Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.
Given:
Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.
Then dilated with a factor of 1/3 to form triangle A"B"C".
To find:
The correct statement for triangles ABC and A"B"C".
Solution:
We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.
So, figures are always congruent to their images after reflection.
[tex]\Delta ABC\cong Delta A'B'C'[/tex] ...(i)
Dilation is not a rigid transformation. Here, shape remains same nut the size is different.
So, figures are always similar to their images after dilation.
[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex] ...(ii)
Using (i) and (ii), we get
[tex]\Delta ABC\sim \Delta A"B"C"[/tex]
ΔABC and ΔAB"C" are similar triangles.
Therefore, the correct option is A.
what is the answer to 2/5 times 1/4
3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6
Solve for x = X-16/x+6= 3/5
Answer:
-16/29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test
Answer the following question:
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
Express the percent as a decimal 6.4%
Answer:
0.064
Step-by-step explanation:
Hope this helps!
Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?
Answer: First you have to take 20% and make it into a fraction 1/5.
Then you multiply 46.5 and multiply it by 1/5 and get 9.3
Add $46.50 and $9.30 and get $55.80
Step-by-step explanation: Hope this helps!! <3
Name AT LEAST 3 other words that are a synonym for a ROOT of a polynimal
Answer:
Root of polynomial synonyms: zero, x-intercept
Step-by-step explanation:
Technically in calculus we also call roots critical points of f, but I'm not sure of the obvious 3rd word. Maybe horizontal intercept?
pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?
Answer:
1.2 Liters
Step-by-step explanation:
There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2
What constant term should be added to both sides to complete the square on the left side?
x^2 - 3/4x + _____ = 10
Answer:
9/64Step-by-step explanation:
Given
x² - 3/4x + _____ = 10Need to complete square on the left side of equation
The square should be in the form of:
(a + b)² = a² + 2ab + b²We see a = x therefore
2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64So the missing constant term is 9/64
Set up an equation that relates the direct variation. D varies directly with t
Answer:
I really don’t understand the question.. sorry I couldn’t help...
6. What are the dimensions of this matrix?
Answer:
the dimensions will be 2 x 1
Option C is correct option.
Step-by-step explanation:
We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]
The dimensions consists of rows and columns in the form. Rows x Columns
In the given matrix the rows are: 2
The columns are: 1
So, the dimensions will be 2 x 1
Option C is correct option.
The inequality x S-8 would represent which of the following values?
Find the distance across the bridge
I need help pleas I need it please please please free 50 points free 50 pionts
Answer:
0
Step-by-step explanation:
Answer:
1785
Step-by-step explanation:
Which of the following is a linear function?
**easy** WILL MARK BRAINLIEST!!!!!!! HELP ASAP!!!!
[tex]a. \: \: \: y = {x}^{3} + 1 \\ b. \: \: \frac{5}{6} x = y - 4 \ \\ c. \: \: \: y = 8 {x}^{2} \\\ d. \: \: \: y = \frac{1}{5x} [/tex]
Answer:
b
Step-by-step explanation:
b is a linear function, because all you have to do is swap around the equation. It can't be the ones with exponents or the one that has x as a denominator
Answer:
A: y = x^3 + 1
Step-by-step explanation:
Need help with this one will mark brainliest
Answer:
circle 3
Step-by-step explanation:
Expand the following expression by using the distributive method. 6(3b-4c)
PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles
Answer:
1)
8x + x = 180
9x = 180
x = 30
2)
x + 2 = 2x - 40
2 = x - 40
x = 42
3)
2x + x = 90
3x = 90
x = 30
4)
3x + 1 = 4x - 25
1 = x - 25
x = 26
2.a really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. what is the speed of the armadillo
Answer:
2 meters per second
Step-by-step explanation:
Hope this helped have an amazing day!
perform each operation (3x-4)(x+4)
Answer:
x = 4
(don't really know what they mean by perform?)
Step-by-step explanation:
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
Help me please I need help on this
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
Johnny divided 3 1/2 x 4 what number did he get
Answer:
14
Step-by-step explanation:
3 1/2= 3.5
so...
3.5*4=14
Answer:
14
Step-by-step explanation:
7 / 2 × 4
7 × 2
14
hope it helps!
I need help please :D Thanks
Answer:
Step-by-step explanation:
HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup and search mixed number caculator and it should help u its a web
Write an equation of the line in slope intercept form (0,5)(3,4)
The slope intercep equation of the following points (0,5) (3,4) will be y = (-1/3)x + 5.
What is the slope-intercept equation?
A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.
For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.
Another example is y = 3x + 7 here 3 will be the slope of that equation.
Slope m = difference in y coordinate/ difference in x coordinate.
Let's suppose our equation is y =mx + c
now m = (4 - 5)/(3 - 0)
m = -1/3 now for c put both point in the equation we get as 5.
So y = (-1/3)x + 5 will be correct slope intercept form.
For more information about slope intercept form
https://brainly.com/question/9682526
#SPJ2
Which sets of angles sum to 180
Answer:
All of them
Step-by-step explanation:
24 = 3y Solve for y and show work
Answer:
y=8
Step-by-step explanation:
because 3×8 is 24
and 8 would be the missing number
please help me im very behind
Answer:
y=4/3x+4
Step-by-step explanation:
The change is Y is +4 and in X in +3, which is how we get the slope..4/3.
And the y-intercept would be 4, which is when x is at 0.
Hope this helps!
Answer:
y=4/3x+4
Step-by-step explanation:
A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?
Answer:
The answer is $2,016
Step-by-step explanation:
Multiply 168 and 12 to get 2016
Have a great day :)