Answer:
Step-by-step explanation:
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
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:
https://brainly.com/question/11289488
Kate went to the store and bought some pants for $22 and 4 shirts. She spent a total of $52. How much did each shirt cost? Write an equation to represent this situation.
Answer:
$7.5
$22 + 4x = 52
Step-by-step explanation:
Given that:
Cost of pants = $22
Number of shirts = 4
Total spent = $52
Let the cost per shirt = x
Cost of pants + cost of shirts = total
$22 + 4x = 52
4x = 52 - 22
4x = 30
x = 30 / 4
x = 7.5
Cost per shirt = $7.5
Nine times a number ?
Answer:
9x
Step-by-step explanation:
In this case, 9 is being multiplied by a variable (x).
Hope this helped!! :)
Stay safe and have a wonderful day/afternoon/night!!!!
Brainliest?!?!
The preimeter of the rectangle is 154 feet.The length of the rectangle is 55 feet.What is the width of the rectangle.
Answer:
22
Step-by-step explanation:
The preimeter is adding all sides together. I took 154-55 twice sense we have four sides of a rectangle and two are lengths. after that i got 44. I then just remembered we had two sides left so divided that by 2 and got 22
PLEASE HELP
Chipotle Burritos are normal distributed with a mean length of 200mm and a standard deviation of 8mm. What is the probability that a burito picked at random is shorter than 190mm?
Answer: 0.1056
Step-by-step explanation:
Given: Chipotle Burritos are normal distributed with
Mean = 200 mm
Standard deviation = 8 mm
Let x be the length of a random burrito.
The probability that a burrito picked at random is shorter than 190mm will be :
[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]
Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.
Suppose that 2000 is invented at a rate of 3.5%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 4 years. Do not round any interminate computations, And round your answer to the nearest cent.
Answer:
$2,297.76
Step-by-step explanation:
Present value: P = 2000
Future value: F
Annual interest rate: r = 3.5% = 0.035
Time: t = 4 years
Number of compounding periods per year: n = 2
[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]
[tex] F = 2000(1 + \dfrac{0.035}{2})^{2 \times 4} [/tex]
[tex] F = 2000(1 + 0.0175)^{8} [/tex]
[tex] F = 2000(1.0175)^{8} [/tex]
[tex] F = 2000(1.148881783) [/tex]
[tex] F = 2297.76 [/tex]
Answer: $2,297.76
Please, help me out <3
Answer:
D
Step-by-step explanation:
Every input can only have one output for it to be considered a function. There are repeats of x values with different y values in all of these except for D so D is the correct answer.
Which equation would best help solve the following problem? The height of a triangle is 5 m less than its base. The area of the triangle is 42 m² What is the length of the base?
Answer:
[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]
The second choice is correct
Step-by-step explanation:
Area of a Triangle
Given a triangle of base B and height H, the area is calculated by the formula:
[tex]\displaystyle A=\frac{1}{2}BH[/tex]
Let's call x=base of a triangle
Since the height of the triangle is 5 m less than the base:
x - 5 = height of the triangle.
Thus, the area is
[tex]\displaystyle A=\frac{1}{2}x(x-5)[/tex]
The value of the area is given as A=42 square meters, thus:
[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]
The second choice is correct
I would love some help :)
can someone help me out it would be great if u can explain it.
Answer:
113.1
Step-by-step explanation:
formula for circle is pie X radius^2
Help need badly please
Answer:
6
Step-by-step explanation:
subtract 2 from2 equal zero
add 2and 4 together get six
zero divided by any non-zero number gives zero
multiply 3 times 4 gets 12
0+12/2
divide 12 by 2 equal six
0+6
zero 0 and 6 to get 6
6
Find the total surface area of the rectangular pyramid.
7 ft
t
6 ft
0 120 12
O 168 112
8412
O 204?

Answer:
I can't really understand the wording but..
Step-by-step explanation
The formula for surface area of a rectangular prism is A=2(wl+hl+hw)
so yeah enjoy freedom for the rest of the day
What coefficients do you need to balance the following equation?
Answer:
4,3,2,6
Step-by-step explanation:
this is because all the atoms are in same number in reactants and products
5.4 = -t/5.5 solve for t
Answer:
t=−29.7
Step-by-step explanation:
Jim is making salsa. His recipe calls for 3 1 3 cups of tomato sauce for every 1 6 cups of cilantro. If Jim has 1 cup of cilantro, how many cups of tomato sauce will he need?
Answer: 20 cups of tomato
Step-by-step explanation:
From the question, we are informed that Jim is making salsa and that his recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of cilantro.
If Jim has 1 cup of cilantro, thus simply means that he has multiplied the previous cup of cilantro by:
= 1 ÷ 1/6
= 1 × 6/1
= 6
Therefore, we would also multiply the cups of tomato by 6. This will be:
= 3 1/3 × 6
= 10/3 × 6
= 20 cups of tomato
what's the answer to 9 x (-6)=
Answer:
-54
Step-by-step explanation:
a positive times a negative is a negative always
Answer:
Answer: -54
Multiply them and add a negative symbol
1) The regular price of a shirt is $15. A store is offering a discount of 30%. What is the
discount price of the shirt? [Think: what are you finding, the part (discount), the percent,
or whole (original price)]
Answer:
$10.50
Step-by-step explanation:
15 times 30 = 4.5
15-4.5=10.50
Which equations have the same value of x as Two-thirds (6 x + 12) = negative 24? Select two options.
4 x + 8 = negative 24
9 x + 18 = negative 24
4 x = negative 16
StartFraction 18 x + 36 over 2 EndFraction = negative 24
4 x = negative 32
Answer:
2/3(6x+12) = -24 can be simplified to
4x+8 = -24 so the first answer is right and if you further simplify it by subtracting the 8 you get
4x = -32
Step-by-step explanation:
Answer:
A.) D.)
Step-by-step explanation:
edge 2021
50 dividido 11 con la explicación
Find the product and the quotient.
1/3 x 1/6 =
1/6 dividend by 3 =
Answer:
1. 1/18
2.1/18
Step-by-step explanation:
In order to multiply fractions, you just multiply it straight out. Numerator to numerator, denominator to denominator.
1*1=1
6*3=18
So, the answer is 1/18.
To divide fractions, you flip the second number. If the number is 3, you flip the 3 to the denominator to make 1/3. Then, you multiply using the rule above.
r(2s)(t) when r=2, s=3, and t=5
Answer:
60
Step-by-step explanation:
2(2*3)(5)
2(6)(5)
2(30)
60
express (x-6)^2 as a trinomial in standard form
Answer:
Step-by-step explanation:
(x - 6)(x -6) = x^2 - 6x - 6x + 36 = x^2 - 12x + 36
Answer:
x^2-12x+36
Step-by-step explanation:
like that or a different way
isabels class has collected 90 cans in a food drive they plan to sort the cans into n bags, with an equal number of cans in each bag. write an expression to show how many cans there will be in each bag.
Answer:
cn=90, so long as c and n are whole numbers
Step-by-step explanation:
There are two variables in this equation you have here. One, n the number of bags, has already been given to you, because there can be any number of bags. The other, weĺl call it c, is the number of cans in each bag. Because there could be any number of bags, and the number of cans needed in each one is also a variable, you are left with more than one option. Any solution will work so long as the number of cans, c, per bag, n, is equal to the total, 90. There could be 9 cans in 10 bags, or 10 cans in 9 bags, or 15 cans in 6 bags or vice versa. The only way to define it for one answer is to have a set number of bags or cans per bag. Hope this helps!
What is the sum (2/5x + 5/8) + (1/5x - 1/4)?
a. 3/5x + 1/8
b. 3/5x + 3/8
c. 3/5x + 5/8
d. 3/5x + 7/8
Answer:
[tex]\frac{3}{8} + \frac{3x}{5}[/tex]
Step-by-step explanation:
[tex]\left(\frac{2}{5}x + \frac{5}{8}\right)+\left(\frac{1}{5}x-\frac{1}{4}\right)[/tex] =
[tex]\frac{2}{5}x+ \frac{1}{5}x+ \frac{5}{8}- \frac{1}{4}[/tex] (Group Like Trems) =
[tex]\frac{3}{5}x+\frac{5}{8}-\frac{1}{4}[/tex] =
[tex]\frac{3}{8}+ \frac{3x}{5}[/tex]
Susana runs 2 3/4 miles every 1/4 hour. Enter the number of miles Susana can run in 1 hour
Answer:
Step-by-step explanation:
If Susana runs 2 3/4 miles per 1/4 hour
in one hour
2 3/4=11/4
1h=11/4 *4=11 miles
11 miles/hour
help ur guy out im not able to understand this
Answer:
a = 4.5
b = 5
Step-by-step explanation:
Answer:
b=7
area=20
a=5.66
perimeter=19.66
Step-by-step explanation:
Don't know your exact question but here goes everything:
since angle between a and b=45 degrees, b=4+3
b=7
area=(7x4)-1/2(4)(4)
area=28-8
area=20
a^2=4^2+4^2
a^2=16+16
a^2=32
a=5.66
Nancy has 1/3 of a cup of strawberries. She wants to share them with her 4 friends. How much will each of her friends get?
The equation for the graph shown below in factored form?
Answer:
The graph is not visible
Step-by-step explanation:
Do something about it
pls help ASAP will give brainliest
Answer:
5866
Step-by-step explanation:
Answer
5866
divide 17600 by 3
Fractions less then 1/2
Answer:
Step-by-step explanation:
16 fractions less than one half
1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3
Answer:
1/3, 1/4, 1/5, 1/6