Answer:
The center of the circle is

Step-by-step explanation:
Let the equation of the circle be
, where (-a,-b) is the center of this circle.
The points lying the circle must satisfy the equation of this circle.
A(0,0)
We substitute this point to get;


B(-3,0)



But c=0


C(1,2)



Put the value of 'a' and 'c' to find 'b'




b=-2
Hence the center of the circle is

Question 1:
Since this is an isosceles trapezoid angle J is equal to angle M
20x + 9 = 14x + 15
Subtract both sides by 14x and 9
6x = 6
Divide both sides by 6
x = 1
Plug this into 14x + 15 and 20x + 9
You get 29 degrees.
Now, multiply that by 2.
29 * 2 = 58
Subtract that from 360 to get the sum of angles K and L
360 - 58 = 302
Now, divide that by 2 since we know that angles K and L are congruent.
302 / 2 = 151
That's the measure for both angle K and L.
The first choice is your answer.
Question 2:
The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.
Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.
For angle 2, we know that x + y = 90.
Now, let's solve for z.
30z = 90
Divide both sides by 30
z = 3
Now, add them all together
x + y + z
= 90 + 3
= 93
The first choice is your answer.
Question 3:
The diagonals of a rectangle are always congruent.
6x + 16 = 49
Subtract both sides by 16
6x = 33
Now, divide both sides by 6
x = 5.5
The last choice is your answer.
Have an awesome day! :)
This is the symmetric property of equality, and in a more general form it can be written as: if a=b then b=a.
This is not to be confused with communicative property, which says that the order doesn't matter in some operations, such as addition, and can be written as a+b=b+a
Answer:
$38.84
Step-by-step explanation:
1) 48.00 x 0.07 = 3.36 (she must pay this amount)
2) 48.00 x 0.1 = 4.8 (she must tip this much)
48.00 - 4.8 + 3.36 = 39.84
She has 39.84 dollars she can use to order food with.
Answer:
D. -8
Step-by-step explanation:
0-4=-4
0-4=-4
-4 + -4 = -8