Answer:
7) 40
8) 23
9) 63
Step-by-step explanation:
180 degrees in a triangle. Add the 2 degrees they give you, and then subtract that from 180 to find the missing angle.
82 + 58 = 140 180 - 140 = 40
115 + 42 = 157 180 - 157 = 23
27 + 90 = 117 180 - 117 = 63
Hope this helps.
Answer:
7=40, 8=23, and 9=63
Step-by-step explanation:
The key info to solve is that in a triangle there are 180 degrees
7) we add 82 and 58 and then subtract the total from 180 to find x
=82 + 58 = 140, and 180 - 140 = 40, so 40=x
We do the same for the rest
115 + 42 = 157, and 180 - 157 = 23, so 23=x
Wait whats that square in the triangle? It represents 90 degrees, a right angle!
so, 27 + 90(right angle) = 117, and 180 - 117 = 63, so 63=x
Answer:
x6 − x3 − 20 = (x3)2 − x3 − 20 = (x3 + 4)(x3 − 5)
Step-by-step explanation:
In this trinomial, the exponent of the first term, 6, is double the exponent in the second term, 3. And, the third term contains no variables. So, we can factor the expression as we would a quadratic, but treating x3 as if it were x:
Answer:
(x³ - 5)(x³ + 4)
Step-by-step explanation:
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x³ term (- 1)
The factors are - 5 and + 4, since
- 5 × 4 = - 20 and - 5 + 4 = - 1, hence
- x³ - 20 = (x³ - 5)(x³ + 4)