triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.
Step-by-step explanation:
The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:
A( 0,0 ), → (0,0)
B(2, 0) → (-2,0)
and C(0, 4). → (0,-4)
Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)
Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:
(0,0) → (0,0)
(-2,0)→( -6,0)
(0,-4) → (0,-12)
The answer is
A' (0,0) B' (-6,0) C' (0,-12)
The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.
help will give brainliest
Answer:
18 and 32
Step-by-step explanation:
Simplify this radical expression, shown in the following image.
Answer:
ab²√b
Step-by-step explanation:
original problem can be changed to the square root of a²b²b²b
everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²
the b inside stays there because its exponent is one
A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?
Answer:
The bike will cost $481.50
because
10% off of 500 is 50
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get
$481.50
can someone please help me out with this problem ? i been trying to do this for like 2 days now and i still don’t get it .. also i need some tips on how i can remember this when im doing a different problem
Answer:
Step-by-step explanation:
the Pythagorean theorem is
c is the hypotenuse which is the side opposite of the right angle
plug the numbers into the Pythagorean theorem
[tex]x^2+(\sqrt{26})^2=13^2[/tex]
when squaring a square root, just take the number in the radical and get rid of the radical
[tex]x^2+26=169[/tex]
subtract 26 from both sides
[tex]x^2=[/tex][tex]143[/tex]
find the square root of 143
143 is prime so it can just be written as
[tex]x=\sqrt{143}[/tex]
Quadrilateral WXYZ has vertices W(–3, 4), X(–3, 1), Y(2, 1), and Z(2, 4). What are the coordinates of the image of point W after a reflection across the y-axis?
A. w-(3, 4)
B. w- ( 3 , - 4 )
C. w- ( - 3 , - 4 )
D. w- ( 4 , - 3 )
Answer: A
Step-by-step explanation:
When you reflect over the Y axis you do (-x,y)
And so (-3,4) = (3,4)
how do i find the values of x and y that make the quadrilateral a parallelogram
The values of x and y that make the quadrilateral a parallelogram are, X = 25 & Y = 15
What is quadrilateral?Quadrilateral are the type of polygon who has 4 sides, on the basis of length and angle between sides we can further classify quadrilateral into following categories;
for example, Rectangle, Square, Parallelogram, Rhombus, Trapezium
Given that,
A parallelogram whose all the angles are,
(4x + 13)°, (4y + 7)°, (3x - 8)°, (5x - 12)°
It is known that,
Opposite Interior angles of parallelogram are equal
so,
⇒ (4x + 13) = (5x - 12)
⇒ x = 25
⇒ (4y + 7) = (3x - 8)
⇒ 4y + 7 = 75 - 8
⇒ 4y = 60
⇒ y = 15
Hence, the values of x and y are respectively 25, 15
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who created NAACP? Please Help!!!
Answer:
NAACP Founder Charles Edward Russell
Step-by-step explanation:
from g o o g l e
Answer:
Derrick Johnson
Step-by-step explanation:
solve for x and round to the nearest tenth. please help! i will mark brainliest.
Answer:
25 divided by 40=0.625 rounded is 0.6 is ur answer!
Step-by-step explanation:
Determine whether the graph represents a function. Explain.
Answer:
it does not represent a function
Step-by-step explanation:
it is not liner
Answer:yes
Step-by-step explanation:
each x value has one y value
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
height (h)=
radius (r)=
Answer:
So, The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
Step-by-step explanation:
P.S - The exact ques is -
As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
As given,
V = [tex]9\pi[/tex]
⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]
So,
The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
In Case I-
When r = 3, h = 3
(3)² ×3 = 9×3 = 27
Satisfied
Case II-
r = 1, h = 27
(1)²×27 = 1×27 = 27
Satisfied
Case III-
r = 2, h = 6.75
(2)²×6.75 = 4×6.75 = 27
Satisfied
If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
What is the volume of the cone?The volume of the cone is the volume occupied by the cone. It is given by the formula,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]
where r is the radius of the base, and h is the height of the cone.
Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]
Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.
Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,
[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]
Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
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how many perfect squares less than 1000 are divisible by 8. Will pick brainliest if possible!!!!!!!!!!!!!
Answer:
30 (not including 1 because 1 is not BETWEEN 1 and 1000).
Step-by-step explanation:
A room is 12 feet wide by 35 feet long. How far (in feet) is it from one corner of the room to the opposite corner measuring diagonally?
Answer:
The Correct Answer is 37 feet long.
Step-by-step explanation:
The Calculator can confirm, if we know that the 2 sides small sides are 12 and 35 we know that the hypotenuse is 37 feet long, therefore your answer is...
37 feet long
Hope I Helps!
What is the value of the expression of 1/2 divided by 6
Answer:
0.083
Step-by-step explanation:
Answer:
3 is it
Step-by-step explanation:
20% of the tickets sold at a school carnival were early-admission tickets. If the school sold 30 tickets in all, how many early-admission tickets did it sellz?
Answer:
6 early-admission tickets.
