A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pai
r 1, 1, B at 3, 3, C at 4, 2, D at 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 1, negative 3, B prime at 3, negative 1, C prime at 4, negative 2, D at 4, negative 3.
Which angle in Figure A′B′C′D′ is equal to Angle BCD.?
Angle D prime A prime B prime.
Angle A prime B prime C prime.
Angle B prime C prime D prime.
Angle C prime D prime A prime.
Which angle in Figure A′B′C′D′ is equal to Angle BCD.?
Angle D prime A prime B prime.
Angle A prime B prime C prime.
Angle B prime C prime D prime.
Angle C prime D prime A prime.
1 answer:
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Answer:
60.4miles/hr
Step-by-step explanation:
Given parameters:
Distance covered by the car = 145miles
Time taken = 2.4hrs
Unknown:
Average speed of the car = ?
Solution:
Average speed is the rate of change of distance with time;
Average speed =
Input the parameters and solve;
Average speed = = 60.4miles/hr
Answer:
A) The coordinates of the fourth vertex are:
1) x-coordinate:
2) y-coordinate:
B) The point of intersection of the diagonals is:
Step-by-step explanation:
We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.
The midpoint formula is:
Since:
We can find the coordinates of the fourth vertex through these procedure:
1) x-coordinate:
2) y-coordinate:
Therefore, fourth vertex is
Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that ), this is:
Therefore, the point of intersection of the diagonals is
