Answer:
The correct answer is monthly . -APEX
Step-by-step explanation:
Answer:
The length of the side of the triangle is 10 inches.
Step-by-step explanation:
Let p = perimeter of the equilateral triangle
Let P = perimeter of the square
Let s = length of side of the triangle
Let S = length of side of the square
"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"
p = P + 6 Equation 1
"the side of the triangle is 4 inches longer than the side of the square"
s = S + 4 Equation 2
We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.
For an equilateral triangle,
p = 3s Equation 3
For a square,
P = 4S Equation 4
Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.
3s + 4S = 6
s = S + 4
Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.
S = 4 - s
Substitute S = 4 - s into equation 3s + 4S = 6.
3s + 4(4 - s) = 6
3s + 16 - 4s = 6
-s = -10
s = 10
Answer: The length of the side of the triangle is 10 inches.
Answer:
Distribute
8
−
4
=
2
(
4
−
4
)
8x-4={\color{#c92786}{2(4x-4)}}
8x−4=2(4x−4)
8
−
4
=
8
−
8
8x-4={\color{#c92786}{8x-8}}
8x−4=8x−8
2
Add
4
4
4
to both sides of the equation
8
−
4
=
8
−
8
8x-4=8x-8
8x−4=8x−8
8
−
4
+
4
=
8
−
8
+
4
8x-4+{\color{#c92786}{4}}=8x-8+{\color{#c92786}{4}}
8x−4+4=8x−8+4
3
Simplify
Add the numbers
Add the numbers
8
=
8
−
4
8x=8x-4
8x=8x−4
2 more steps
Result
0
=
−
4
0=-4
0=−4
The input is a contradiction: it has no solutions
Answer:
There is a 9 out of 14 chance that the marble will be white or there is a 3 out of 5 chance along with a 6 out of 9 chance.
Step-by-step explanation:
Since there's a total of 14 marbles from both bags and there are a possible 9 white marbles, it would be a total of 9 out of 14, or it would be separate and be a 3 out of 5 chance with a 6 out of 9 chance.
