Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
Answer:
D
Step-by-step explanation:
(-2 1/2, -3) = (-5/2 , -3) & (1, -3)
![Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%281-%5B%5Cfrac%7B-5%7D%7B2%7D%5D%29%5E%7B2%7D%2B%28-3-%5B-3%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%281%2B%5Cfrac%7B5%7D%7B2%7D%29%5E%7B2%7D%2B%28-3%2B3%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28%5Cfrac%7B7%7D%7B2%7D%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B2%7D%5C%5C%5C%5C%3D3%5Cfrac%7B1%7D%7B2%7D)
Yes, parallelogram congruent angles theorem
ANSWER
The solution is
(x,y)=(1,-5)
EXPLANATION
The equations are:
1st equation: 6x +5y=-19
2nd equation: 12x-8y=52
Multiply the first equation by 2:
3rd equation: 12x +10y=-38
Subtracy the 2nd equation from the 3rd equations.
12x-12x+10y--8y=-38-52
18y=-90
Divide both sides by 18.
y=-5
Put y=-5 into any of the equations and solve for x.
Preferably, the first equation will do.
6x +5(-5)=-19
6x -25=-19
6x=25-19
6x=6
x=1
The solution is
(x,y)=(1,-5)
Answer: The answer is 21.25 pounds.
Step-by-step explanation: Given that the weight of Akoala is 20 pounds. Also, she is carrying her joey with her having weight 20 ounces. We need to find the combined weight of the adult Akoala and her joey in ounces.
For that, first we need to conver ounces to pounds.
We know

Therefore, the combined weight is given by

Thus, the answer is 21.25 pounds.