The answer is D, 10. 4 years ago she was 6, so William must have been 1 (1/6 of 6). In 6 years time she will be 16 (10+[4+6 years]).
Answer:
The slope of AB and BC are the same.
The initial value is 60 m and the slope is 40 m/min.
Step-by-step explanation:
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes.
See the graph attached.
Part A : If we consider two right triangles one Δ ABD and Δ BCE, where D(2,100) and E(1,60) points.
Now, those two triangles are similar and hence the slope of line segment AB will be
.
Again, the slope of the line segment BC will be

Hence,
and the slope of AB and BC are the same. (Answer)
Part B : From the graph, it is clear that the initial value of the graph is 60 m and it represents that initial position of the shark i.e. at t = 0 min, the shark was at a depth of 60 m from the water surface.
The slope of the graph is 40 means the rate of change of distance from the Ocean surface of the shark with respect to time in minutes will be 40 m per min. (Answer)
Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ
Let w = width
then
5w-3 = length
w(5w-3) = 14
5w^2-3w = 14
5w^2-3w-14=0
(5w+7)(w-2) = 0
w = {-7/5, 2}
throw out the negative solution leaving
w = 2 centimeters
length:
5w-3 =5(2)-3 =10-3 = 7 centimeters