Answer:
x = 10
Step-by-step explanation:
∆RSE ~ ∆FGE
SE/ GE = RE/ FE
45/ 12x-3 = 55/ 143
3/ 3(4x - 1) = 11/ 143
11(4x-1) = 429
44x-11 = 429
44x = 440
x =10
Just a little tip f(x) means y. Even if it says a(x) it still means y. Hope this made it a slight bit easier sorry I couldn't help more than this.
2x − 3 < x + 2
∴ x − 3 < 2
∴ x < 5
x + 2 ≤ 3x + 5
∴ 2 ≤ 2x + 5
∴ -3 ≤ 2x
∴ -3/2 ≤ x
<span>-3/2 ≤ x < 5</span>
Answer:
x = 12
∠A = 144
Step-by-step explanation:
+ We have: ∠A = ∠C (alternate interior)
∠D = ∠C ( vertically opposite angles)
=> ∠A = ∠C (because = ∠C)
=> 10x + 24 = 6x + 72
=> 10x - 6x = 72 - 24
4x = 48
x = 12
+ ∠A = 10x + 24
∠A = 10 x 12 + 24
∠A = 144
These angles are same side interior angles. They add up to 180 degrees
