Answer:
m = 3, n = 6
Step-by-step explanation:
The hypotenuse leg (HL) theorem states that two triangles are said to be similar if one leg and the hypotenuse of the triangles are congruent.
From the diagram, comparing the hypotenuse of the triangles;
4m + 1 = 13
4m = 13 - 1
= 12
m = 
= 3
m = 3
Also, comparing the sides;
2m + n = 8m - 2n
substitute the value of m to have,
6 + n = 24 - 2n
collect like terms,
n + 2n = 24 - 6
3n = 18
n = 
= 6
n = 6
m = 3, n = 6
Answer:
4 more hours
Step-by-step explanation:
First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.
Hope this helps
Answer:
The approximate height of man if he is standing on the top of leaning ladder will be 13 m.
Step-by-step explanation:
Distance from bottom of building to the point where ladder touches the wall = p
Length of the ladder = h = 12 m
Distance of ladder from the bottom of the building = b = 5 m
Height of the man ,x= 1.87 m
Height of man if he is standing on the top of leaning ladder = p+ x
=10.908 m+ 1.87 m = 12.778 m ≈ 13 m
(x, y)
When you are asked for the midpoint, just find the average for both the x and y components:
So the midpoint for A(-3, -3) and B(6, 6)
The xs components are -3, and 6, Average = (-3 + 6)/2 = 3/2 = 1.5
The ys components are -3, and 6, Average = (-3 + 6)/2 = 3/2 = 1.5
So the midpoint is (1.5, 1.5)
I hope this helps.
Answer: 60 trees
Explanation:
Even if there are trees planted per acre, the decrease of yield of each tree is significant enough to make it less worthwhile to have more trees than less.
In other words, when she plants 60 trees per acre, she gets 2700 bushels of fruit per acre, because 45 bushels per tree = 45 • 60 = 2700. If you plant another tree, you get the equation 41 • 61 = 2501 because there are 4 less bushels per tree. 2501 < 2700 so 60 per acre would maximize the harvest.
