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
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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:
9900
Step-by-step explanation:
Round 900 down because 47 is closer to 900 than 1000.
Answer:
32.5%
Step-by-step explanation:
His debt payments total $300 +350 = $650.
As a fraction of his income, that is ...
$650/$2000 = 325/1000 = 32.5/100 = 32.5%
Nicholas's debt to income ratio is 32.5%.
Answer:
9(2p-4)
Step-by-step explanation:
Took the test, Hopefully this helps
Answer:
x=132°
Step-by-step explanation:
All four angles should add up to 360°
65°+86°+77°+x=360°
x=132°
