Answer:
Area of part 1: 3 *
= 
Area of part 2: 

Area of entire rectangle: 
Step-by-step explanation:
The area of a rectangle can be found by using formula : length * width.
The area of part 1 can be simplified to this:
3 *
= 
Area of part 2:


The area of the entire rectangle can simply be added from part 1 and part 2.
For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.
Firstly look at the options carefully and we will get to know that two answer options are incorrect because 2 of them are representing AT MOST SIGN which we don't need. So in that way Options B and D are eliminated.
So Now we are left with 2 options A and C. Lets figure it out.
We know that Carlos has 5 complete set with 4 individual figures and josh has 3 complete sets with 14 individual figures.
So lets write in the numerical language:-
let us assume that complete sets are X.
ATQ,
5x + 4 ≥ 3x + 14
subtracting 3x from both sides.
5x -3x + 4 ≥ 14
2x + 4 ≥ 14
subtracting 4 from both sides
2x ≥ 14 - 4
2x ≥ 10
dividing both sides by 2
x ≥ 5 Answer
So correct answer option is C
Answer:
2
Step-by-step explanation:
There are two lines of symmetry and here I list them:
1) The first is a horizontal line that divides the square in to even parts such that the top part is the projection of the down one trough the symmetry line (and vice versa).
2) The second one is the vertical line that divides the square in two even sides. Note that this line will also divide both stars at half. The left side will be projected on the right one (and vice versa) trough the symmetry line.
A third line could be thought to be a diagonal between opposite vertices, but notice that the stars projection won't by symmetric in this case.
So, we only have 2 symmetry lines.