What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
Answer:
True
Step-by-step explanation:
In functions, each x value has its own corresponding y value, this meaning that the x value cannot repeat, and if it does it is not considered a function
Looking at the graph, no x value repeat, thus the graph represents a function
Answer:
Step-by-step explanation:
The system of equations is expressed as
y=-2x+7 - - - - - - - - 1
y=5x-7 - - - - - - - - -2
We would equate equation 1 and equation 2. It becomes
- 2x + 7 = 5x - 7
We would add 2x to the left hand side and the right hand side of the equation. Also add 7 to the left hand side and the right hand side of the equation. It becomes
- 2x + 2x + 7 + 7 = 5x + 2x - 7 + 7
14 = 7x
Dividing the left hand side and the right hand side of the equation by 7, it becomes
7x/7 = 14/2
x = 2
y= -2 × 2 + 7
y = - 4 + 7
y = 3
