Answer:
We are working with 2 vertical angles which are ALWAYS equal.
Therefore, 2 + 3x = 62
3x = 60
Therefore, x = 20
Step-by-step explanation:
Answer:
y = 2x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 2, 0 ) into the partial equation
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = 2x + 4 ← equation of line
Answer:
a) 0.00563
b) 1
c) 0
Step-by-step explanation:
Total = 40+30+20 =90
a) (20C8×30C6×40C6)/90C20
= 0.00563
b) 1 - (no chocolate + 1 chocolate)
1 - [(50C20) + (40C1×50C19)]/90C20
1 - 0.00002478
= 0.9999752187
c) [40C20+20C20+30C20]/90C20
= 0.0000000027045
Answer:
85.36 far north from the center
10.36 far east from the center
Step-by-step explanation:
The extra direction taken in the north side is x
X/sin(360-315)=50/sin 90
Sin 90= 1
X/sin 45= 50
X= sin45 *50
X= 0.7071*50
X= 35.355 steps
X= 35.36
Then the west direction traveled
West =√(50² - 35.355²)
West = √(2500-1249.6225)
West= √1250.3775
West= 35.36 steps
But this was taken in an opposite west direction
From the center
He is 35.36 +50
= 85.36 far north from the center
And
25-35.36=-10.36
10.36 far east from the center
