A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
Answer:
(i) 520
(ii) 2
Step-by-step explanation:
(i) x³ + y³
Plug x as 2, and y as 8.
(2)³ + (8)³
Solve for exponents.
8 + 512
Add.
= 520
(ii) ∛y
Plug y as 8.
∛(8)
Solve for cube root.
= 2
Answer:A
Why: Because 3-6 reduces to 1-2
Answer:
45 per minute. 450 in 10 minutes.
Step-by-step explanation:
Distance/ Time
315/ 7 = 45
Unit rate x how far you need to go
45 x 10 = 450
Answer:
P = 0.9893
Step-by-step explanation:
The mean weight of the babies born is 4088 and a variance of 55696
This is a sampling question with sample size, n = 128
To find the probability that the mean weight 4088 is greater than 4132
Therefore, probability is given as
P = 4088/4132
P = 0.9893