The coordinates of vertex B′ are ____ .
The coordinates of vertex C′ are ____.
Answer:
A'(1, 1); B'(3, 2); C'(1, 2)
Step-by-step explanation:
The original points are A(1,1 ), B(2, 3) and C(2, 1).
Reflecting the triangle across the x-axis will negate every y-coordinate; this maps
(1, 1)→(1, -1); (2, 3)→(2, -3); (2, 1)→(2, -1)
Rotating the figure 90° clockwise about the origin switches the x- and y-coordinates and negates the x-coordinate; this maps
(1, -1)→(-1 -1); (2, -3)→(-3, -2); (2, -1)→(-1, -2)
Reflecting across the line y=x will negate both the x- and y-coordinates; this maps
(-1, -1)→(1, 1); (-3, -2)→(3, 2); (-1, -2)→(1, 2)
To find the coordinates of ∆ABC after reflection across the x-axis, rotation by 90°, and reflection across y = x, we would apply these transformations to each point. Initially reflected across x-axis results in (x, -y), the 90° rotation gives (-y, x), and final reflection over y = x gives (x, -y). To find A′B′C′ we would need original coordinates, but general rule follows this pattern.
In this mathematics problem, we will find the coordinates for vertex A′, B′, and C′ of ∆A′B′C′. Given a triangle ∆ABC reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x, we need the original coordinates of A, B, and C to find A′B′C′. However, if we take a generic point (x, y), we can assume the following:
Assuming these transformations, we can find the final coordinates for A′, B′, and C′.
#SPJ12
Given:Joann has 3 green marbles 5 blue marbles and 9 yellow marbles.
The ratio is asking us to find the ratio of green and Blue marble.A ratio is a statement of how two numbers compare. It is a comparison of the size of one number to the size of another number.Ratios can be shown using the ":" to separate the numbers.Ratio of Green :Blue:Yellow =3:5:9
The ratio of green and Blue marbles =3:5.
Answer:
The equation line is y + 3x = -10.
Step-by-step explanation:
In this question, first we have to find the slope of the equation:
The formula which we use to find the slope is:
slope = m = (y2-y1)/(x2-x1)
m = (8 + 1) / (-6 + 3)
m = 9 / (-3)
m = -3.
Now, put the value of slope and the first points (-3, -1). You can use any of the given points:
y - y1 = m(x - x1)
y + 1 = -3(x + 3)
y + 1 = -3x - 9
y + 3x = -10
This is the eqution line.
You can check if this line is true or not by putting the other points in this equation which will give the same points like,
y + 3(-6) = -10
y - 18 = -10
y = 8
So, we get the same old points (-6, 8) which we have given.
Answer:
the angle for z° is 96°
Step-by-step explanation:
Since we already know 2 of the angles and that y=18° because both of the lines opposed to y are straight, so subtract all of what we know: 360-(64+18+18)=260°. x also has straight lines with the 64°, so subtract another 64°, then the equation will be 360°-(64+64+18+18), so z should equal 196, but there are 2 z angles, so divide it by 2 and the answer should be z°=96°
Answer:
30$ C
Step-by-step explanation:
To calculate the average unit price of the tutus, you would normally divide the total cost by the quantity. This would give you the cost per tutu. However, without information on quantities, we can't compute averages. The director should examine the table for the deals with the lowest and highest average unit costs.
From the given problem, it seems more information is needed. Normally, a table would offer pairs of information with the cost per tutu at different quantities. If we had a total cost and a quantity, we could calculate an average by dividing the total cost by the quantity. For example, if the director orders 10 tutus at a total cost of $250, the average unit price for each tutu would be $250/10 = $25 per tutu. Similarly, if 10 tutus cost $330, we would calculate $330/10 to get $33 per tutu. However, without the quantities, we can't make these calculations. The director should carefully examine the table listing unit prices and quantities and choose the deal with the lowest average unit cost for the least expensive deal and the deal with the highest average unit cost for the most expensive deal.
#SPJ3
Formula
Area = L*w
Hint : To find the area of a rectangle , multiply the length times the width
I hope that's help !