Step-by-step explanation:
20% / 100 = 0.2 ; Dividing a percentage by 100 will give you its actual value, instead of the percentage.
0.20 x 30 tickets = 6 early-admission tickets. ; What we're saying here is that since 0.20 and 20% are the same, we can figure out what 20% of 30 is, which is 6.
In ARST, the measure of T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of R to the nearest degree.
9.7
7.7
X
T
R
Answer:
Submit Answer
Answer: 53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Can someone help me find out what’s the nth formula equation
An example is where it should look like 6•5^n-1
Or 7n-4 (that’s an example) if it’s correct I’ll mark u brainiest.
Part (a)
This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.
To get the nth term of an arithmetic sequence, we'll use the formula below
an = a + d(n-1)
In this case, a = 14 is the first term and d = 4 is the common difference
So we have these steps
an = a + d(n-1)
an = 14 + 4(n-1)
an = 14 + 4n - 4
an = 4n + 10
Answer: 4n + 10
============================================
Part (b)
This sequence is geometric since we multiply each term by 4
The common ratio is r = 4 and the start term is a = 2.
So the nth term is....
an = a*(r)^(n-1)
an = 2*(4)^(n-1)
Answer: 2*(4)^(n-1)
What is the value of X?
14
//
3
21
Answer:
2
Step-by-step explanation:
3/21=x/14
X=2
Answer is 2
please help i am timed
Answer:
A. (x, y) -> (0.2x, 0.2y)
Step-by-step explanation:
I'll test this out with just point S if that's fine.
Point S's coordinates are (5, -5), as seen on the coordinate plane.
However, Point S' has coordinates of (1, -1).
Divide 1 by 5 to get 1/5. You can also do -1/-5 to also get 1/5 (Remember, dividing two negatives gets you a positive.).
So you can conclude that the dilation has the x and y coordinates shrinking to 1/5 of the original. Both coordinates shrink at the same rate, so B and C are out. The figure is NOT getting bigger so D is also incorrect. This leaves A ((x, y) -> (0.2x, 0.2y)) as our answer.
Answer:
A
Step-by-step explanation:
In this hexagon, all the angles are equal. What is the measure of angle x°?
Answer:
Option - b: 60
Step-by-step explanation:
Sum of exterior angle = 360
Exterior angle = 60
6x = 360
x = 360 / 6 = 60
Which expressions have a variable tat is squared or cubed? Choose ALL that apply.
Answer: n^3 and a^2
Step-by-step explanation:
Answer:
n^3 and a^2
Step-by-step explanation:
1. Given 10 items, how many ways can 5 of the items be arranged?
Answer:
2
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINLIEST!
Answer: A - 1, B - 2, and C - 3.
Step-by-step explanation:
Situations are a, b, and c. Equations are 1, 2, and 3.
3. Are the points on the line part of the solution set or not?
a. Yes, they are part of the solution
b. No, they are not part of the solution
c. Maybe, they are part of the solution
d. None of the above
Answer:
a. Yes, they are part of the solutionSimplify the expression using properties of operations.
18t−3−5t+8
Answer:
13t+5
Step-by-step explanation:
A circle has a radius 5cm. Using area = πr² calculate the area of the circle. Give your answer to 2 decimal places
Answer:
[tex]Solution,\\Radius(r) = 5cm\\Area of circle = \pi r^2 = \pi (5)^2 = 25\pi =78.54cm^2[/tex]
A car was reduced in price by 13% to £17400 what was original price
3y = x -4
5x - 6y = 8
How many solutions does the system have?
O One solution
O No solution
0 Infinitely many solutions
Answer:
can you pls show more......
Step-by-step explanation:
The left side of a logarithmic equation is shown.
log (3 + 2) + log (3 + 3) + log (7 - 2) = ...
When the equation is solved, the potential solutions are r = {5,3,1, 0}. Which solutions must be excluded?
A.-5, - 1,0
B.-5,8
C.-1,8
D.-5,-1
Solve the system of equations for x, y, and z. Please explain/step-by-step so I can understand. Thanks!
x + y = -7
y + z = -7
x - z = 0
Answer:
Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.
(2x + y + z) + (2x - y - z) = (3) + (9)
2x + y + z + 2x - y - z = 3 + 9
4x = 12
x = 3
So, x must equal 3.
Now, if we put 3 into each equation, we have the following equations:
6 + y + z = 3
6 - y - z = 9
3 + y - z = 0
Now, we can move all the numbers to the right side:
y + z = -3
-y - z = 3
y - z = -3
Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.
(-y - z) + (y - z) = (3) + (-3)
-y -z + y - z = 0
-2z = 0
z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)
So, now we have x = 3 & z = 0.
Now, pick any of the original equations and plug these values of x & z in, and you will get y.
2x + y + z = 3
2(3) + y + 0 = 3
6 + y + 0 = 3
6 + y = 3
y = -3
So, now we have x = 3, y = -3, & z = 0.
These are the only x, y, and z values that work for all 3 equations