Answer:
∠ 1 = 20 x + 5
∠ 2 = 24 x - 1
If lines l and m are parallel:
∠ 1 + ∠ 2 = 180°
20 x + 5 + 24 x - 1 = 180
44 x + 4 = 180
44 x = 180 - 4
44 x = 176
x = 176 : 44
x = 4°
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Step-by-step explanation:
Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
Answer:
4) divide, 5) multiply, 5) divide
Step-by-step explanation:
4) you need to divide to determine the length each individual ribbon will be
5) you need to multiply the price of one shirt by three to find the price of three shirts
6) you need to divide the amount of dog food the dog will eat each day by the amount of dog food to see how many days the food will last.
From the first two inference, it takes her phone 1 minute to charge 2% i.e 1 minute of charge = 2% of battery.
Therefore; charging from scratch,
1 min = 2%
x mins = 50%.
using cross multiplication,
x mins = (50% × 1 min) ÷ 2%.
x = 25 mins.
For 90%, applying the same formula,
y min = (90% × 1 min) ÷ 2%
y = 45 mins.
So from zero percent, it will take Dana's phone 25 minutes to charge to 50% and 45 minutes to charge to 90%.
Answer:
y <= -40
Step-by-step explanation:
3x-4 = 2x +6 --->
3x-2x = 6+4 ---->
x = 10 --->
y <= -4 times 10--->
y <= 40