Answer:
Step-by-step explanation:
1) ∠1 + 33 = 180 {Straight line}
∠1 = 180 - 33
∠1 = 147
2){Exterior angle of a triangle equals the sum of opposite interior angles}
∠2 = 47 + 33
∠2 = 80
3) ∠2 +x = 180 {straight line}
80 + x = 180
x = 180 - 80
x = 100
{Exterior angle of a triangle equals the sum of opposite interior angles}
∠3 = 100 + 48
∠3 = 148
Answer:
2a-3 and a+4
Step-by-step explanation:
Given the equation
2a²+8a -15 = 3a - 3
We are to find one of its factors
Equate the expression to zero
2a²+8a -15 = 3a - 3
2a²+8a -15 - 3a + 3 = 0
Collect the like terms
2a²+8a - 3a - 15 + 3= 0
2a²+5a - 12= 0
Factorize
2a²+8a-3a - 12= 0
2a(a+4)-3(a+4) = 0
(2a-3)(a+4) = 0
Hence the factors are 2a-3 and a+4
Answer:
147
Step-by-step explanation:
x = 7,
3x² = 3 × 7²
= 3 × 49
= 147
Answer:
13
Step-by-step explanation:
(n-2) +(n-1) +n =3n-3=36
n=(36+3)/3=13
Consecutive integers are 11,12 and 13