Answer:
EF = 1.5. DF = 2.
Step-by-step explanation:
DE is half of AB so EF is half of BC and DF is half of AC.
From the given scenario, it can be deduced that Carrie ate 3/5 of what was left of the oranges that were left. To determine the fraction that Carrie ate, we will multiply 3/5 by 1/4. This is equal to 3/20. Thus, Carrie ate approximately 3/20 of the oranges left.
3x + 1 = y
2x + 3y = 14
To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.
2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14
3 + 1 = y
2 + 3y = 14
4 = y
3y = 2
4 = y
4 = y
The solution to this system of equations is (1, 4).
Answer:
a ≈ 5.3
Step-by-step explanation:
Using Pythagoras' theorem
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 6² = 8², that is
a² + 36 = 64 ( subtract 36 from both sides )
a² = 28 ( take the square root of both sides )
a = 
≈ 5.3 ( to the nearest tenth )
Answer:the answer c
Step-by-step explanation:
