Answer:
17
Step-by-step explanation:
< ABD = <ABC + < CBD
Substitute in what we are given
87 = 9x-1 + 6x+58
Combine like terms
87 = 15x +57
Subtract 57 from each side
87-57 =15x +57-57
30 = 15x
Divide by 15
30/15 =15x/15
2=x
We want to find <ABC
<ABC = 9x-1
= 9*2-1
=18-1
=17
Answer:
A, C, and D
Step-by-step explanation:
The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:
slope = 
Thus, the slope is 3/2 = 1.5.
Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.
So, we can choose A, C, and D.
Hope this helps!
30÷5=6
4×5=20
for every 30 green lights there are 20 white lights
Answer:
<em>3 hours</em>
Step-by-step explanation:
Given that:
Average speed of Willie = 40 km/h
After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.
After some time, they are 410 km apart.
To find:
Number of hours = ?
Solution:
For the first two hours, Willie traveled alone.
Formula for distance:

Distance traveled in two hours by Willie = 
Now, they both travel in opposite directions.
So the relative speed is = 40 + 70 = 110 km/h
The distance traveled by them = 410 - 80 = 330 km

Therefore, the time taken is <em>3 hours.</em>
Represent Age of Time Traveler =========> X
Solve:
x = 3(x - 20 )
Step 1: Simplify Both sides of equation:
x = 3(x - 20 )
x = (3) (x) + (3) ( - 20 ) (Distribute ):
x = 3x + - 60
x = 3x - 60
Step 2: Subtract 3x from both sides:
x - 3x = 3x - 60 - 3x
- 2x = - 60
Step 3: Divide both sides by -2:
- 2x / - 2 = - 60 / - 2
x = 30
Answer: Our Time Traveler is 30 years old.
Hope that helps : )