Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length 
Length 
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where
Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units
Answer:
k = 168
Step-by-step explanation:
rewrite the equation
Multiply 42 to isolate k. Do the same on the other side
42 * 4 = 168 When you do that you get 168.
Answer:
5. independent variable hours (h); dependent variable; total cost
6. t= 10h + $4.50
Step-by-step explanation:
The final result in dependent on how many hours he uses the boat.
Answer:
180 Degrees
Step-by-step explanation:
So, m∠1 = m∠2 = m∠3 means that these angles are the same degrees
The question asks whats the degree of m∠CDG so first we find those points. In this image, it looks like points C,D and G form a line which is also equivalant to 180.
I hope you understand! If not, i'll try to elaborate more
Answer:
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
