Answer:
18.
∠2 = 40
∠3 = 140
∠4 =140
19.
∠1 = 134
∠2 = 46
∠3 = 134
∠4 = 46
Step-by-step explanation:
18. Using vertical angle theorem, 1 is equal to 2 and 3 is equal to 4. Therefore 2 is equal to 40 degrees. Then since 2 and 3 are supplementary adjacent angles or a linear pair, they equal 180 when combined. 180-40 equals 140. 3 and 4 are also vertical angles so 3 = 4 and they are both 140.
19. Angles 1 & 3 and 2 & 4 are vertical angles because they are directly across from each other and share the same bisectors. You can use what you know about special angle pairs to find the measure of each angle because since 1 & 3 are vertical angles and 2 & 4 are also vertical angles, 1 is equal to 3 and 2 is equal to 4. So, since the angle formed at the right is angle 2, we can confirm that angle 4 is equal to it and therefore angles 2 and 4 are 46 degrees. Then since angles 1 & 2 and 3 & 4 are linear pairs, we can say that angle 1 + angle 2 is equal to 180 and the same for angles 3 & 4. So subtract 180 - 46 and you get 134. Therefore angles 1 and 3 are equal to 134 degrees.
Answer:
Prime factors = 5 × 5 × 5 × 263
Step-by-step explanation:
Given:
Number = 32,875
Find:
Product of prime factor
Computation:
Using Euclid Division Lemma:
a = bq + r
a = Given number
q = unique integer
r = remain number
So,
32875 = 6575 × 5 + 0
6575 = 1315 × 5 + 0
1315 = 263 × 5 + 0
So,
Prime factors = 5 × 5 × 5 × 263
Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.
To start divide it by each of them:
59859/2=29929.5
59859/3= 19953
59859/5= 11971.8
59859/9= 6651
59859/10= 5985.9
Now look at which of the choices are whole numbers
3 and 9 are the only non decimal numbers, therefore, C would be your answer.
Step-by-step explanation:
