Answer/Step-by-step explanation:
∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.
This,
Solve for x
Use the value of x to find AC and DC
First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)
Since the problem states "a number" and again "a number", I assume it;'s the same number. Let the number be x.
12x - 9x = 3x
The difference of twelve times a number and nine times a number is three times the number.
Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
The answer is B. 3
It is the only value not attached to a variable, thus remaining constant.
