Step-by-step explanation:
x and 63° are subtended by the same arc, therefore their measures will be equal.
Therefore, x = 63°
Answer:
13
Step-by-step explanation:
9514 1404 393
Answer:
p : q = 3 : 2
Step-by-step explanation:
You are given sufficient information to write two relations involving p and q. We presume these will be sufficient to find an answer to the question. We will be able to find p and q. Then we can find their ratio, as the problem asks.
(p-15)/(q-15) = 2/1
(p+30)/(q+30) = 5/4
__
From the first equation, we get ...
p -15 = 2(q -15)
p = 2q -15 . . . . . . . add 15, simplify
From the second equation, we get ...
4(p +30) = 5(q +30)
4p + 120 = 5q + 150
4p = 5q + 30
Using the first equation to substitute for p, we have ...
4(2q -15) = 5q +30
8q -60 = 5q +30 . . . eliminate parentheses
3q = 90 . . . . . . . . . . . add 60-5q to both sides
q = 30 . . . . . . . . . . . . divide by 3
p = 2q -15 = 2(30) -15 = 45
Then the desired ratio is ...
p : q = 45 : 30
p : q = 3 : 2
These are in y=mx+b form where m=slope
sometimes b=0
vertical intercept means the y-intercept and the horizonatl intercept is the x intercept so the x intercept is when y=0 and the y intercept is when x=0 so the first one is
y=5x-15
slope=5
y-intercept=-15
x-intercept=3
y=7-x
this can be written as
y=-1x+7
slope=-1
y-intercept=7
x-intercept=7
4x=2y=12
we must get it into slope intercept form
divide the whole thing by 2x=y=12
we can disregard the 12 and get
2x=y or y=2x+0
slope=2
y-intercept=0
x-intercept=0
