For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
Answer:
C. 16
Step-by-step explanation:
First of all, these two angles are corresponding angles, which means that they equal each other. So, the equation here would be: 2x+18= 4x-14.
Step 1- Move the variables to one side.
2x+18= 4x-14
-2x -2x
18= 2x-14
Step 2- Add 14 to both sides of the equation.
18= 2x-14
+14 +14
32= 2x
Step 3- Divide 2 to both sides of the equation to isolate the variable.
<u>32</u>=<u> 2x</u>
2 2
x= 16
Answer: 33/35?
Step-by-step explanation:
Answer:
d. 0.849
Step-by-step explanation:
1. The correct statement is the first one, which is: <span>Add the two equations, solve for y, and then substitute –1 for y to find x.
</span>
2. Therefore, you have the following system of equations:
<span>
4x+8y=20
-4x+2y= -30
3. When you a</span>dd the two equations, and clear the variable "y", you obtain:
10y=-10
y=-1
4. Now, you must substitute -1 for y (y=-1) to find x, as below:
4x+8y=20
4x+8(-1)=20
4x-8=20
4x=20+8
4x=28
x=28/4
x=7
