Answer:
No
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.
The longest side = 61, thus
61² = 3721
12² + 60² = 144 + 3600 = 3744 ≠ 3721
Thus these sides do not form a right triangle.
Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability
using normal distribution table.
From normal distribution table, we get z-score corresponding is
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation





Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
It’s -5 slope intercept is whatever point the line crosses the y axis