Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer: See the full explanation.
Step-by-step explanation:
You can actually do this using various life scenario. Let me help you with this example.
Suppose that one person is called Mike and he needs to buy something, here is your scenario for Mike to get what he want:
Mike wants to buy a pair of shoes that worth 37$ for a soccer game next week. He only has 5$ in his wallet. In order to get the remaining money, he decides to work in a market for a day. If the market pay 8$ per hour, how many hours does Mike need to have enough money to buy the shoes?.
This is the real life scenario. The equation is as above, because you can call "x" the number of hours needed, so as you solve the equation, you'll realize that the number of hours needed is 4:
8x + 5 = 37
8x = 37 - 5
8x = 32
x = 32/8 = 4 hours needed.
The probability of compound events combines at least two simple events, either the union of two simple events or the intersection of two simple events.
Answer:
8...its 8 from the origin.
Step-by-step explanation:
Answer:
y = 20x + 40
Step-by-step explanation:
Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.
That means fixed one time cost is $40 which doesn't changes with time.
If number of days is represented by "x" then rental cost for "x" days will be 20 times x or just 20x.
So the final cost will be sum of fixed cost and the rental cost per day which is:
20x+40
Now if "y" represents total rental cost over time then final cost equation can be written as:
y = 20x + 40
Hence final answer is y = 20x + 40y = 20x + 40.