5. Combine like terms
2y + 14 - 2y
14
6. Solution
14
can i be brainiest...
Answer:
the answer is 14y
Step-by-step explanation:
this is because if you multiply 2xy it is 2y then multiply 2x3 and that's 6. Then you add 6+2y and get 8y. Next you multiply 2x4 which is 8 then 2xy which is 2y. Next you subtract 8-2y which is 6y. then you add 6y+8y and you answer is 14y.
The first transformation for this composition is [________], and the second transformation is a translation down and to the right. a 90° rotation about point L a 270° rotation about point L a 90° rotation about point P a 270° rotation about point P
Answers
Answer:
D. A 270-degree rotation about point P
Step-by-step explanation:
I hope this helps!!!
Which of the following is a quadratic function?
f(x) = 0x + 3x - 6
f(x) = 2x + 5
f(x) = 3 - 4x^2
f(x) = 2^x
Answers
Answer:
f(x) = 3 - 4x^2
Step-by-step explanation:
Quadratic Equation form: f(x) = ax² + bx + c
Quadratic function has a x (variable) with and exponent of 2.
They also leave a curve line on a coordinate plane. As you can see on the picture. ↓
Which of these two triangles appear to be similar
Answers
Answer:
Triangle I and II
Step-by-step explanation:
Hope my solution helps you and don't forget to help me with my maths questions....Check my questions..
Answer:
I and II
Step-by-step explanation:
the first one because the one on the far left is just smaller than the one in the middle
1. Evaluate each algebraic expression.
c. 3b - 5
for b = -2
for b = 3
for b = 9
I need the answer
Answers
Answer:
-11, 4, and 22
Step-by-step explanation:
Expression: 3b-5
when b=-2
Expression: 3(-2)-5=-11
When b=3
Expre; 3(3)-5=4
When b=9
Expre; 3(9)-5=22
Sam bought a football jersey on sale for 40% off. He paid $30, and it was originally priced at $45 was he charged the correct amount
Answers
Answer:
No, because he is being charged more than what the discount is.
45/40=18 $18 $45-$18=$27 He should be charged $27.
my question is in the screenshot
Answers
Answer:
C
Step-by-step explanation:
5 x 3 = 15 and 15 x 2 = 30 ft
5g - g - 10h + 15 - 3
Answers
5g - g - 10h + 15 - 3
4g - 10h + 15 - 3
4g - 10h + 12
Answer:
4g - 10h + 12
Step-by-step explanation:
5g - g - 10h + 15 - 3
4g - 10h + 12
Jim can make 2 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can he make with
5 cups of flour?
Answers
which is greater -1/4 or -1/2
Answers
Answer:
-1/4 > -1/2
Step-by-step explanation:
-1/2 = -2/4
and -1/4 is greater than -2/4
20 POINTS
WILL MARK BRAINLIEST
SOLVE THESE PLEASE
Answers
b) x = 2, y = -1
2a) x = 2, y = 1
b) x = -0.3, y = 2.4
3 don’t know sorry
4a) x = -7, y = 3
b) x = -3.2, y = -23.8
Answer:
1a) x = 5, y = 2
b) x = 2, y = -1
2a) x = 2, y = 1
b) x = -0.3, y = 2.4
3 don’t know sorry
4a) x = -7, y = 3
b) x = -3.2, y = -23.8
Step-by-step explanation:
Fill in the blanks with NUMERICAL ANSWERS ONLY. Round all decimals to the nearest hundredth.
Find the hemisphere’s diameter if its radius is 6 cm.
centimeters
Find the hemisphere’s diameter if its radius is 9.008 ft.
feet
Find the hemisphere’s radius if its diameter is 6 cm.
centimeters
Find the hemisphere’s radius if its diameter is 9.008 ft.
Answers
Answer:
wdym
Step-by-step explanation:
A high school teacher gives three regular exams during a semester and one final exam at the end of the semester. A student’s final grade is found by taking of the student’s three regular exam scores and then adding 40% of the student’s final exam score. Sophia earned scores of 78, 92, and 80 on the three regular exams and a score of 90 on the final exam. What is Sophia’s final grade?
Answers
To get an average score of 89% (out of four exams), a total of 4*89%=356% is needed, so the maximum required for the 4th test is 356-(75+97+60)=124, which is impossible.
So the next exam grade must range between 88 and 100 to get a grade b in the class.
Hoped I help! Mark brainly it would help<3
solve this plz????? thx
Answers
Answer:
AOD i think
Step-by-step explanation:
Answer:
angle aob
Step-by-step explanation:
Ok these are the question I NEED help on (don’t show work
Answers
Answer:
Step-by-step explanation:
6. H - (-2,2)
14. F - Quadrant IV
15. B - All points have y > 1
Answer:
6. H (-2, 2)
14. F (Quadrant IV)
15. B (All points have y [tex]\geq[/tex] 1)
Step-by-step explanation:
Picture below shows that all points are in y [tex]\geq[/tex] 1 (for number 15)
What is the value of x in the equation 3/4 x + 24 = x − 12 ?
Answers
Answer:
x = 144
Step-by-step explanation:
3/4x + 24 = x - 12
3/4x - x = -12 - 24
3/4x - 4/4x = -36
-1/4x = -36
x = -36/-1/4
x = 144
Helppppppppp fasttttttt pleaseeeeeee!!!!!!!
Answers
Answer:
(3x⁷)⁴ = 3⁴x²⁸ = 81x²⁸
because (3x⁷)⁴ = cx^n
=> c = 81
n = 28
Change this Mixed number into a improper fractions: 1 and 4/5
Answers
Answer:
9/5
Step-by-step explanation:
What I do is look at the bottom number and add that to the top number how ever many time the whole number is.
The mixed number to the equation would be 9/5
PLEASE HELP ME! I WILL MARK BRAINLIEST IF YOU ARE CORRECT
Answers
Answer:
B
Step-by-step explanation:
The value of the polynomial for x = 3 is the value of P(3)
P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B
