Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
Related Questions
Two angles are supplementary. The measure
of one angle is 9º more than twice the measure
of the other angle. What is the measure of the
smaller angle?
Answers
Answer:
57°
Step-by-step explanation:
Let's assume the measurement of the second angle is x.
so, following the problem
(2x + 9) + x = 180
2x + x = 3x
=> 3x + 9 = 180
=> 3x = 180 - 9
3x = 171
x = 171/3
x = 57°
57° is the smallest angle
A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.
pls answer and help me..
Answers
Answer:
a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary
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Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answers
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answers
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $19.88 left on the car, how many yards of ribbon did rachel buy.
Answers
Answer:
46 yards.
Step-by-step explanation:
Subtract the new balance from the original balance:
30.00 - 19.88 = 10.12
Therefore, Rachel spent $10.12
Divide the result by the cost of ribbons per yard:
10.12 ÷ 0.22 = 46
Therefore, Racheal bought 46 yeards of ribbon.
Navya picked two different numbersfrom set of number cards. 300 is a multiple of both the numbers, Which of these CANNOT be a number she picked?
A. 45
B. 50
C. 60
D. 75
PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡
Answers
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Explanation:
Since 300 is a multiple of some number, this means that mystery number is a factor of 300.
So for instance, she could have picked 60 since 60*5 = 300. Or she could have picked 50 because 50*6 = 300.
To find out if you have a factor or not, divide the 300 over each answer choice. If you get a whole number, then it is a factor.
A) 300/45 = 6.67 approximatelyB) 300/50 = 6C) 300/60 = 5D) 300/75 = 4Choices B through D lead to whole number results, which shows that the numbers 50, 60 and 75 are factors of 300. Flipping things around, this means that 300 is a multiple of 50, 60, and 75.
Only 45 is the one that isn't a factor of 300, which means that 300 is not a multiple of 45.
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Another way to see this is to list out the multiples of 45
45, 90, 135, 180, 225, 270, 315, 360, ...and we don't land on 300. The closest we get is 315.
In contrast, let's list out the multiples of 50
50, 100, 150, 200, 250, 300, 350, 400, ...The value 300 is in the list, allowing us to cross off choice B. Choices C and D are similar.
Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?
They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.
Answers
The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.
The transformation rule is given as:
[tex](x,y) \to (-x,y)[/tex]
When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:
[tex]H'A'M' = (-x,y)[/tex]
So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.
This, in other words means that the y-axis bisects the line segment AA'.
Hence, the relation between the segment and the y-axis is (c)
Read more about reflection at:
https://brainly.com/question/1600006
Answer:
C. The y-axis is a bisector of the segment drawn.
Step-by-step explanation:
Need help ASAP! Directions in picture;)
Answers
Answer:
x+43⁰+52⁰=180⁰ [being triangle]
x⁰+95⁰=180⁰
x⁰=180⁰-95⁰
x⁰=85⁰
Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5
Answers
Answer:
(-2,1)
Step-by-step explanation:
that is where the two graphs intersect
what is the x coordinate to the solution for the following system of equations
x = 2y
4x - 3y = 15
Answers
Answer:
x=6
Step-by-step explanation:
x=2y
4x-3y=15
4(2y)-3y=15
8y-3y=15
5y=15
y=3
x=2y
x=2(3)
x=6
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.
Answers
Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
https://brainly.com/question/14265399
what is the slope of y-3=-2(x+5)
Answers
Answer: slope (m) = -2
Step-by-step explanation:
y-3=-2(x+5)
put it into y=mx+b
use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.
first, parantheses.
-2(x+5)
-2 times x = -2x
-2 times 5 = -10
your new equation is y-3 = -2x-10
now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.
you final equation will be y=-2x-7
in the form y=mx+b, m is your slope.
therefore, -2 is your answer, or slope.
Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?
Answers
Answer:
dont mind me just grinding for points
Step-by-step explanation:
What is the slope of the line?
