Answer:
Step-by-step explanation:
1) ∠1 + ∠2 = 180 {linear pair}
105 +∠2 = 180
∠2 = 180 - 105
∠2 = 75°
Reason: Linear pair
2) ∠3 = ∠1 {Vertically opposite angles are congruent}
∠3 = 105
Reason: Vertically opposite angles are congruent
Answer:
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Step-by-step explanation:
Let
Pounds of raisins = x
Pounds of cashew = y
x + y = 5 (1)
4.50x + 9.50y = 40 (2)
From (1)
x = 5 - y
Substitute x = 5 - y into
4.50x + 9.50y = 40
4.50(5 - y) + 9.50y = 40
22.50 - 4.50y + 9.50y = 40
- 4.50y + 9.50y = 40 - 22.50
5y = 17.5
y = 17.5 / 5
= 3.5
y = 3.5lb
Substitute y = 3.5 into
x + y = 5
x + 3.5 = 5
x = 5 - 3.5
= 1.5
x = 1.5lb
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Answer:
144 in²
Step-by-step explanation:
Find the area of the larger square, then subtract the area of the square we cut out.
The larger square has side length of 15, so it has an area of 15² = 225 in²
The smaller square has side length of 9, so it has an area of 9² = 81 in²
The area left over is
225 - 81 = 144 in²
Answer:
4
Step-by-step explanation:
y=mx+c,m(4) is the slope
Answer:
3.5%
Step-by-step explanation:
4000*3.5% =1400
4000-1400=2600 percentage rosie loss 3.5%