Answer:
x=10
Step-by-step explanation:
We can use the angle bisector theorem to solve this problem
8 12
-------- = ---------
x+4 2x+1
Using cross products
8(2x+1) = 12(x+4)
Distribute
16x+8 = 12x+48
Subtract 12x from each side
16x -12x +8 = 12x-12x +48
4x +8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
4x/4 = 40/4
x=10
Answer:
6x^4
Step-by-step explanation:
On a supply and demand graph you would see that the supply would meet the demand at the central point creating a secure system. However, this could change for the better or worse, compared to how "popular" the item is in the market.
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
Answer its a
Step-by-step explanation:
