Answer:
x = 3
Step-by-step explanation:
These angles are vertical angles. Vertical angles equals to on another but on the opposite side. Since they equal to another you do:
(10x + 1) = (12x - 5)
Add 5 on both sides:
10x + 6 = 12x
Subtract 10x on both sides:
6 = 2x
Divide 2 on both sides:
3 = x
Answer:
why
Step-by-step explanation:
It takes the son one and half hours to clean the house. To find this you need the equations F+S=2 and F+1=S. (F=father and S=son) You take the F+1 and substitute it in for S in F+S to get F+(F+1)=2. Then you combined like factors, 2F+1=2, and simplify to get F=.5hr. After this you plug .5 in to F+1=S to get (.5)+1=S, meaning it takes the son 1.5 hour to clean the house.
Answer:
x = 6
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0
(x + 8)(x - 6) = 0 ← in factored form
equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
however, x > 0 , then x = 6
Answer:
This is your answer <(￣︶￣)↗
Step-by-step explanation:
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