Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
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
Find the distance across the bridge
]
Snow day problem, please answer worth 10 points
What is 63 divided by 36?
Answer:
1.75
Step-by-step explanation:
used a calculator
Answer:
63÷36=1.75
Step-by-step explanation:
itz easy
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J(3x3- 5x2 + 3x + 4) dx
Evaluate the expression 2l + 2w for l = 5.7 and w = 6.2.
Answer:
so 5.7 square root is 2.45 so minus that by 2K and you get 3.4
Step-by-step explanation:
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!
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:
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
Graph the line.
y=-3x - 3
Step-by-step explanation:
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The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.
How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.
Answer:240 visitors are at the zoo
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."
9am-10am is 6 visitors
10am-11am is 6*3=18 visitors
11am-12pm is 18*3=54 visitors
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
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
The table on the left is that of a linear function, and the one on the right is that of an exponential function.
Can you tell which function has the higher rate of growth? How?
A)
There is not enough information to make a conclusion.
B)
The linear function is growing faster, because at x = 3 the y-value of the
linear function is larger.
C)
The exponential function is growing faster, because at x = 0 the y-value of
the exponential function is larger.
D)
The exponential function is growing faster, because it grows by a factor
that is multiplied by the previous y-value instead of being added like the
linear function.
Answer:
The answer is option D) The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.
Step-by-step explanation:
We can easily that by evaluating both functions at x = 10
Linear
f(x) = 7*10 = 70
Exponential
f(x) = 2^(10) = 1024
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:
If a watch costs $ 40 and you must pay 6.5 % sales tax
Step-by-step explanation:
you will end up paying $66 dollars
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
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.
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:
Someone help me out please
Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.
Solve (set the terms equal to 0):
x-1 = 0 x = 1
x-5 = 0 x = 5
∴ the x-intercepts are (1,0) and (5,0).
The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.
Find the indicated term of the arithmetic sequence.
22nd term: a1 = 4; d = 4
The 22nd term of the arithmetic sequence is:
.
Answer:
88
Step-by-step explanation:
Answer:
88
Step-by-step explanation:
plz give brainliest
Answer the following question:
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
What is the missing number that makes the fractions equivalent?
1 4/7=?/42
Answer:
84
Step-by-step explanation:
You need to figure out 7 times what gets you 42
6 x 7 = 42
then you do the same for 14
14 x 6 = 84
sorry if this wasn't a good explanation
PLEASE HURRY!!
(a) Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75
(a) Write an equation that represents the situation. Use c to represent the cost of each cat toy.
(b) Solve for c and justify your solution by checking your answer.
Multiple the number of toys bought by c to equal the total spent:
A) 7c = $22.75
B) divide the total spent by the quantity bought:
C = 22.75/7
C = 3.25
Each toy cost $3.75
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...
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!
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 :)
The inequality x S-8 would represent which of the following values?