Triangle AA'B'C' is the image of AABC under a dilation.
Proving Triangle Similarity
helpppppppppppppppp edge 2022
30 reward thing
edit: nvm i got it
The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a given two triangles as shown in the picture.
As we have given QR ⊥ PT
And
Angle QPR ≅ Angle STR (given)
From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.
Angle QRP ≅ Angle SRT
By angle-angle or AA
Triangle PQR is similar to Triangle TSR
Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .
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Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?
Answer:
1
Step-by-step explanation:
since there is no other opponent he is sure to get the position hence the probability is maximum
what are the x-intercept(s) of the function
To find the zeros of a rational function, we must identify values of x that make the numerator equal to 0. We can do this by factoring and by keeping in mind the zero-product property.
The zero-product property states that if the product of two terms is 0, then one of the terms must be equal to 0.
Solving the QuestionWe're given:
[tex]f(x)=\dfrac{4x^2-36x}{x-9}[/tex]
First, factor 4x out of the numerator:
[tex]f(x)=\dfrac{4x(x-9)}{x-9}[/tex]
Let f(x) = 0:
[tex]0=\dfrac{4x(x-9)}{x-9}[/tex]
In this case, either x or (x-9) is equal to zero, as they are the two terms being multiplied in the numerator to get 0 as a product.
This makes the x-intercepts of this function 0 and 9.
However, the denominator in this function is x - 9. If x = 9, then it would make the denominator 0, which is not allowed. Therefore, x cannot equal 9, and the only x-intercept is 0.
Answerx = 0
which relation represents a fuction
Answer:
It should pass the horizontal and vertical line test.
hope it helps!
If the side length of a square is 4 inches, it’s area is how many square inches and it’s perimeter is how many inches
Answer:
The area is 16 inches squared and the perimeter is also 16 inches
Step-by-step explanation:
To find the area, you must multiply the length by the width. Since this is a square, you have to multiply one adjacent side by the other. For perimeter, you can either multiply one side by 4 or add all 4 sides.
show that the radius of B is 2.5cm
Answer:
how?
Please Attach Figure so someone can Solve...
Step-by-step explanation:
Can someone help me please
===========================================================
Explanation:
Focus on the endpoints (0,15) and (10,0). They are the y and x intercepts in that order. This is the starting point and ending point of the ball.
The average rate of change is the slope of the line connecting these endpoints. This is when we consider the entire time the ball is in the air.
Let's use the slope formula to get the following:
[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (10,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - 15}{10 - 0}\\\\m = \frac{-15}{10}\\\\m = -\frac{3}{2}\\\\[/tex]
The slope is -3/2, which is the average rate of change.
It tells us that the height is decreasing by 3/2 = 1.5 meters per second, which is an average speed.
In other words, the ball is going downward at an average speed of 1.5 meters per second.
Keep in mind the instantaneous speed of the ball is changing all the time. The result of -3/2 = -1.5 only applies to the average speed.
------------
Note how the slope formula involves computing the change in y (which was us computing [tex]y_{2} - y_{1} = 0 - 15 = -15[/tex]. It indicates the ball had gone down 15 meters when going from the start point to the ending point. This is the change in distance. The change in time is the [tex]x_{2} - x_{1} = 10-0 = 10[/tex] portion, meaning the duration is 10 seconds.
In short,
slope = rise/run
slope = (change in distance)/(change in time)
slope = (-15)/(10)
slope = -3/2
So this may be a better way to see what's going on rather than rely on a formula in the previous section.
what is the system of equations shown in the graph?
PLEASE HELP
1-Spin the spinner 20 times, create a table to display the results. What is the experimental probability of spinning yellow?
2-Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow?
3-What is the experimental probability of spinning red or yellow?
Answer:
24
Step-by-step explanation:
are any of these answers correct?
Of all video game players, 1/8 are men over age 50 and 2/5 are women. what fraction represents men younger than 50 years old?
13/40 are men under 50
21/40 are men under 50
17/40 are men under 50
23/40 are men under 50
please helm me out!
