Answer:
x=3, y=10
Step-by-step explanation:
in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.
this means
y-4=6
y=10
Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that
6=x+3
x=3
Answer:
B. (12-6) n - 50
Step-by-step explanation:
Given that:
Cost of making hat = $6 per hat
Selling price = $12 per hat
Advert cost = $50
Number of hats made = n
The profit or money raised from the sales of hat:
Total Revenue from sales - total cost of production - advert cost
Total Revenue from sales = ($12 * n) = $12n
Total cost of production = ($6 * n) = $6n
Advert cost = $50
Hence,
12n - (6n + 50)
12n - 6n - 50
(12 - 6)n - 50
Answer:
The minimum score required for an A grade is 83.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 72.3 and a standard deviation of 8.
This means that 
Find the minimum score required for an A grade.
This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.
The minimum score required for an A grade is 83.
Answer:
y=50
x=60
Step-by-step explanation:
x= 180-(50+70)
x=60
y=50
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angles on a straight line with x° are 28° and 49° respectively, side by side with x°. This is because, vertical angles are equal. Therefore, the angle vertically opposite 28° and 49° are equal to 28° and 49° respectively.
Therefore, since angles on a straight line is 180°, thus:
x + 49 + 28 = 180
