Sum of angles In all triangles are 180....line DAC is horizontal and therefore is 180 degrees ....so minus 180 degrees from 105 and you get 75 degrees....and since the sum of all angles in a triangle is 180...add 75 and 67 which would be 142 degrees ...then minus 142 from 180 degrees to get 38 degrees for x
Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then

So

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
Answer: C
Step-by-step explanation:
We know the scale factor is 6/2=3.
A) False. The ratio of the side lengths, not the areas, is 1 to 3.
B) False. Rectangle B is larger than Rectangle A.
C) The square of the ratio of the side lengths is the ratio of the areas.
D) False. The ratio of the side lengths, not the areas, is 1 to 3.
Answer:
x ≤ 6.12
Step-by-step explanation:
If the cost of 1 hamburger in a restaurant is $0.49, the amount of hamburger $3 can buy is expressed as shown
.
$0.49 = 1
$3 ≤ x (since you have maximum of $3 to spend. It cant be more than that)
cross multiply to find the expression for x.
$0.49 * x ≤ $3 * 1
$0.49x ≤ $3
Divide both sides by $0.49
$0.49x/$0.49 ≤ $3/$0.49
x ≤ $3/$0.49
x ≤ 6.12
The number of hamburgers you can buy is represented by the inequality x ≤ 6.12
The derivative is -6sin(3x)