Answer:
19/40
Step-by-step explanation:
⅛ over 50
⅖ women
5 x 8 = 40
8 x 2 = 16
1 x 5 = 5
16 + 5 = 21
40 - 21 = 19
19/40
Answer:
19/40 are men under 50
Step-by-step explanation:
Given:
2/5 of all video game players are women1/8 of all video game players are men[tex]\begin{aligned}\textsf{Men under 50 yrs old} & = \textsf{total proportion of men} - \textsf{proportion of men over 50}\\\\& = \left(1-\dfrac{2}{5}\right)-\dfrac{1}{8}\\\\& = \dfrac{3}{5}-\dfrac{1}{8}\\\\& = \dfrac{3 \cdot 8}{5 \cdot 8}-\dfrac{1 \cdot 5}{8 \cdot 5}\\\\& = \dfrac{24}{40}-\dfrac{5}{40}\\\\& = \dfrac{19}{40}\end{aligned}[/tex]
To check this, let's assign a number to the total number of players and use this to help us calculate the proportion of players who are men under 50 years old.
Let the total number of video game players be 400.
If 2/5 of all video game players are women, then the proportion of all video game players that are men is: 1 - 2/5 = 3/5
⇒ total number of men = 3/5 of 400 = 3/5 × 400 = 240
If 1/8 of all video game players are men over 50 years old then:
⇒ number of men over 50 yrs old = 1/8 × 400 = 50
Therefore:
⇒ number of men under 50 yrs old = 240 - 50 = 190
Finally, the fraction of men under 50 years old from all video game players is the number of men under 50 divided by the total number of men.
⇒ men under 50 years old = 190/400 = 19/40
Write a product that converts 492 seconds into an equivalent time in minutes. Use division to find the answer.
(It will be a
decimal answer.)
Answer:
8.2 minutes
Step-by-step explanation:
[tex] \ \frac{492}{60} = 8.2[/tex]
492 seconds = 8.2 minutes
Given: l || m; ∠1 ∠3
Prove: p || q
Horizontal and parallel lines l and m are intersected by parallel lines p and q. At the intersection of lines l and p, the uppercase left angle is angle 1. At the intersection of lines q and l, the bottom right angle is angle 2. At the intersection of lines q and m, the uppercase left angle is angle 3.
Complete the missing parts of the paragraph proof.
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because
. We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the
.
The parts that are missing in the proof are:
It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem
What is the Converse of Alternate Exterior Angles Theorem?The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.
∠1 ≅ ∠3 and l║m because we are: given
By the transitive property,
∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.
Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.
Therefore, the missing parts pf the paragraph proof are:
It is given∠2 ≅ ∠3converse alternate exterior angles theoremLearn more about the converse alternate exterior angles theorem on:
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Answer:
it is given
angle 2
angle 3
converse alternate exterior angles theorem
Step-by-step explanation:
What is the distance between the tick marks on the number line?
A number line going from 0 to 2 in increments of 1. There are 5 equals spaces between each number.
One-fifth
One-fourth
4
5
Mark this and return
Answer:
1/5
Step-by-step explanation:
2 units divided into 5 marks each = 10 marks
2/10 = 1/5 unit each mark
John is 36 years old now. 1/4 of his age is equal to 1/3 of sam's age. find their total age in 5 years time
Answer:
John = 41 years
Sam = 32 years
Step-by-step explanation:
Which of the following is a secant on the circle below?
A. SU
B. RT
C. SU
D. UT
The secant of circle is SU and RT.
What is Secant of the Circle?A straight line that intersects a circle in two points is called a secant line.
From the given diagram,
The line which intersects the circle at two points or an extended chord is SU and RT.
Hence, secant is SU and RT.
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John is 1/8 meter shorter than Paul, and Paul is 0.25 meter taller than Andrew. John's height is 13/4 meters, what is Andrews height?
Answer:
About 2.13
Step-by-step explanation:
13/4 multiply by 7/8 to get 91/32, then multiply by 0.75(3/4), which is 273/128
what is the area of stuvwx in the parallelogram below?
Answer:
fuz what hhde you ha thewebsite and it
What number is the arrow pointing at?
Answer:
170
Step-by-step explanation:
each little mark is adding 20 to the 100 you see there and because the arrow is pointing somewhere in between two of the marks, it means it's just adding 10. Now you have to add 100 + the marks + 10
* remember you have three marks and each one of them is equal to 20 so when you add them, you get 60.
