Answer:
6x + 11
Step-by-step explanation:
3x + 3 + 3x + 8
Combine like terms (terms with the same amount of variables).
3x + 3x + 3 + 8 =
(3x + 3x) + (3 + 8) =
6x + 11
6x + 11 is your answer.
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Answer:
The slant of the ladder is 5 ft
Step-by-step explanation:
Look at the attached figure to understand this situation
∵ a represents the distance from the edge to the top step
∵ The distance from the edge to the top step is 4 ft
∴ a = 4 ft
∵ b represents the distance to the house's edge from the bottom step
∵ The distance to the house's edge from the bottom step is 3 ft
∴ b = 3 ft
∵ c represents the slant of the ladder
∴ We need to find c
→ By using the Pythagoras Theorem
∵ c = 
∴ c = 
∵ 
= 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
When you add something, you gain more of it. Therefore, it should be positive 2
2
Answer: GEF = 30 DEF = 40
Step-by-step explanation: By angle summation we know the entire angle
GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:
2x + 10 + 5x - 10 = 70
From here we can combine like terms:
7x = 70
and solve for x
x = 10
Then we can plug the value of x back into the equations given to solve for GEF and DEF
GEF:
2x+10 == 2(10)+10 = 30
DEF:
5x-10 == 5(10)-10 = 40
