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:
1) take the first part of the equation and work it by multiplying (x+2) by 3
3(x+2)+x
3x +6+x
2)put the answer you got into the question you were given
3x + 6+x =2x +16
3)group the x variables and the non x variables
3x +x -2x =16 -6
4) Now work the equation you have
3x+x-2x=16-6
4x-2x=16-6
2x=16-6
2x=10
5) you divide both sides by the x variable
2x=10
2x/2 =10/2
x=5
therefore x is 5
Answer:
<u>-5 ± √5² - 4 · 1 · 4</u>
2 · 1
Step-by-step explanation:
ax²+bx+c=0 (quadratic equation)
x=<u> -b ± √b² - 4ac</u>
2a
a= 1
b= 5
c= 4
-<u>5 ± √5² - 4 · 1 · 4</u>
2 · 1
