Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
Answer:
tan 10 degrees.
Step-by-step explanation:
tan x = cot (90 - x) so:
cot 80 = cot (90 - 10)
= tan 10.
Slope intercept form:
y = mx + b
Where m = slope and b = y-intercept.
By looking at the graph, we can see that the line cuts at 1/2 on the y-axis, therefore eliminating option D.
So now we have:
y = mx + 1/2Next, we'll find the slope.

Plug the coordinates into the formula.

So our slope is 5/8 and the y-intercept is 1/2.
Option A is the answer.
The right answer is Option D.
Step-by-step explanation:
Given equations are;
2x+4y=3 Eqn 1
x+3y=13 Eqn 2
When we use subtraction-addition method, we make one of the variables same with opposite signs so that only one variable remains after addition or subtraction.
In the given problem, we will multiply Eqn 2 with "-2" so that the x variables become equal and then we can add both the equations and solve for y.
Therefore,
The first step will be to multiply the second equation by -2 to solve the linear system of equations.
The right answer is Option D.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Answer:
The perimeter is 
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so

we have



The diameter of the circle is equal to the length side of the square
substitute


