Answer:
First one
Step-by-step explanation:
.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100
Answer:
K = -16/33
Step-by-step explanation:
For a problem like this, it is convenient to write the mixed number as an improper fraction:
-11/8 K = 2/3
Now, multiply the equation by the reciprocal of the coefficient of K.
K = (-8/11)(2/3)
K = -16/33
Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY =
(sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
=
(corresponding side length proportion)
Answer:

Step-by-step explanation:
The length of the base is the distance between the points 4+2i and 10+4i, so

The middle point of the base is placed at point

The length of the height is the distance between the points 5+9i and 7+3i

So, the area of the triangle is

Answer:
when x=6, y=30
when x=7.5, y=37.5
Step-by-step explanation:
Just plug in the value of x into the equation y=5x
so when x=6, the equation will be y=5(6). In this case y=30
when x =7.5, the equation will be y=5(7.5). So y=37.5