Answer:
23 degrees
Step-by-Step Explanation:
SU is the transversal between the two parallel lines ST and RU
so angle SUR is equal to angle TSV=31 degrees
angle RVU is 126 degrees also because it is a vertical angle with angle SVT
angle URV is the angle being looked for in the triangle URV, and we know the two others sum to 157 degrees.
Therefore, it is 23 degrees.
(1/2) / (1/4) =
1/2 * 4 = 4/2 = 2 ....she needs to fill it 2 times
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
