The given reflection transformation is a rigid transformation, such that the dimensions are preserved
The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;
AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRTReasons:
The given parameters are;
Triangle ΔABC is reflected across the line y = 2·x
Given that a reflection is a rigid transformation, we have;
The distance between two points on a preimage is the same as the distance between the corresponding points on the image;
Therefore;
ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;
AB ≅ RS, BC ≅ ST, and AC ≅ RT
m∠BAC ≅ m∠SRT
m∠BCA ≅ m∠STR
m∠BAC ≅ m∠SRT
Therefore;
The true statements are;
AB = RSΔABC ≅ ΔRSTTherefore;
m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRSTLearn more here:
https://brainly.com/question/14136606
What is the equation of the line parallel to the line with the equation −x+3y=−3
that passes through the point (1, –6)
Answer:
y = 1/3x - 19/3
Step-by-step explanation:
3y = x -3
y = 1/3x -3
Slope = 1/3
Point= (1,-6)
y-intercept = -6 - (1/3)(1) = -6 - 1/3 = -19/3
Help with answer 10 please!!!
Answer:
b, d, e, f
Step-by-step explanation:
if there is direct variation then one variable equals the other by a constant
for example, y = 2x would indicate that every 'x' value is twice the 'y' value
therefore:
the line must be straight
pass through the point of origin
each point represents the same ratio
points are connected to form a straight line
GIVING BRAINLIST!!! SHORT QUESTION PLS ANSWER
Answer:
Terms:4x, -2x
Coefficients:4, 2
Constant:3
Giving right answer branleist
Answer:
...probably
Step-by-step explanation:
since it's square units and this is a right triangle
area = (width * height) / 2
area = 6 * 3 / 2
area = 18 / 2
area = 9 square units²
Answer:
9 [tex]units^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a triangle is [tex]A=\frac{1}{2}b*h[/tex] where b is the base or bottom of the triangle and h is the height of the triangle.
The base of the triangle in the picture is 6 units.
The height of the triangle in the picture is 3 units.
Substituting these values into the area formula:
[tex]A=\frac{1}{2}(6*3)=\frac{1}{2}(18)=9[/tex]
So the area of the triangle is 9 [tex]units^{2}[/tex]
At the end of a snowstorm, Grace had 15 inches of snow on her lawn. The
temperature then increased and the snow began to melt at a constant rate of 2.5
inches
per hour. Assuming no more snow was falling, how much snow would Grace
have on her lawn 2 hours after the snow began to melt? How much snow would Grace
have on her lawn after t hours of snow melting?
Part 1
The snow melts at 2.5 inches per hour. After 2 hours, 2*2.5 = 5 inches has melted overall. We started with 15 inches, so there are 15-5 = 10 inches of snow left after 2 hours.
Answer: 10 inches of snow==================================================
Part 2
Let t be the number of hours that have elapsed. Because the snow melts at a rate of 2.5 inches per hour, this means after t hours, 2.5t inches of snow melts away. Subtract this from the 15 inches we start with to get 15-2.5t. This expression is the same as -2.5t+15
Answer: Either 15-2.5t or -2.5t+15If you spin a quarter in space what type of 3D figure would you
create?
cylinder
half of a sphere
sphere
cone
Help ill give a brainiest to the first person who answer
Answer:
i think the answer is b Robert earned 10, which was less than twice what Eric earned
The original price of a DVD is represented by the variable x. If the DVD is discounted 45%, write a subtraction expression and a multiplication expression to represent its sale price.
What is the multiplication expression?
Answer:
Sale price = x - 0.45x
Step-by-step explanation:
The number of 90° angles formed by the intersections of and the two parallel lines and is
Answer:
is there supposed to be a picture that goes with this
Step-by-step explanation:
: 0
hi can anyone help with this question thx
first part of the question is in the pic
second part is here and it is:
York to London is a distance of 175miles
How many miles an hour faster was the first part of the journey?
