Answer:
3
Step-by-step explanation:
we know that 23x7=161
so there will be 3 people on the last trip to the top
1/8 vanilla, 3/8 almonds, 1/2 pineapple.....ratio : 1/8,3/8,1/2
bottle 1 bottle 2 bottle 3
vanilla : 1 2 1 1/2
almond : 3 6 4 1/2
pineapple : 4 8 6
<h3>Answer:</h3>
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis
<h3>Explanation:</h3>
The problem statement tells you the transformation is ...
... (x, y) → (x, -y)
Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.
Along with translation and rotation, <em>reflection</em> is a transformation that <em>does not change any distance or angle measures</em>. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)
An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.
So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
In this geometry, the triangles are similar. That means corresponding sides are proportional:
short side/long side = x/10 = 10/25
x = 100/25 = 4 . . . . multiply by 10
__
hypotenuse/short side = y/x = (x+25)/y
y² = 4(29) = 116 . . . . . use 4 for x; cross multiply
y = √116 ≈ 10.8
