In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:
y - 4x = 9
-x + 4 = y
Add x to both sides of the second equation:
y + x = 4
y - 4x = 9
This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:
5x = -5
x = -1
Use x to solve for y:
y + (-1) = 4
y = 5
So, x = -1 and y = 5.
D.34 because 61 - 27 equals 34
Answer:
y = 27
Step-by-step explanation:
The given are two similar triangles.
We can use the following equation to find the variables:
Cross multiply fractions
32*18 = 24(y-3)
576 = 24y - 72
add 72 to both sides
648 = 24y
divide both sides by 24
27 = y
Answer:
Step-by-step explanation:
Given that X is uniform in the interval (0,A)
X is continuous since it represents the distance
A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we should find where the station be located so as to minimize the expected distance from the fire
Distance can be taken as absolute values here as either side is the same.
E(|x-a|] is to be minimum
E(|x-a|)=E(x-a) for 0<x<a
=E(a-x), for a<x<A
Using integral we find this value


Using calculus we find that f" is positive so when f' =0 we get solution
f'(a) =0 gives

Hence fire station to be located at the mid point of 0 and A
Answer:
x = 169º
Step-by-step explanation:
So we know that a straight line equals 180º. Now we have to come up with an equation. We're given 11º so the equation should look like:
x + 11 = 180 or 180 - 11 = x
I'll solve for both.
x + 11 = 180
-11 -11
x = 169
180 - 11 = x
180 - 11 = 169
x = 169