The statement is that when ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′, their corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar. The correct answer is option B
In order to prove the given statement, we will need to know that dilation is a transformation in which a figure is stretched in a particular direction by a certain factor (scale factor) while keeping its shape constant. We use this transformation to create similar figures.
When a figure is dilated, all of its corresponding sides are stretched, and the angles remain the same.The corresponding angles are the angles that have the same location in the two similar figures. The corresponding sides are the sides that have the same position in the two similar figures.
Since the triangles are similar, we can say that the corresponding sides of the triangles are proportional. On the other hand, the corresponding angles are congruent.
The correct option is B, which states that the triangles' corresponding angles are congruent, their corresponding sides are proportional, and therefore the triangles are similar.
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I'm still kinda confused about what a direct proportion is, if anyone could explain it to me, that would be great!
Answer:
Two quantities A and B have an equal ratio of a constant value direct proportion.
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant.Step-by-step explanation:
Marco bought 5 movies for $53. 10. Vance bought 3 movies for $31. 71. Who got the better deal?
Answer: Vance.
Step-by-step explanation: Vance got the better deal. this is because Marco bought 5 movies, and paid $53.10. Vance paid $31.71, and saved $2.50, because 53.10 rounds to 50, and 31.71 rounds to 30, and Vance added $1.71, and Marco added $3.10, making Vance get the better deal.
For 0° ≤ x < 360°, what are the solutions to cos(StartFraction x Over 2 EndFraction) – sin(x) = 0?
Answer:
C
Step-by-step explanation:
Ed2021
The solutions of the given trigonometric equation are 60°, 180°, 300°.
What is a trigonometric equation?A trigonometric equation is an equation that consists of one or multiple trigonometric ratios of unknown angles.
The given trigonometric equation is:
cos (x/2) - sin (x) = 0
⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0
⇒ cos (x/2) [1 - 2sin (x/2)] = 0
Therefore, cos (x/2) = 0 = cos (90°) (x/2 can't be 270°)
⇒ x = 180°
Again, [1 - 2sin (x/2)] = 0
⇒ 2sin (x/2) = 1
⇒ sin (x/2) = 1/2
⇒ (x/2) = 30°, 150°
⇒ x = 60°, 300°
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What is the equation of the line that passes through the point (6,-1) and has a slope of 1?
Answer:y
=
4
3
x
−
9
Explanation:
Given -
x
1
=
6
y
1
=
−
1
Slope
m
=
4
3
Given the slope and a point, the formula for the straight line equation is
(
y
−
y
1
)
=
m
(
x
−
x
1
)
y
−
(
−
1
)
=
4
3
(
x
−
6
)
y
+
1
=
4
3
x
−
6
.
4
3
y
+
1
=
4
3
x
−
8
y
=
4
3
x
−
8
−
1
y
=
4
3
x
−
9
What is y - 2 = 3(x – 7) written in standard form?
Choose 1 answer:
A) y - 2 = -3x + 21
B y = 3x + 23
с 3x +y - 23 = 0
D 3x + y = 23
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y - 2 = 3(x - 7)[/tex]
[tex]y - 2 = 3x - 21[/tex]
Add sides 2
[tex]y - 2 + 2 = 3x - 21 + 2[/tex]
[tex]y = 3x - 19[/tex]
Subtract sides 3x
[tex] - 3x + y = - 3x + 3x - 19[/tex]
[tex] - 3x + y = - 19[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
the lines are parallel, if one line has the slope of -1, what is the slope of the other line
Answer:
-1
Step-by-step explanation:
parallel lines always have the same slope
Graph joining the points (2,3), (2,5) and (2,7) is a line parallel to y – axis. Find the equation of the line.
Plz help me!
Answer:
x = 2
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (2, 3), (2, 5), (2, 7) all with an x- coordinate 2, thus
x = 2 ← equation of vertical line
Answer:
x = 2
Step-by-step explanation:
Firstly, when a line is parallel to the y axis, the equation of the line is x = the x position common to the points, in this case, x = 2.
but if you want to calculate,
from the points,
x1 = 2, y1 = 3
x2 = 2, y2 = 5
x3 = 2, y3 = 7
using the formula,
y-y1/x-x1 = y2-y1/x2-x1
y-3/x-2 = 5-3/2-2
y-3/x-2 = 2/0
crossing we have,
2(x-2) = 0(y-3)
2x - 4 = 0
2x = 4
x = 2
Please help meh parents are yelling at me :(
Jasper is using the following data samples to make a claim about the house values in his neighborhood:
House Value
A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000
Based on the data, should Jasper use the mean or the median to make an inference about the house values in his neighborhood? (10 points)
Group of answer choices
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
Answer:
d:$167,00
Step-by-step explanation:
URGENT, WILL MARK BRANLIEST!!! PLEASE HELP PHOTO BELOW
Find the measure of Angle DBE then find the measure of ∠ABD?
