The value of x is
Explanation:
Since, from the figure we can see that, a ray bisects the angle of a triangle.
Then, the angle bisector theorem states that, "if a ray bisects an angle of a triangle, then it divides the opposite sides of the triangle into segments that are proportional to the other two sides".
Thus, we have,
where and
Substituting the values, we get,
Simplifying, we have,
Dividing both sides by 4,
Thus, the value of x is
Answer:
True False False in that order
Step-by-step explanation:
Answer:
(4, 3)
Step-by-step explanation:
Use the midpoint formula:
<span>0.0087, or 0.87%
In order to solve this problem, you first need to determine how many standard deviations from the norm you are. You do this by subtracting the mean from the number you have and then divide the result by the standard deviation.
127 - 100 = 27
27 / 11.35 = 2.378854626
So you're about 2.379 standard deviations above the mean. Using a standard normal table (usually good to 2 decimal digits), or you can use an online calculator or the equivalent.
Looking up 2.38 in a standard normal table, I get a value of 0.9913 which is the probability of getting a value LESS than the standard deviation I looked up. Since we're looking for the probability of getting a LARGER value, subtract the lookup value from 1, giving:
1 - 0.9913 = 0.0087 = 0.87%
Using an online calculator for the standard deviation of 2.378854626, I get the return value of 0.9913167383 which is basically the same result as using a normal table except for a few extra decimal places.
In any case, the probability of a randomly selected monthly cell phone bill being more than $127 is 0.0087, or 0.87%</span>
Answer:
see below
Step-by-step explanation:
Let x be the original price
x* discount rate = discount
x * 60% = 30
Change to decimal form
x * .60 = 30
Divide each side by .60
x = 30/.60
x =50
The original price was 50 dollars