I really need help
Answers
Slope
m=(2-0)/1+2m=2/3Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).
Answers
The expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Give two integers A and B, according to the commutative law of addition;
A + B = B+ AThe arrangement of the integers does not affect the sum.Given the expression (-1+3i) + (18+5i)
The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:
(-1+3i) + (18+5i)
-1 + 3i + 18 + 5i
(-1 + 18) + (3i + 5i)
We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Learn more on commutative property here: https://brainly.com/question/778086
A doughnut company finds that its sales are
boosted by advertising according to the
600d
relationship S(d) = where S and d
10+ 0
represent sales and advertising, respectively,
in thousands of dollars. Calculate another
expression for S(d) by performing the
division shown.
Answers
Answer:
Hey will you marry me? serious question
HELP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)
h(t)=6 for 7 ≤ t ≤ 8
please i’m really struggling with this :((
Answers
Answer:
thn 6<7<8 is your answer
Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.
Answers
Answer:
Henry payed $ll.70
Step-by-step explanation:
1.20 times 9 3/4 (or 9.75) equals 11.7
as a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?
Answers
Answer: 6x - 4
Step-by-step explanation: -2*f(x) = -2 * (-3x+2) = (-2*-3x) + (-2*2) = 6x + (-4) = 6x - 4
What happens in the inequality when we multiply or divide by a negative number?
Answers
Answer:
The inequality flips.
It can go from
> to <
and vice versa
The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?
Answers
Just divide 330 and 12 because 1 dozen is 12!
Answer:
27.5
Step-by-step explanation:
What part of the coordinate plane is equidistant from the points A(-3,2)and B(3,2)?
explain the answer
Answers
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 10 cm cube is built from small cubes, each 1 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
2:1
3:1
11:1
10:1
Answers
Answer:
10:1
Step-by-step explanation:
This ratio is N to n for all answers. (N = Larger than n, n = Smaller than N)
Look at the Larger number. (10)
Look at the Smaller number. (1)
Turn 10 and 1 into a ratio. (10:1)
NEED HELP ASAP PLS ^^
Rearrange this equation
y+x=2
Answers
Answer:
y=-x+2
Step-by-step explanation:
y+x-x=2+x
y=-x+2
The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.
Answers
Answer:
230.0 x 1000-200
Step-by-step explanation:
Since one grain of pepper is 2.3x10-2 100 would be 100 times that.
In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?
Answers
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Explanation:
We'll need these trig ratios
sine = opposite/hypotenusecosine = adjacent/hypotenuseRefer to the diagram below.
sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.
cos(B) = s = s/1 means the adjacent side to angle B is of length s
sides r and s are the two legs of the right triangle.
----------
From that diagram, we can then say:
sin(angle) = opposite/hypotenuse
sin(C) = s/1
sin(C) = s
This is identical to cos(B). We can say cos(B) = sin(C)
Also, we can say:
cos(angle) = adjacent/hypotenuse
cos(C) = r/1
cos(C) = r
So cos(C) = sin(B)
This works because B+C = 90
----------
So,
sin(C) - cos(C) = cos(B) - sin(B) = s - r
what is the least number of plums that can be shared equally among 6, 9, or 12 children
Answers
please help me i will give you a brainlist thingy thanksss
Answers
I could not see the first question so i couldn't answer.
2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)
3) Just add the two angles.
x =13+19
x= 32° (Answer)
4) We must know the other angle value in order to find x. So considering both the angles are equal,
2x = 44
x= 22° (Answer)
5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°
6) Supplementary angles total 180°
Complementary angles total 90°
7)Opposite angles is equal when two straight lines intersect. So,
14x - 16 = 12x + 22
14x-12x=22+16
2x= 38
x= 19° (Answer)
8) Corresponding angles
9) 140°
The other option is 32
Answers
Answer:
32
Hope you could get an idea from here.
Doubt clarification - use comment section.