For AC:
AC= root((a-0)^2 + (b-0)^2)
AC= root((a)^2 + (b)^2)
For BD:
AC= root((a-0)^2 + (0-b)^2)
AC= root((a)^2 + (-b)^2)
AC= root((a)^2 + (b)^2)
Therefore,
AC=BD
Answer:
m∠VST = 105°
Step-by-step explanation:
Two central angles are marked as having the same measure. The measure of the corresponding arcs are the same. The sum of all arc measures is 360°.
(-37x +2) +2(-27x -3) = 360
-91x -4 = 360
-91x = 364
x = -4
m∠VST = (-27(-4) -3) = 105 . . . . degrees
To answer this item, we let the original speed of the car be x. The time it take to travel a certain distance is calculated by dividing the distance by the speed. Using the condition given above,
189 / (x + 12) = 189/x - 1
The value of x from the equation is 42 mph. Thus, the original speed of the car is 42 mph.
Answer: (8,8)
Step-by-step explanation:
First you need to get a x or y by itself.
I choosed to get y by itself since it would be faster.
-2x + y = -8 (first get -2x to the other side so add 2x)
y = -8 + 2x (then you want to insert that to the other equation)
-x + 4( -8 +2x) = 24 -> -x -32 + 8x = 24 -> 7x -32 = 24
(add 32 to the other side)
7x = 56 (divide 7 to 56 to get x) x = 8
now insert into the other equation
-2( 8 ) + y = -8 -> -16 + y = -8 ( move -16 to the other side, so add 16)
then you get your answer, y= 8