Answer:
DBE=50 degrees
ABD=140 degrees
Step-by-step explanation:
CA is a line which means that it equals 180 degrees total. Subtract the other angle measurements to find that DBE is 50 degrees. Then add the angles DBE, EBF, and FBA. Hope this helps!
Visualizer
Write in point-slope form
(5,3) - 을
0
m-
(4,1) and (2-3)
I have no Idea of what to write, my teacher never taught me this. Please help
Answer:
24
Step-by-step explanation:
hope this help if it dont sorry i tried
Artie, growing a mustache? Looks good.
- Hear about Frankie?
- Yeah.
- You going to the funeral?
- No, I'm not going.
Everybody knows,
sting someone, you die.
Don't waste it on a squirrel.
Such a hothead.
I guess he could have
just gotten out of the way.
I love this incorporating
an amusement park into our day.
That's why we don't need vacations.
Boy, quite a bit of pomp...
under the circumstances.
- Well, Adam, today we are men.
- We are!
- Bee-men.
- Amen!
Hallelujah!
Students, faculty, distinguished bees,
please welcome Dean Buzzwell.
Welcome, New Hive Oity
graduating class of...
...9:15.
That concludes our ceremonies.
And begins your career
at Honex Industries!
Will we pick ourjob today?
I heard it's just orientation.
Heads up! Here we go.
Keep your hands and antennas
inside the tram at all times.
- Wonder what it'll be like?
- A little scary.
Welcome to Honex,
a division of Honesco
and a part of the Hexagon Group.
This is it!
Wow.
Answer:
Definitely not math but English
Step-by-step explanation:
what is 4/7 ( 7/8 + 2/3 ) - 3/4 ?
what is the x and y intercept ??
Answer:
The x-interceptis1 and y-intercept is-4
Answer:
x intercept: 1
y intercept: -4
Step-by-step explanation:
If you look at where the line hits the x axis, it hits it at 1. And if you look at where the line hits the y axis it hits it at -4.
A website that sells songs for downloading has two different price categories. Older songs are $0.99 and new releases are $1.29. Macy spent $15.36 downloading songs during the month. She downloaded a total of 9 songs. Write a system of equations that represents the situation where x is the number of songs Macy downloaded at $0.99 and y is the number of songs she downloaded at $1.29. You do not need to solve the equations.
Answer:
$0.99x plus $1.29y = 15.36
Step-by-step explanation:
8x-4+6x+15
I’ll give brainliest
if you answer!
Answer:
14X + 11
Step-by-step explanation:
find the distance between PQ. P(3,4) and Q(6,8)
25
20
15
5
Select the correct answer.
What is the greatest common factor of the numerator of 9x^3 - 3x^2 + 12x / 3x
A. 3x2
B. 12x
C. 3x
D. 9x3
Answer:
D is right
Step-by-step explanation:
What additional information is needed to prove
Answer:
i think its b
Step-by-step explanation:
Answer:
Choice B.
Step-by-step explanation:
BC ≅ FE.
You need 2 sides and the included angle to be congruent.
Match the following vocabulary words with the correct definition
Coefficient
DRAG & DROP THE ANSWER
Like Terms
Terms that have exactly the same amount of
variable factors
Constant
Equation
A value that makes an algebraic equation true
A term that only has numerical factors and no
variables
Solution
Two algebraic expressions that are equal
If a term has a variable, the numerical factor
before the variable
Answer:
Step-by-step explanation:
Coefficient: If a term has a variable, the numerical factor before the variable
Like Terms: A term that only has numerical factors and variables
Constant: Terms that have the exact same amount of variable factors
Equation: Two algebraic expressions that are equal
Solution: A value that makes an algebraic equation true
The correct match is given below:-
Coefficient:- If a term has a variable, the numerical factor is before the variable.
Like Terms:- A term that only has numerical factors and variables.
Constant:- Terms that have the exact same amount of variable factors.
Equation:- Two algebraic expressions that are equal.
Solution:- A value that makes an algebraic equation true.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The appropriate pairing is shown below: -
Coefficient: The numerical factor comes before the variable if a term has one.
Similar Terms: A term with only numerical variables and factors.
Terms with the same number of variables are said to be constants.
Equation: The equality of two algebraic expressions.
A value that makes an algebraic equation true is the answer.
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find the x- and y-intercepts of the line with equation 8x - 4y = -64
Answer:
x-intercept:8
y-intercept:16
Step-by-step explanation:
This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.
