Answer: The length of LK is 40.
Step-by-step explanation:
LK = 6x+10
KM = 2x+8
LM = 58
so
LM = LK + KM
or, 58 = 6x+10+2x+8
or, 58 = 8x + 18
or, 58-18 = 8x
or, 8x = 40
so, x = 5
now
LK = 6x + 10
= 6*5+10
= 30 +10
= 40
Answer:
The area of the triangle is 72 ft^2.
Step-by-step explanation:
Since A = (1/2)(base)(height),
if base = 9 ft and height = 16 ft, then
A = (1/2)(base)(height) = (1/2)(9 ft)(16 ft) = 72 ft^2.
Answer:
The solution in point form is (9,7) and the equation would be x+9, y=7
Step-by-step explanation:
By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.
With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.
Then you solve for y getting y=7.
With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)
Then you solve for x getting x=9
And with that you get the point (9,7)
Answer: The correct option is tan(F).
Explanation:
In the given figure the triangle is a right angle triangle because
.
It is also given that
and
.
Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.

The value of cos(F) is
.

The value of sin(F) is
.

The value of sin(D) is
.

The value of tan(F) is 1. Which is not equal to
.

The value of cos(D) is
.
Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.
Move all terms that don’t contain m to the right side and solve. M = 3