100 + 60 + 10 = 170
Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes. theta = pi / 5
The shape of the graph = rose
The domain = all real numbers
Range = [-2,2]
Maximum r-value = Symmetric about the x-axis
The graph is continuous = Yes
Is it bounded = Yes
Any asymptotes = No
This is further explained below.
What is a graph?Generally, the graph is simply defined as a graph is a graphical representation of a relationship, usually between two variables, where each variable is shown along with one of two orthogonal axes.
In conclusion, there is no break in the graph, and it has finite limits.
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Which formulas could you use to find the volume of a right circular
cone?
OA) V = B-h where B = I-w
OB) V=B-h where B=1r'
OC) V=B-h where B = Tr
OD) V=B-h where B=1-w
Answer:
The formula for the volume of a cone is V=1/3hπr².
Please help with this question thanks!!
Answer:
(-1,4)
Step-by-step explanation:
Step 1) Change both equations to slope intercept form
3x+y=1 ---> y=-3x+1
5x+y=-1 ---> y=-5x-1
Step 2) Plot lines accordingly on graph
Lines intersect at (-1,4)
Absolute value of (0, -4/5)
To answer this question, we need to know what absolute value is in the first place. ANSWERS ARE AT THE BOTTOM.
Absolute value represents how far something is from 0 in a number line.
For example, lets take 4.
4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.
Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.
Now let's look at your problem.
You want the absolute value of 0 and -4/5
Following the same principle above about the distance from 0, here are your answers:
Absolute value of 0: 0
Absolute value of -4/5: 4/5
Find the y-intercept of the rational function.
A (0, -10)
B (-10, 0)
C (0 , -2)
D (-2, 0)
Answer:
C
Step-by-step explanation:
The y intercept is when the graph passes the y axis. This occurs at (0,-2)
3. Jeff Ruiz wants to purchase chocolates. The price of a 2-ounce box is $1.10, a 16-ounce box is $8.98, and a
32-ounce box is $17.98.
Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .
What is an ounce ?Ounce is defined as 1/16 part of a pound.
It is given that
price of a 2-ounce box is $1.10,
a 16-ounce box is $8.98
a 32-ounce box is $17.98.
As Jeff wants to purchase total 48 ounce chocolates , the box which is more cheaper has to be determined
The price of 1 ounce in a 2 ounce box is $1.1 /2 = $ 0.55
The price of 1 ounce in a 16 ounce box is $8.98 /16 = $ 0.56
The price of 1 ounce in a 32 ounce box is $17.98 /32 = $ 0.56
Therefore Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .
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What is the square root of -1
Answer:
Step-by-step explanation:
Negative numbers don't have real square roots since a square is either positive or 0. so it doesn't exist
Answer:
i
Step-by-step explanation:
the square root of negative one is not real.
It is classed as an imaginary number denoted by i , that is
[tex]\sqrt{-1}[/tex] = i
Hey guys. Need help here
Consider an investment of $6000 that earns 4.5% interest
What is the value of the investment after
15 years if the interest is compounded
annually?
Answer:
$11,611.69
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $6,000r = 4.5% = 0.045n = 1 (annually)t = 15 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=6000\left(1+\frac{0.045}{1}\right)^{(1 \times 15)}[/tex]
[tex]\implies \sf A=6000(1.045)^{15}[/tex]
[tex]\implies \sf A=11611.69466...[/tex]
Therefore, the value of the investment after 15 years will be $11,611.69 to the nearest cent.
A с Which diagram shows all the lines of symmetry of the regular hexagon? B D A с Which diagram shows all the lines of symmetry of the regular hexagon ? B D please help
The diagram that shows all the lines of symmetry is diagram B.
Which diagram shows all the lines of symmetry of the regular hexagon?
We define a line of symmetry as a line such that if we perform a reflection over that line, the image coincides with the preimage (so the reflection does not change the figure).
With that in mind, any line that cuts the hexagon in exactly two halves is a line of symmetry.
So the image that shows all the lines of symmetry of the regular is B, where it shows all the lines that cut the hexagon in two equal halves.
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Plsssssss answerrrrr
the answer I knew but I forgot at ate
