Answer:
The rug will fit. The rug is smaller than the parallelogram.
Step-by-step explanation:
This question is testing to see if you can figure out how the rug may fit in the room.
The rug does fit. Here's how we know.
The only given information from the question is...
- Length and Width of the <em>Rectangular Rug</em>
- Area of the Parallelogram
Notice that you can use the Length and the Width to get the area of the Rectangular Rug. We need to find the area of the rectangle so we can compare it to the parallelogram.
The area of the Parallelogram is listed at : 108 sqft
The area of the rectangular rug is : 60 sqft
- <em>Area of rectangle = Length * Width</em>
- <em>6 * 10 = 60</em>
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The question now asks us if the rug will fit in her room. Well, 60 sqft is less than 108 sqft. So, yes, it will fit.
Choice A is one of the answers. Nice work. This is because x+x+x turns into 3x.
Choice D is the other answer because 2(x+1) + x = 2x+2+x = 3x+2. You can find this through trial and error. Or you could graph y = x+x+x+2 and y = 2(x+1)+2 to find that they are the same exact identical diagonal line. A non-graph approach would be to set up a table of values to see that the two tables are identical.
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
The answer would be C, sorry if I’m wrong
is proved
<h3><u>
Solution:</u></h3>
Given that,
------- (1)
First we will simplify the LHS and then compare it with RHS
------ (2)
Substitute this in eqn (2)
On simplification we get,
Cancelling the common terms (sinx + cosx)
We know secant is inverse of cosine
Thus L.H.S = R.H.S
Hence proved
