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 equation of a line perpendicular to -x+2 =y that intersects the line at (-1.5.3.5)?
y = x + 2
O
y = x +5
O
y = -x+2
O
y = -x +5
о
Answer:
y=x+5
Step-by-step explanation:
Someone please help look at the picture please anything would help
In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quality status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.
Answer:
The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088
Step-by-step explanation:
Given that:
Probability of manufacturing a defective mirror = 0.075
To find the probability that the 3rd defective mirror is the 10th mirror examined:
Let X be the random variable that follows a negative Binomial expression.
Then;
[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]
[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]
[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]
[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]
[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]
= 0.0087999
≅ 0.0088
The dance team has three cupcake sales a
year to raise money. The amount of money
they make is a function of the amount of
people who buy cupcakes. This function is
represented by the three ordered pairs (40,
100), (70, 175) and (90, 225). What is the
domain of this function?
help
Answer:
40,70,90
Step-by-step explanation:
Which equation could generate the curve in a graph below?
Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%
A. $2156
B. $2165
C. $1965
D. $1959
Answer:
a
Step-by-step explanation:
Which explains why the graph is not a function?
Answer:
the points are not joined hence not a function
Answer:
Imma say its option 2 thats the only one that makes any sense good luck
Step-by-step explanation:
Match each multiplication expression with the number of decimal places in its product
Answer:
Step-by-step explanation:
Digits after the decimal in a number decide the number of decimal places.
If there are 1 digit after the decimal, decimal place will be one decimal place.
Similarly, 2 digits after the decimal, decimal place will be two decimal place.
1). 4.2(0.938) = 3.9396 (Four decimal places)
2). 0.9(29.3) = 26.37 (Two decimal places)
3). 18(5.75) = 103.50 (Two decimal places)
4). 0.48(12.19) = 5.8512 (Four decimal places)
5). 3.21(2.4) = 7.704 (Three decimal places)
6). 50.7(14.06) = 72.842 (Three decimal places)
Answer:
The person above me is right.
Step-by-step explanation:
I did it on edge and got it right.
please help!!!!!! 13 points
Answer:
4.5 and 6
Step-by-step explanation:
Answer:
x 2 4 6 7 9
y 1 2 3 3.5 4.5
Step-by-step explanation:
can I have brainliest
if x^2 = k + 1, then x^4 - 1 / x^2 + 1 =
Step-by-step explanation:
Since (x² + 1)(x² - 1) = x⁴ - 1,
(x⁴ - 1)/(x² + 1) = x² - 1 = k.
Find the value of this expression if x = 5 and
y = 2.
xy^2/-3
Answer:
The value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{xy^2}{-3}[/tex]
Apply the fraction rule: a/-b = -a/b
[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]
substituting x = 5, y = 2 in the expression
[tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]
[tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]
[tex]=-\frac{20}{3}[/tex]
Therefore, the value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]please click to go to my question pleaseeeeeeeee https://brainly.com/question/19665659
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Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A group of preschoolers has 7 boys and 27 girls. What is the ratio of girls to all children?
A. 27:7
B. 7:27
C. 27:34
D. 34/27
3. Given the equation determine:
f(x)= x² - 4
f(-3)
Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5
Answer:
5
Step-by-step explanation:
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Question #2
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
is (-3,-2)
Step-by-step explanation:
because you are graphing them on a chart find
Answer:
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
Did the unit test review got it right.
Step-by-step explanation:
These points are linear. Find the slope.
Answer:
5
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{15-10}{3-2}[/tex]
= 5
vincent has cut three pieces of rope to complete a science project
Answer:
Cool______________________________________________
what is the quotient 2 1/5 over negative 1/10
Answer:
25
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
those 2 1/5 divided by 1/10 = -22
the sum of 5 and a number x
plz help
due by 11:59
Answer:
x+5 is the answer.............
Answer:
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]
⇒. x +5
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
2 markers fewer than m packs of markers that have 9 markers in each pack
Answer:
9m-2
Step-by-step explanation:
There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2
Subtract 8 feet from 9 yards, 1 foot.
A. 6 yards, 2 feet
B. 7 yards, 1 foot
C. 6 yards, 1 foot
D. 1 yard, 1 foot
Answer: B
Step-by-step explanation:
I knew I would have 1 foot left so that made sure it wasn’t A then I knew that it the answer had to be in yards so I convert 8 feet into yards which becomes 2.7 so it’s not three which makes I’m not C. So 9 yards minus 2.7 yards would equal the answer B
Answer:
your answer should be A let me know
Step-by-step explanation:
A
Plz help me with this plz I am marking branliest to correct answer plzzzzz
Answer:
Step-by-step explanation:
(a). ASA ≅ ASA
If two consecutive angles and the included side of a triangle are congruent to the two consecutive angles and the included side of another triangle, both the triangles will be congruent.
(b). SSS ≅ SSS
If three sides of a triangle are congruent to three sides of another triangle then both the triangles will be congruent.
What is the answer and plz give me step by step explaining
Help if your smart plzzzzzzz
( will give 35 pts and brainliest)
Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
HELP PLS!!
Provide the length of x
Answer:
10
Step-by-step explanation:
the mid-segment, 5, is parallel to the base of the triangle and the side that the mid-segment is parallel to is always double the length of the mid-segment, so the base of the base is 10. this triangle is an equilateral triangle so the side, x, is also 10.
Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
in which every 2 inches represents 5 feet. On her scale drawing, the area of the room is 24.96 square
inches. If one side of her room is 12 feet long, how long is the other side of her room, in feet?
Answer:
The other side = 13 feets long
Step-by-step explanation:
Given that :
Scale of drawing : 2 inches represents 5 feets
Area of rectangular room according to scale drawing = 24.96 in²
Length of one side of the room = 12 feets
Length of other side = x
Area of rectangle = Length * width
If :
2 inches = 5 feets
x = 12 feets
x = (12 *2) / 5
x = 4.8 inches
Hence,
For the scaled drawing :
4.8 * width = 24.96
Width = 24.96 / 4.8
Width = 5.2 inches
Converting to feets according to scale:
2 inches = 5 feets
5.2 inches = x feets
x = (5.2 * 5 ) / 2
x = 13 feets
Other side is 13 feets long
Math pic is below
Thanks
Answer:
q = 90
Step-by-step explanation:
q / 18 = 5.
Multiply both side by 18.q /18 × 18 = 5 × 18
q = 90.
A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?
Answer:
92, Hope this helps
Step-by-step explanation:
10000-5200= 4800/52 = 92.307 rounded up = 92
Please help me now
Answer:
Step-by-step explanation:
C: Side-Angle-Side
which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6
Answer:
36/16
Step-by-step explanation: