Answer:
There is a dilation and the scale factor is 4
Step-by-step explanation:
The details that complete the question are:
△ABC
A(2, 5), B(6, 10), C(9, −1)
△A′B′C′
A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)
Checking if there is dilation or not
To do this, we make use of the following scale factor (k) formula:
[tex]k = \frac{Original}{Image}[/tex]
Using A and A'
[tex]k = \frac{A}{A'}[/tex]
[tex]k = \frac{(2,5)}{(0.5,1.25)}[/tex]
Factorize the numerator
[tex]k = \frac{4(0.5,1.25)}{(0.5,1.25)}[/tex]
[tex]k = 4*\frac{(0.5,1.25)}{(0.5,1.25)}[/tex]
[tex]k = 4 * 1[/tex]
[tex]k =4[/tex]
Using B and B'
[tex]k = \frac{B}{B'}[/tex]
[tex]k = \frac{(6,10)}{(1.5, 2.5)}[/tex]
Factorize the numerator
[tex]k = \frac{4(1.5, 2.5)}{(1.5, 2.5)}[/tex]
[tex]k = 4*\frac{(1.5, 2.5)}{(1.5, 2.5)}[/tex]
[tex]k = 4 * 1[/tex]
[tex]k =4[/tex]
Using C and C'
[tex]k = \frac{C}{C'}[/tex]
[tex]k = \frac{(9, -1)}{(2.25, -0.25)}[/tex]
Factorize the numerator
[tex]k = \frac{4(2.25, -0.25)}{(2.25, -0.25)}[/tex]
[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]
[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]
[tex]k = 4 * 1[/tex]
[tex]k =4[/tex]
The above shows that k is 4 in all cases.
Hence, there is a dilation and the scale factor is 4
I'll mark you as the brainiest if you get this correct
thx xxx
This homework is due tomorrow
thx sm for your help
Answer:
12
Step-by-step explanation:
the absolute value from -2 to 26 is 28 you have 4 places after -2 so 28/4=7
you increase by 7 each time. -2+7=5 5+7=12 12 is the third place
if one burger cost $60 what will 15 burgers cost
Answer:
60 • 15 = $900
Step-by-step explanation:
jsjsjjsjjs
what is the difference between associative property,communitive property,and distributive property? (will mark brainliest)
Answer:
Commutative switches the numbers, while associative keeps the numbers positions but changes the parentheses. I hope that helped
The slope of the line below is -2. Use the cordinates of the labeled point to find a point-slope equation of the line
Answer:
We can not see the image, so i will answer this in a general way.
We know that a linear equation can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
In this case, we know that this line has a slope equal to -2, then the line is:
y = -2*x + b
Now, suppose that in the image we can see that this line passes through the point (j, k)
Then we can replace x by j, and y by k in the line equation, to get:
k = -2*j + b
Now we can solve this for b:
b = k + 2*j
Then we can conclude that a line with a slope equal to -2, that passes through the point (j, k) is:
y = -2*x + (k + 2*j)
what is the unit rate of a car going 780 miles in 20 hours
Answer:
39 miles per hour.
Step-by-step explanation:
780/20 = 39
Jerry bought 72 sticks of gum. There are 8 sticks of gum in a package. Draw a table using the guess, check and revise strategy to solve the equation 8 times p = 72. 8p=7
Answer: Make a chart that has 2 rows of 10 boxes each and copy this info below.
Step-by-step explanation: Good luck! :D
Packages - Sticks of gum
1 - 8
2 - 16
3 - 24
4 - 32
5 - 40
6 - 48
7 - 56
8 - 64
9 - 72
1.Find Each of the following angle measures. Round your answer to the nearest degree. Show your work in the space below
Please help meeeeee
Answer:
a. m<DAB = 36°
b. m<B = 54°
c. m<C = 74°
Step-by-step explanation:
a. m<DAB = m<CAB + m<CAD
m<DAB = 20° + 16° (substitution)
m<DAB = 36°
b. m<B = 180° - (90° + m<DAB)
m<B = 180° - (90° + 36°) (substitution)
m<B = 54°
c. m<C = 180° - (90° + m<CAD)
m<C = 180° - (90° + 16°) (substitution)
m<C = 74°
Any way someone has a step by step process to solve for x?
-2x+9=21
-2x + 9 = 21
Step 1: subtract 9 from both sides.
-2x = 12
Step 2: divide both sides by -2.
X = -6
In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 points. How many points did Chrissy have in total after two rounds?
Factor the following expression completely: 49d +7
Answer:
7(d+1)
Step-by-step explanation:49d+7
7(d+1)
Answer:
7 (7d + 1)
Step-by-step explanation:
4,5,10,8,4,8,7,6 range
Answer:
10-4=6
Step-by-step explanation:
The range is the difference between the biggest and smallest number. In this case, 10 is the biggest number and 4 is the smallest. So we do 10-4, which gives us 6, so 6 is the range.
Find the values of x and y in the equation below.
Answer:
6
18
not negatives!!!!!
Step-by-step explanation:
One year, the population of a city was 252,000. Several years later it was 201,600. Find the percent decrease.
Answer:
0010110010100100001010010010101010010101010010010
001010010010100010010101000001010000101001010010
Respuesta en número binarios
A. 45
B. 20
C. 15
D. 80
HELP ME PLEASE I NEED IT!
Answer:
Step-by-step explanation:
What is the Area of a rectangle with the length of 1/3 yard and the width of 3/4 yard please someone help!
Answer:
here.
Area = (length) x (width) .
Area = (1/3 yard) x (3/4 yard)
= (1/3 x 3/4) yard²
= 1/4 yard² .
Answer:
3/12
Step-by-step explanation:
1/3=4/12
3/4=9/12
4/12*9/12=3/12 (.25)
A sea turtle descends 28 feet from the surface of the ocean and then ascends 5 feet. Then it descends 9 feet and repeats this descent 4 times. How many feet below the surface is the turtle then ?
Answer: 59 feet
Step-by-step explanation:
First the sea turtle descended 28 feet.
It then ascends 5 feet which means it is now:
= 28 - 5
= 23 feet below surface
It then descends 9 feet and repeats that descent 4 time:
= 9 * 4
= 36 feet below the surface
Total distance below the surface:
= 23 + 36
= 59 feet
Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3
Answer:
x = 3
y = -3
Step-by-step explanation:
We have two equations and are asked to solve for x and y.
y = -3x + 6
3y = -2x - 3
Substitute the y in the first equation in the second equation :
3(-3x + 6) = -2x - 3
Distribute :
-9x + 18 = -2x - 3
Solve for x by isolating it :
Subtract 18 from both sides :
-9x = -2x - 21
Add 2x to both sides :
-7x = -21
Divide -7 from both sides :
x = 3
Replace x in the first equation :
y = -3(3) + 6
y = -9 + 6
-9 + 6
y = -3
Please help asap:) thanks in advance !
Answer:
The photo is not showing up
2)
Apply the Pythagorean Theorem to determine the correct statements.
A) If the sides of a right triangle are of length 8 and 15, its hypotenuse is 17.
B) If the sides of a right triangle are of length 7 and 24, its hypotenuse is 35.
C) If the sides of a right triangle are of length 9 and 40, its hypotenuse is 41.
D) If the sides of a right triangle are of length 21 and 28, its hypotenuse is 36.
E) If the sides of a right triangle are of length 12 and 16, its hypotenuse is 20.
Answer:
A, C, and E are true.
Step-by-step explanation:
These are all done the same way.
Look at (A). If the statement is true, then 8² + 15² = 17², because the Pythagorean theorem says that if you square the lengths of the two shorter sides of a right angle, their sum will equal the square of the longest side: a² + b² = c².
8² = 64. 15² = 225. So 8² + 15² = 64 + 225 = 289.
So if the statement is true, then 289 = 17².
And yes 17² = 289, so the statement is true.
On the other hand, (B) is false. 7² + 24² = 49 + 576 = 625
But the third side squared, 35² = 1225, not 625.
Determine m∠DFG :))))
=========================================================
Explanation:
We can apply the remote interior angle theorem.
The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.
The remote interior angles add to this exterior angle.
(angle FGH) + (angle GHF) = angle DFG
(89) + (5x-7) = 14x+1
5x + 82 = 14x + 1
82-1 = 14x-5x
81 = 9x
9x = 81
x = 81/9
x = 9
If this is the case, then,
angle DFG = 14*x+1 = 14*9+1 = 127
Please help! Im failing math Rn! Please help!
Answer:
rickrolled.
Step-by-step explanation:
¯\_(ツ)_/¯
you won't learn by asking others. do it yourself.
Answer:
K
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST
Toby wants to make 5 pizzas using the same amount of sauce per pizza. He has 10 5/7cups of sauce. How many pizzas can he make?
You have 17 1/2 pounds of frozen fish in each of 7 sacks. How many pounds of fish do you have the total?
Answer:
you have 8.5 pounds of fish
Step-by-step explanation:
1/2 =0.5 and 0.5 ×16 =8
and thata will leave one half left which means you will have 8.5 pounds of fish the pizza one i'm not too sure about you would have to tell how much sauce there is supposed to be per pizza then i would be able to answer.
Hope this helps
Watch help video
If 2x + 5y = 10 is a true equation, what would be the value of -4(2x + 5y)?
Answer:
-40
Step-by-step explanation:
2x + 5y = 10
-4(2x + 5y) = -4 * 10
-4(2x + 5y) = -40
-f(3)
Function for algebra
Answer:
-3f
Step-by-step explanation:
i hope this helps
The point K is the midpoint of JL.
Find the location of L.
Answer:
-5
Step-by-step explanation:
you get -29 - -17 =-12 so you get -17- -12=-5
The location of point L is at x = -5.
We have a point K which is mid - point of JL.
We have to find the location of L.
What is Mid - point of Line Segment?The mid - point of a line segment is a point on a line that divides it into two equal parts. For a line of length x, the mid - point divides it into two equal parts each of length [tex]$\frac{x}{2}[/tex].
According to the question -
Assume that the Point L is at position x on the number line.
Point J = - 29
Point K = - 17
Since, x is the mid - point, therefore -
[tex]$-17 = \frac{-29+x}{2}[/tex]
- 34 = -29 + x
x = -34 + 29
x = - 5
Hence, the location of point L is at x = -5.
To solve more questions on mid - points, visit the link below -
brainly.com/question/19131708
#SPJ2
-
A flying disc has a 434 inch radius. What is its approximate circumference, rounded to the nearest inch?
ur mother is beautiful and my mom is more beautiful
Answer:
Answer is 2726.9
Step-by-step explanation:
I hope it's helpful!
The music artist known as “The Weekend” purchased a lot of bandages in January. The city where he purchased the bandages charges 12% sales tax. He paid $28.89 in sales tax. What was the cost of the bandages before sales tax was added on? What was the total amount The Weekend has to pay?
Answer:
240.75
Step-by-step explanation:
i might be wrong l mao
ZOOM IN IF YOU CANT SEE THE PIC. I NEED HELP ASAP!
Answer:
The answer is the last one!! 3/14
Step-by-step explanation:
1. A partially completed chart shows the hierarchy of a set of polygons.
Move a term to each blank box to complete the chart.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the attached file for the complete solution.
Answer:
1 polygon
2 quadrilateral
3 parallelogram
4 rectangle 5 rhombus
6 square
If someone is the age of 500 divided by two then how old will they be in 500 years? THIS IS 25 POINTS!!!!!!
Answer:
I think its 250
Step-by-step explanation:
500 divided by 2=250