$56, trust me I took Calc. this is easy compared to that
Answer:
scale = ½
center = (2, -5)
Step-by-step explanation:
The distance between A and B is 8
The distance between A' and B is 4
therefore the dilation scale factor is 4/8 = ½
As B and B' have the same x value, the center must also have the same x value of 2
The y value for A is -1
The y value for A' is -3
IF the y value for the center is Y
½(Y - (-1)) = (Y -(-3))
½(Y + 1) = (Y + 3)
½Y + ½ = Y + 3
-2.5 = ½Y
Y = -5
Triangle angles add up to a total of 180 degrees.
X will substitute for the second angle.
(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).
The third angle is a right angle which is 90 degrees.
The equation therefore, the summation of the angles:
90 + x + (x - 10) = 180
Join like terms:
80 + 2x = 180
Solve for x:
2x = 100
x = 50
This means that:
The second angle is 50.
The first angle is 50 - 10 which is 40.
We can double check by adding the angles 50, 40, and 90 together to get 180.
Answer:
1) Incomplete question
2) Scatterplot
Step-by-step explanation:
1) The question is incomplete. To calculate the average time required for the toy car to move, the formula to be used will be
velocity = distance ÷ time
Hence; time = distance ÷ velocity
2) There are two variables in the question; the distance (it takes the ball to fall) and the time. The type of graph (from the option) that can have two variables represented on it is a scatterplot.
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
