Answer:
- A. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
Inscribed quadrilateral has opposite angles supplementary.
<u>So</u>
or
<u>Since</u>
- m∠A = x + 16,
- m∠B = x,
- m∠C = 6x - 4,
- m∠D = 2x + 16
we can use either pair of angle measures to work out the value of x and then find the value of each angle.
<u>We can verify the first option is the only correct one.</u>
- m∠A + m∠C = 180°
- (x + 16) + (6x − 4) = 180
Answer:
(3,-4) or x=3 and y= -4
Step-by-step explanation:
I'm going to solve this by substitution
We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)
I'm going to solve for y in the second equation
-4x-4y=4
add 4y and subtract 4 from both sides to get
-4x-4=4y
Divide by 4 to get
-x-1=y
We can plug this value in for y into the first equation and get
4x+5(-x-1)= -8
Solve for x
4x-5x-5= -8
-x-5= -8
-x= -3
x=3
We can plug this value into one of the first two equations and solve for y
4(3)+5y= -8
12+5y= -8
5y= -20
y= -4
Therefore the solution is (3,-4) or x=3 and y= -4
The answers are a b c d e or all of them except the chocolate chip one
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Answer:
1/22
Step-by-step explanation:
- 12 total marbles
- 5/12 - 1/1 = 4/11
- 4/11 - 1/1 = 3/10
- 5/12 × 4/11 × 3/10 = 1/22
