Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
To learn more about reflection click :
https://brainly.com/question/4681298
#SPJ2
John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."
Answer:
Let the no of quarters be x
According to given,
x + (x+4) + (x+4)/2 = 6
x + (x+4) + (x + 8)/2 = 6
x + x + 4 + (x + 8)/2 = 6
[2 (2x + 4) + (x + 2)]/2 = 6
4x + 8 + x + 2 = 6 × 2
5x + 10 = 12
5x = 12 - 10
5x = 2
x = 2/5
•°• x = 0.4
1 doller = 4 quarter
0.4 doller = p
p = 0.4 × 4 = 1.6
•°• There are 1.6 quarter.
ATQ
[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]
[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]
[tex]\\ \sf\longmapsto 4x+12=6[/tex]
[tex]\\ \sf\longmapsto 4x=-6[/tex]
[tex]\\ \sf\longmapsto x=-3/2[/tex]
[tex]\\ \sf\longmapsto x=|-1.5|[/tex]
[tex]\\ \sf\longmapsto x=1.5[/tex]
6. Find the average rate of change of Pete's height from 3 years
old to 5 years old.
Choices:
o 2 inches per year
o 4 inches per year
O 8 inches per year
Answer:
The Answer is "4 inches per year"
Step-by-step explanation:
To find the Average Rate of Change, you use:
[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
So when you insert the numbers from the table, you get:
[tex]\frac{45-37}{5-3}[/tex]
After solving the answer you get is 4. So the avg rate of change is 4 inches per year.
During British History from 1550-1650. What was going on in Britain during the time just before, during and just after Shakespeare lived? Who were the rulers? What was the political atmosphere? What were the people concerned about? How did the people live?
Answer:
What was going on in Britain during the time just before Shakespeare lived?
Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.
Step-by-step explanation:
please mark me brainliest!!
The period from 1550-1650 in British history was a time of significant political, social, and cultural change.
What is British History?England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.
Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:
Queen Elizabeth I reigned as Queen of England from 1558 until her death in 1603.Religious strife: The 16th century in England saw religious strife, with tensions between Catholics and Protestants leading to violence and persecution.Political unrest: Throughout the 17th century, England experienced a number of political conflicts and upheavals, including the English Civil War between royalists and parliamentarians.Economic changes: Significant changes occurred in the English economy during the 16th and 17th centuries, including the expansion of international trade and the rise of capitalism.Early modern England's daily life was marked by significant social stratification and inequality.Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.
For more details regarding British History, visit:
https://brainly.com/question/29880473
#SPJ2
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
Which of the following shapes is convex?
М.
OA)
OB)
W
OC)
OD
Answer:
I think the correct answer is c hope this helps
Is mLBAF = mLCEF? Explain.
Than you
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~
So, the Correct choice is ~
Yes, They are Alternate interior Angles[tex]꧁ \large \sf{itz0kaul } \: ꧂[/tex]
4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?
Answer:
5.5 ft
Step-by-step explanation:
because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base
Solve the equation.
2x - 3 + 4x = 21
O x= -12
O x= -6
O x= 4
O x= 6
The ratio of the measures of the three angles of a triangle is 6:9: 10.
Find the angle measures.
Answer:
Angles are [tex]43.2^0,64.8^0,72^0[/tex]
Step-by-step explanation:
Sum of interior angles of triangle is [tex]180^0[/tex]
The ratio of the measures of the three angles of a triangle is [tex]6:9: 10[/tex]
Hence the angles can be [tex]6x,9x,10x[/tex]
We have
[tex]6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0[/tex]
Angles are [tex]43.2^0,64.8^0,72^0[/tex]
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answer:
mC=mA - base angles of an isosceles triangle
mA=68
Cole had 20 dollars to spend on 3 gifts. He spent 11 9 /10 dollars on gift A and 5 3 /5 dollars on gift B. How much money did he have left for gift C?
Answer:
$2.50
Step-by-step explanation:
11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50
20 - 17.50 = 2.50
what is the coefficient in 5z -4m -2x
Answer:
The coefficients are 5, -4, and -2.
Step-by-step explanation:
Coefficients refer to the numbers that are directly in front of variables. (Variables are any given letter, in a math problem, that represent unknown number values).
With this being said, the coefficients in this expression are 5, -4, and -2.
Hope this helps you :)
Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?
Im not in highschool im in 5th grade btw
PLEASE HELP!!
Answer:
3840
Step-by-step explanation:
320 boxes; 12 donuts in each box
This is a multiplication problem.
320 × 12 = 3840
Answer: 3840
A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and find the correct answer
Answer:
x = 403
Step-by-step explanation:
We can start off by rewriting the equation as
x - 28 = 375
Next, we can further restate it as
375 + 28 = x
So, all we need to do to find the value of x is add 375 + 28, which is 403
Student Error
The student made the error of rewriting the equation incorrectly.
He/She/They subtracted 28 from 375 instead of adding.
Thus, they got 347
7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!
The distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
What is resolution of vectors?If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.
Given is that body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.
