Answer:

Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is
.
Well first you times the 0.3 to w and 10 which will give you 0.3w + 3 = 1.8w and subtracting 1.8 from 0.3 gives you
1.5w=3 and that is divided to w=2
First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order to isolate x and you get 3/10x = 7/4.
Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.
You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.
So the answer is x = 35/6
Answer: A
Step-by-step explanation:
If they are similar, that means the proportions for corresponding sides will be the same.
I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives <em>because</em> the XYZ picture is not lined up with the similarity it has with RST.
(A) says that side ST is corresponding with side YZ,
[] Triangle R<u>ST</u> and triangle X<u>YZ</u>
-> Correct
(A) also says that side RT is corresponding with size XZ,
[] Triangle <u>R</u>S<u>T</u> and triangle <u>X</u>Y<u>Z</u>
-> Correct
This means that option A is the correct answer.