Answer:
x = 24 , y = 19
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
2x - 8 = x + 16 ( subtract x from both sides )
x - 8 = 16 ( add 8 to both sides )
x = 24
and
2y = y + 19 ( subtract y from both sides )
y = 19
Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
Answer:
CU = 117
Step-by-step explanation:
Since we have similar triangles, we can use proportions. Put the small triangle sides over the large triangle side.
WC WD
----------- = -------------
WU WV
26 20
----------- = -------------
36x-1 110
Using cross products
26*110 = 20* (36x-1)
Distribute
2860 = 720x - 20
Add 20 to each side
2860+20 = 720x-20+20
2880 = 720x
Divide by 720
2880/720 = 720x/720
4=x
We need to find CU
CU = WU - WC
Substituting in what we know
CU = 36x-1 -26
Since we know x=4
= 36*4 -1 -26
144 - 27
= 117
Answer:
he sum of the angles in all these triangles will be n x 180 degrees. The sum of the angles around the interior point is clearly 360 degrees, so the sum of the polygon’s angles will be (180n)-360 = (n-2) x 180 degrees.Here we have (n-2) x 180 = 2160, so n-2 = 12. So the polygon has 14 sides. 606 views
Step-by-step explanation:
