The correct answer is: x = 8 (Option D)
Explanation:
Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).
It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,
BC = 20
FE = 3x - 4
Since,
BC = FE (By using congruence statement mentioned above)
20 = 3x - 4
3x = 20+4
3x = 24
x = 8
Hence the correct answer is: x = 8
~Hello There!~
12/2 = 6
24/4 = 6
36/6 = 6
etc.
As you can see, y is always 6 times the value of x.
Therefore, the equation would be y = 6x
Hope This Helps You!
Good Luck :)
Have A Great Day ^_^
- Hannah ❤
7:14 or simplified 1:2 (use simplified)
Find total amount of fruit by adding
4+7+3=14
7 pears to 14 total fruits in ratio form is 7:14 which simplifies to 1:2
Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
