Answer:
70
Step-by-step explanation:
The angle not marked in the top triangle is 40 degrees since it is an isosceles triangle. That makes the angle opposite it in the other triangle 40 degrees since they are vertical angles and vertical angles are equal.
The bottom triangle has 3 angles that sum to 180 degrees, The other angle not marked is also y since it is an isosceles triangle.
40 + y +y = 180
Subtract 40 from each side and combine like terms
40-40 +2y = 180-40
2y = 140
Divide by 2
2y/2 = 140/2
y = 70
Answer:
A) 34.13%
B) 15.87%
C) 95.44%
D) 97.72%
E) 49.87%
F) 0.13%
Step-by-step explanation:
To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:
Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:
So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:
P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)
= 0.5 - 0.1587 = 0.3413
It means that the PERCENT of scores that are between 90 and 100 is 34.13%
At the same way, we can calculated the percentages of B, C, D, E and F as:
B) Over 110
C) Between 80 and 120
D) less than 80
E) Between 70 and 100
F) More than 130
Answer:
Yes, because look at the below work.
Step-by-step explanation:
Step 1: Find the Common Denominator
The common denominator is 210
5/6 * 35/35 = 175/210
4/5 * 42/42 = 168/210
6/7 * 30/30 = 180/210
5/6 is between 4/5 and 6/7 because 4/5 = 168/210 which is less than 5/6 which is 175/210 and 5/6 is less than 6/7 which is 180/210.
So, yes I agree with Maria
Answer:
105
Step-by-step explanation:
The numbers that can be used to form triangles are collectively called "triangle numbers." The n-th triangle number is the sum of all numbers less than or equal to n. It is ...
n(n+1)/2
For n=14, the number is 14(15)/2 = 7·15 = 105.
The clerk used 105 oranges to make the arrangement.