[A] -
We can write the total distance covered along the slant as a function of [x] and [y] components as -
h = h[x] i + h[y] j
Now -
h[x] = 4tcos(22°)
Now -
F = ma
F = m{dv/dt}
Fdt = mdv
mg sin(22°)dt = mdv
dt = {1/g sin(22°)}dv
∫dt = ∫ {1/g sin(22°)}dv
t = v/g sin(22°)
So, we can write -
h[x] = 4 cos(22°)v/g sin(22°)
h[x] = {4v/g}{cot (22°)}
Similarly -
h[y] = 4t'cos(22°)
F = ma
F = m{dv/dt}
Fdt = mdv
N cos(22°) - mg = F
{N cos(22°) - mg}dt' = mdv
{mg cos(22°) - mg}dt' = mdv
{g cos(22°) - g}dt' = dv
dt' = dv/{g cos(22°) - g}
∫dt' = ∫dv/{g cos(22°) - g}
t' = {v/g(cos(22°) - 1)}
So -
h[y] = 4 x {v/g(cos(22°) - 1)} x cos(22°)
h[y] = {4v/g(cos(22°) - 1)} cos(22°)
So -
Distance travelled across the slant -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²
[2] -
Yes, it will slide down again.
Therefore, the distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
To solve more questions on resolving vectors, visit the link below -
https://brainly.com/question/17264346
#SPJ5
{Question in english language -
A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}
A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Step-by-step explanation:
complementary angles mean that together they have 90°.
that means that sin(A) = cos(C) and vice versa.
so, the values are the same
cos(C) =24/25
sin(A) = 20/29
Type the correct answer in the box.
3 units
8 units
9 units
3 units
21 units
The area of the figure is
square units.
Plz help
Answer:
I think but not sure we read this question by 3 unit
20(d – 4) + 4d *less than sign and a line under it* 8
Answer:
the anser od 20(d-4)+4d is5
at the water treatment plant, a half empty tank is being filled with waste water at a rate of 850 gallons per minute. After 15 minutes the tank has 35,000 gallons of waste water. Write an equation in standard form that relates the amount of waste water in the tank, y , to the number of minutes, x, that the tank has been filling
Answer:
850x = y
Step-by-step explanation:
no links pls help
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(5/2w) + w
B.
5/2w + w
C.
3w + 10/2
D.
6w + 5
[tex]\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}[/tex]
Answer these also with standard pls
a. Slope 2 and y-intercept 3
Slope-intercept form: [tex]\bold{y=2x+3}[/tex]
Standard form: [tex]\bold{2x-y=-3}[/tex]
b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6
Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]
Standard form: [tex]\bold{3x-5y=30}[/tex]
c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9
Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]
Standard form: [tex]\bold{3x+2y=18}[/tex]
d. Slope -3 and y-intercept 0
Slope-intercept form: [tex]\bold{y=-3x}[/tex]
Standard form: [tex]\bold{3x+y=0}[/tex]
Latoya took a taxi home from her best
friends house. The taxi charged an initial
fee of $3 plus an additional $1.75 per mile.
write an expression that represents the
amount of money Latoya will spend on
the taxi after traveling x amount of
hours.
Answer:
y=1.75x+3
Step-by-step explanation:
Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour
Answer:
y=1.75x+3
Step-by-step explanation:
Do you mean x amount of miles? if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go. You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.
WILL GIVE BRAINLY, THANKS, AND 5 STARS
Answer:
C
Step-by-step explanation:
Long division
I hope this helps have a great day :)
Answer:
The answer is the last one
Step-by-step explanation:
Answer:
= 66 R 30
= 66 30/61
4056 divided by 61 equals
66 with a remainder of 30
Solution:
0 0 6 6
6 1 4 0 5 6
− 0
4 0
− 0
4 0 5
− 3 6 6
3 9 6
− 3 6 6
3 0
What is 0.02349 written in standard form to 3 significant figures
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
[tex]0.002349 \\ estimate \: \: \: it \\ = 0.00235 \\ = 0.00235 \times 1000 \\ = 2.35 \\ therefore \\ 0.00235 \\ = 2.35 \times \frac{1}{1000} \\ = 2.35 \times {10}^{ - 3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which situation would use the midpoint formula?
a-Calculate the distance from Trenton to Jackson using a map.
b-Find the slope between two points.
c-Two friends live across town from each other. A park located in the center of town is the same distance from each friend. Find the location of the park when given the location of the each friend's house.
d-Locate the ordered pair (5,-2) on a coordinate plane.
(can chose more than one)
Answer:
A and C
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle.
Answer:
5.76 cm
Step-by-step explanation:
When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,
R = side * sqrt (3) / 6
Here, side is 20 cm.
And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.
So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm
help please like desperately in need of help
Answer: -8x^2 -2x+13
Step-by-step explanation:
group liked terms
-6x^2-2x^2-2x+5+8
Add numbers 5+8=13
-6^2-2x^2-2x+13
add similiar elements -6x^2-2x^2=-8x^2
-8x^2 -2x+13
Alice bought 4 apples and 8 bananas for $4. Betty bought 6 apples and 10 bananas for $5.50
each fruit cost?
Answer:
Apples cost 50 cents and bananas 25 cents.
please mark brainliest if this helped
Step-by-step explanation:
1) Assign variable (x,y) to apples and bananas.
x=apples
y=bananas
2) Write system of equations for Alice and Betty.
Alice: 4x+8y=4
Betty: 6x+10y=5.5
3) Use substitution, elimination, or graphing to solve for x and y.
x=0.5
y=0.25
Which graph represents the solution set of -2y > 7x + 4?
The equation of a line in point-slope form is expressed as:
y = mx + b
m is the slope of the lineb is the y-interceptGiven the inequality -2y > 7x + 4, this can also be expressed as:
-2y > 7x + 4
y < -7/2x -4/2
y< -7/2x - 2
This shows that the line will be a dashed line and cuts the y-axis at y= -2
Learn more on inequality graph here: https://brainly.com/question/11234618