Answer:
88 miles per hour
Step-by-step explanation:
12 + 122 = 134 minutes for the entire journey
The total distance was 197 miles.
The avarage speed is the total distance divided by the total time:
Convert the time from minutes to hours dividing it by 60:
134/60 = 2.24 hours
197/2.24 = 87.95 ≈ 88 miles per hour
Solve for the unknown.
What is 5( x - 3 ) = 5x - 15?
[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]
The answer is 0.LHS = RHS, hence verified.Value of x (substitute 0 in the place of x).
[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]
So, value of x is 0.This image may be the result of the
1. Construction for copying line AB
2. Construction of a line parallel to line AB through point P
3. Construction of a line perpendicular to line AB and line PU.
4. Construction of a line perpendicular to the line AB through point P
If mZRQS is 750, then mZTPU is
1. 15
2. 75
3. 105
4.150
due to my knowledge its 75 because it is.
Step-by-step explanation:
first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.
so, all the "perpendicular" answers are out.
answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.
and since these 2 lines are parallel, the must have the same angles with the crossing line.
therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.
Use coordinate pair to find u(2)
Answer:
[tex]u(2) = 3[/tex].
Step-by-step explanation:
A function [tex]f: A \to B[/tex] is a set of ordered pairs ([tex]2[/tex]-tuples in the form [tex](a,\, b)[/tex]), such that for any [tex]a \in A[/tex], there is exactly one [tex]b \in B[/tex] such that [tex](a,\, b) \in f[/tex].
In other words, for any element [tex]a[/tex] in the domain of this function, there must be exactly one ordered pair with this [tex]a\![/tex] as the first element.
If [tex]f[/tex] meets these requirements, then for any [tex]a \in A[/tex] and [tex]b \in B[/tex], write [tex]f(a) = b[/tex] if and only if [tex](a,\, b) \in f[/tex].
In other words, write [tex]f(a) = b[/tex] ([tex]f[/tex] maps [tex]a[/tex] to [tex]b[/tex]) if and only if there is an ordered pair in [tex]f\![/tex] with [tex]a\![/tex] as the first element and [tex]b\![/tex] as the second element.
The [tex]u[/tex] in this question is indeed a set of ordered pairs and meet the requirements for being a function from [tex]\lbrace 1, 2, 3\rbrace[/tex] to [tex]\lbrace 2,\, 3,\, 4 \rbrace[/tex].
The question is asking for the value of [tex]u(2)[/tex]. Thus, it would be necessary to find an ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element.
The only ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element is [tex](2,\, 3)[/tex]. Thus, [tex]u\![/tex] maps [tex]2\![/tex] to [tex]3\![/tex], such that [tex]u(2) = 3[/tex].
a recreational club charges a one time $20 membership fee and $3 for use of the pool
i just need an answer and step by step work of it someone help me please.
Answer:
what is the question asking?
Abboy has 800, he spend 160. What fraction of his original money does he have left
Answer:
80%
Step-by-step explanation:
800-160=640
640/800=.8
.8=80%
ppls answer correct for a brainliest answer and points.
Answer:
12y + 2y² or 2y² + 12y
Step-by-step explanation:
4(2y + 3y) becomes 8y + 12y:
4 × 2y = 8y4 × 3y = 12yy(2y - 8) becomes 2y² - 8y:
y × 2y = 2y²y × -8 = -8y8y + 12y + 2y² - 8y = 12y + 2y² (the 8y's cancel out)
Answer: 12y + 2y² or 2y² + 12y
Hope this helps!
work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
Answer:
x = 3.08
Step-by-step explanation:
Area formula:
A = 1/2bhThe height is:
h = (x + 2)sin 45° = (x + 2) ×√2/2Substitute the value for area and set equation:
4√2 = 1/2 × (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)Note the second root ignored as negative
Answer:
x = 3.08 (3 s.f.)
