in triangle ABC, the sum of the measures of angle A and angle B is 47 degrees. what is the measure of angle C?
1 answer:
You might be interested in
Answer:
D. a = 60 and b = 58.8
Step-by-step explanation:
Z-score:
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.
Z-score for data point a is 0.
This means that a is the mean, that is, a = 60.
The z-score for data point b is -0.4.
This means that b must be a value below the mean, that is, a value below 60.
The option that satisfies a = 60 and b < 60 is option D, which is the answer.
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side =
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
There are the answers filled in :)
