Answer:
AQ = 20 units
Step-by-step explanation:
Comparing triangle AQR to ABC,
= 
= 
cross multiply and make p the subject of formula, we have:
8p (2p+3) = 4p(6p-4)
16
+ 24p = 24
- 16p
24p + 16p = 24
- 16
40p = 8
divide through by 8p,
p = 5
Therefore, AQ = 4p
= 4 × 5
= 20
AQ = 20 units
Answer:
54 is the sum of 11 and Raj's age. Use variable "r" to represent Raj's age
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
1:1, because there’s a same number of both !
Answer:
$150
Step-by-step explanation:
$100 + 100% = $200 in the first year
$200 - 25% = $150 in the second year