Answer:
x = 15
arc PQ = 110°
ΔPQR is an acute triangle
Step-by-step explanation:
(6x) + (8x-10) + (10x+10) = 360°
combine like terms:
24x = 360°
x = 15
arc PQ = 8(15) - 10° = 110°
Answer:
112
Step-by-step explanation:
I'm not sure whether this is correct, but I think that all the opposite angles are equal so that's how I got my answer.
Answer:
first = 65
second = 325
Third = 165
Step-by-step explanation:
Let the first number = x
first: x
second: 5x
Third = x + 100
first + second + third = 555
x + 5x + x + 100 = 555 Combine
7x + 100 = 555 Subtract 100 from both sides
7x + 100 - 100 = 555 - 100
7x = 455 Divide by 7
7x/7 = 455/7
x = 65
Answer:
The minimum score required for a letter of recognition is 631.24.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the minimum score required for a letter of recognition
100 - 10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.
The minimum score required for a letter of recognition is 631.24.
3 yards by 9 yards is the original figure.
We can obviously say that the trapezoid falls into the Not Similar - Different Shape category since it is a trapezoid, and we were given a rectangle :P
The 6 yard by 3 yard falls into the category of Not similar - Different ratio of Side Lengths because the original was 9 yards by 3 yards. And one side remained the same while the other went larger, so they are not in a ratio.
The 2 yard by 8 yard falls into the category of Not similar - Different ratio of Side Lengths because 2 yards by 8 yards can be simplified in a ratio of 1 to 4 while the original is 3 to 9 or 1 to 3
The 6 yard by 18 yard falls into the category of Similar because 6 yards by 18 yards can be simplified in a ratio of 1 to 3 and the original is 3 to 9 which can be simplified to 1 to 3
The 9 yard by 8 yard falls into the category of Not similar - Different ratio of Side Lengths because 9 yards by 18 yards can be simplified in a ratio of 1 to 2 while the original is 3 yards to 9 yards or 1 to 3.
The 1 yard by 3 yard falls into the category of Similar because 1 yards by 3 yards can be simplified in a ratio of 1 to 3 and the original is 3 yards to 9 yards which can be simplified to 1 to 3