Answer:
m∠1 = 85°, m∠2 = 85°, m∠3 = 64°, m∠4 = 31°
Step-by-step explanation:
1. Since ∠3 and the angle labeled 64° are vertical, they are congruent, therefore m∠3 = 64°
2. By the same logic, since ∠4 and the angle labeled 31° are vertical, they are also congruent, meaning m∠4 = 31°
3. ∠4, ∠1, and 64° make up 180°, thus a straight line around them, so m∠1 + 31° + 64° = 180° --> m∠1 = 85°
4. ∠1 and ∠2 are vertical, so they are congruent, meaning m∠2 = 85°
The unknown side is part of the 90 degree angle, so it is not the hypotenuse.
Using the Pythagorean theorem:
x = sqrt(14^2 - 10^2)
x = sqrt(196-100)
x = sqrt(96)
x = 9.7979 ( round as needed)
The answer is attached. I hope this helps answer your question!
Total amount of grey blocks is 55 so divide that by the amount of columns it’s being divided into. The answers 5.
What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30
Olin [163]
1 - B
Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.
2 - D
Median - The middle number of a data set that is arranged from least to greatest.
3 - True
There is no mode because all of the numbers only appear once.
4 - A
5 - C
