3,000 in.
(4 x 10) + (7.5 x 10) = 3000
The dimensions on the sketch are 10 times less than the actual rug.
40 in., 7.5 in.
The drawing lengths are ten times more, so you just multiply the dimensions by 10, and then multiply the product you find out to find the actual area of the rug.
Answer:
Step-by-step explanation:
Answer:
This is called transitivity property
<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.
Given:
<span> x=12, y=8, z=3
4x-yz = 4(12) - (8)(3)
</span>4x-yz = 48 - 24
4x-yz = 24