Step-by-step explanation:
Area of a Triangle (using sine)
[tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]
where:
a and c are adjacent sidesB is the included angleGiven:
Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°Substitute the given values into the formula:
[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]
[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]
[tex]\implies (2x-3)(x+2) =16[/tex]
[tex]\implies 2x^2+4x-3x-6=16[/tex]
[tex]\implies 2x^2+x-22=0[/tex]
Use the Quadratic Formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]
[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]
As distance is positive:
[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]
A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability of not spinning a green?
Answer:
3/4
Step-by-step explanation:
green takes up 1/4 so the rest that arnt green is the answer
The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?
A. 12
B. 21
C. 9
D. 3
E. 15
D.
Explanationbecause the number have 3
Step-by-step explanation:
A+B+C = 30
A = 4C
B = A+3
=> 4C+4C+3+C = 30
9C + 3 = 30
9C = 30-3
9C = 27
C = 3
Therefore, the age of Cindy is 3 years old
(option D)
Find the cube of the number 50
Answer:
125000
Step-by-step explanation:
Someone plz help me :(
Answer: 5 : 12
Step-by-step explanation:
the total flower = 5 + 7 = 12
so tulips to total flowers = 5 : 12
please give me a brainliest answer
Answer:
the answer is D
Step-by-step explanation:
hopefully im right
What is the slope of the line that passes through the points (-4,-2) and (-4,22)
Answer:
0
Step-by-step explanation:
( x1, y1 ) = ( - 4, - 2 )
Here,
x1 = - 4
y1 = - 2
( x2, y2 ) = ( - 4, 22 )
Here,
x2 = - 4
y2 = 22
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )
= ( 22 + 2 ) / ( - 4 + 4 )
= 24 / 0
= 0
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.
El área del paralelogramo, en centímetros cuadrados, es igual al producto de su base por su altura, ambos en centímetros. En consecuencia, el área de la figura geométrica es la siguiente:
[tex]A = (13\,cm)\cdot (8\,cm)[/tex]
[tex]A = 104\,cm^{2}[/tex]
El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.
Invitamos cordialmente a ver esta pregunta sobre paralelogramos: https://brainly.com/question/17205536
is it true 30 is 6 times as much as 5?
Answer:
Yes, its true that 30 is 6 times as much as 5.
6×5=30.
Answer:
yes
Step-by-step explanation:
because 6x5=30
how to use union in the real world?
Answer:
To overcome such type of real world problems we use union. Unlike structures union occupies single memory location to store all its members. So, unions are helpful when you want to store value in single member from a set of members. Size of union is defined according to size of largest member data type.
Step-by-step explanation:
In union, all members share the same memory location. For example in the following C program, both x and y share the same location. If we change x, we can see the changes being reflected in y. #include <stdio.h> // Declaration of union is same as structures.
which statements are true ? —4 < — 1
2 < —4
—4 = 4
— 1 < 4
Answer:
-4<-1 and -1<4
Step-by-step explanation:
answer the equation please <33
Answer: Total cost = 4m
Step-by-step explanation:
Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m
Answer:
dₙ = (m-1)*4
Step-by-step explanation:
d1: initial dollar d1=0
dₙ = (m-1)*4
d₁ = (1-1)*4 = 0
d₂ = (2-1)*4 = 4
d₃ = (3-1)*4 = 8
if you are struggling for math download the fastmath app on your moblie phone then scan the eqation to get a answer fast. also you can find the steps to help undersatnd
Answer:
thank you :) for the points
Answer:
Thanks
Step-by-step explanation:
can anyone help me please I need the answer to this fast
Answer:
y = 4/7x - 22/7Step-by-step explanation:
Take 2 points:
(-5, -6) and (2, -2)Find the slope:
m = (- 2 + 6)/(2 + 5) = 4/7Find the y- intercept:
-6 = 4/7(-5) + b-6 = - 20/7 + bb = - 6 + 20/7b = - 22/7The line is:
y = 4/7x - 22/7