Answer:
2(x+10) = 3x-30 (reason: vertical angles are congruent)
2x+20 = 3x-30
20 = 1x-30
1x = 20+30
1x = 50
x = 50
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = 
( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
Draw a triangle on your paper and extend the base of the triangle so it extends past the base angle. The base angle inside the triangle is the interior angle and the one outside the triangle between the extended line and the outside of the interior angle is the exterior angle. A straight line has a measure of 180 degrees. That means that the interior angle + the exterior angle = 180. So they are supplementary by definition of supplementary angles. A is the only choice above that applies.
Answer:
0.382
0.4
option (a)
Step-by-step explanation:
Formula to calculate probability
a)
probability = number of times event occur / total number of trials
Experimental probability of landing on white = 191/500 = 0.382
b)
probability = favourable outcome / total outcome
Theoretical probability of landing on white = 2/5 = 0.4
c)
As more trials are conducted, the experimental probability generally gets closer to the theoretical probability.
The general equation of a line is y = mx + b
m is given as 1/2, so we have:
Plugging in the given values of x and y, we get:
-2 = 0 + b
Therefore b = -2, and the answer is:
