Answer: Angle 4 is 167 degrees. Angle 5 is 13 degrees.
Step-by-step explanation:
If angle 1 is 167 degrees, then angle 4 is also 167 degrees because angle 4 is vertical to angle 1. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. Knowing this, you know angle 2 is also 167 degrees because it is vertical to angle 1. To solve, a straight line is 180 degrees. 180-167 is 13 degrees therefore angle 5 is 13 degrees
Answer:
7/16
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Proportion of defective televisions in the shipment = 15/240 = 1/16
Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16
Answer:
x= 2,
,y = 5
Step-by-step explanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 5
// Plug this in for variable y in equation [2]
[2] -4x + 2•(5x-5) = 2
[2] 6x = 12
// Solve equation [2] for the variable x
[2] 6x = 12
[2] x = 2
// By now we know this much :
x = 2
y = 5x-5
// Use the x value to solve for y
y = 5(2)-5 = 5
Solution :
{x,y} = {2,5}
The square root of 147 is simplest as 7*sqrt3. hope it helps