8x-(4×0)=-64
-8x=-64
x=8 <= the x-intercept.
Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.
(8×0)-4y=-64
-4y=-64
y=16 <= the y-intercept .
Answer:
x = 1/2
y = -8
Step-by-step explanation:
Let's solve for x.
8x−4y=−64
Step 1: Add 4y to both sides.
8x−4y+4y=−64+4y
8x=4y−64
Step 2: Divide both sides by 8.
8x/8 = 4y−64 / 8
x= 1/2 y−8
PLEASE HELP!!!!!!!!!
Answer:
this is how you solve this equation
Step-by-step explanation:
300= (5x+4)+(2x-14)+(x-10)
Step-by-step explanation:
the answer is going to be 10
solve 3(x-4) = 12x. circle your final solution
Answer:
9x-12
Step-by-step explanation:
3*x = 3x
3*-4= -12
3x - 12 = 12x
12x-3x = 9x
9x-12
Answer: x = -4/3
Step-by-step explanation:
3(x−4)=12x
Step 1: Simplify both sides of the equation.
3(x−4)=12x
(3)(x)+(3)(−4)=12x (Distribute)
3x+−12=12x
3x−12=12x
Step 2: Subtract 12x from both sides.
3x−12−12x=12x−12x
−9x−12=0
Step 3: Add 12 to both sides.
−9x−12+12=0+12
−9x=12
Step 4: Divide both sides by -9.
-9x/-9 = 12/-9
x = -4/3
Consider the number z = 5 – 5i StartRoot 3 EndRoot. What happens when z is raised to successively increasing powers?
Use the drop down menus to complete each sentence.
The modulus increases by a factor of
The argument increases by
Pi over 3.
The modulus increases by a factor of 10 and the argument increases by 5π/3.
What is the modulus of the complex number?The modulus of the complex number is the magnitude of the complex number. If z is the complex number such that z= p+qi
Then the modulus of the z will be =|z|= √p²+q²
We have,
z = 5 – 5i √3
So,
Now rewrite this given equation in the form of z = r(CosΘ + iSinΘ),
For this first calculate the modulus,
|Z| = √((5√3)² + 5²)
|Z| = √(25×3 + 25)
|Z| = √(100) = 10
And,
Argument, Θ = tan⁻¹ (b/a)
Θ = tan⁻¹ (5√3/5)
Θ = tan⁻¹ (√3)
Θ = 71
Therefore, the modulus increases by a factor of 10, and the argument increase by 5π/3.
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Answer:
Step-by-step explanation:
Answer this please, if you don’t know, don’t answer. Thanks.
Answer:
1.
B swap the order of equation
2. yes, they are equivalent and yes, they give same solution
Step-by-step explanation:
If f(x)=2x - 7 and g(x)=x^2-1, find f(g(-2)) =
Answer:
f(g(-2))=-122
Step-by-step explanation:
You need to put the f(x) ewuation into the g equation, and then solve.
ASAPPP, can someone tell me the answer for this , i don’t want to flunk this assignment:/
Answer:
B
Step-by-step explanation:
X is about 4.5 times the amount given, so B. 337 1/2
Answer:
337.5 or 337½
Step-by-step explanation:
y∞x
y=kx(where k is the constant)
75=½k
cross multiplication
75×2=k
150=k
therefore the formula connecting x,k and y is y=150x
y=150×2¼
y=150×9/4
y=1350÷4
y=337.5or 337½
Which statement about 3/5+7/10 is true?
A. The sum is a mixed number
B. The sum is a whole number
C. The least common denominator is 5
D. The least common denominator is 15
The true statement about 3/5+7/10 is (a) the sum is a mixed number
How to determine the true statement?The expression is given as:
3/5 + 7/10
Take the LCM and add both numbers
3/5 + 7/10 = (6 + 7)/10
Evaluate the sum
3/5 + 7/10 = 13/10
Simplify
3/5 + 7/10 = 1 3/10
The fraction 1 3/10 is a mixed number
Hence, the true statement about 3/5+7/10 is (a) the sum is a mixed number
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What is the equation of this line?
y=3x−2
y=13x−2
y=2x−3
y=12x−3
Answer is A. y=3x−2 (i took the quiz on k12 and this was the correct answer so it may be different depending on your school)
Answer:
y = 2x - 3( Proof is down below!! )
I hope this helped!!
-GXLDIE <3
WILL M BRAINLIEST
WILL GIVE 9000 points do have
first one right will mark brainliest :):):):):):):) !!!!!!!
M means Mark
8+7–22 Response area 3² + 2 is it = to or no
i am pretty aure its one