Answer:
a. the ratio of the sides is 6: 8, or 3:4
b. the ratio of the surfaces is
or 9:16, the square of the ratio of the sides.
c. the ratio of the volumes is
or 27:64, the cube of the ratio of the sides.
Using an indirect proof:
Assume that the figure is a trapezoid.
All trapezoids are quadrilaterals.
All quadrilaterals' interior angles add up to 360° because any n-gon's interior angles add up to 180(n-2)°.
We are given that the trapezoid has three right angles.
All right angles are 90°, thus these right angles have a total measure of 270°.
We can conclude fourth angle must be 90°.
If it has four right angles, it is a rectangle.
Rectangles have two sets of parallel sides.
However, trapezoids have exactly one set of parallel sides.
Alas, our figure cannot be a trapezoid.
Answer:
A. y= 2(x - 2)2 + 4
Step-by-step explanation:
vertex having an x value of 2 means the phrase in paren must be x - 2.
This eliminates B and D
vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2
plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10
Vertical angles are angles opposite of eachother and therefore the same. Since angle 2 is 93° that means angle 1 must also be 93°
Step-by-step explanation:
51 - 2j
maybe something is missing here, but that is the representation of what you wrote.