A.14x - 11
B.22x + 11
C.14x + 11
D.18x + 7
Answer: 10.5 (equivalent to the fraction 21/2)
To get this answer, you set 10x-15 equal to 90 and solve for x. The reason why these two angles are equal is because they are vertical angles.
10x-15 = 90
10x-15+15 = 90+15 ...... add 15 to both sides
10x = 105
10x/10 = 105/10 ...... divide both sides by 10
x = 105/10
x = 21/2 is the answer in fraction form
x = 10.5 is the answer in decimal form
You'll use what the vertical angles theorem tells you to solve this.
The vertical angles theorem says that vertical angles are congruent, which is what the angle with (10x-15) and the opposite angle (90) are.
Since they are vertical angles, they are congruent so you can set up an equation where they are equal and solve for x.
(10x-15) = 90
1. Get rid of the parentheses.
10x-15 = 90
2. Add 15 to both sides.
10x = 105
3. Divide both sides by 10.
x = 10.5
Answer is:
x = 10.5
B. rolling a 1 on a six-sided number cube
C. getting heads when flipping a coin
D. choosing a X, Y, or Z from a bag containing all letters in the alphabet
B. (x, y) = (-3, 6)
C. (x, y) = (3, 6)
D. (x, y) = (4, -3)
Answer: (D) 4, -3
Step-by-step explanation:
In order for the set of coordinates to be a function, there cannot be duplicate x-values. So, there cannot be the following: -4, 3, 4
A) x = 1 this CAN be in the set
B) x = -3 this CAN be in the set
C) x = 3 and y = 6 this is a duplicate of a coordinate already in the set. You can plot this point and still pass the vertical line test
D) x = 4 and y = -3 this cannot be included in the set . It will create two different coordinates passing through x = 4 so will fail the vertical line test.
Answer:
C. (x, y) = (3, 6)
Step-by-step explanation: A function is when x's don't repeat.
The correct answer is C. (x, y) = (3, 6) because it would repeating the x's.
Here's Why:
{ (-4, 2), (3, 6), (4, 3), (x, y) }
If you substitute in (3, 6) for the last ordered pair, it would be repeating the number 3. So, (3, 6) can not be included in the set. But the ordered pairs that would NOT be repeating the x's, are these ordered pairs:
A. (x, y) = (1, 2)
B. (x, y) = (-3, 6)
D. (x, y) = (4, -3)
A, B, & D are ordered pairs that can make this set a function.
Hope this helps you!!! :)