Hyp: 8+x
Leg1: x
Leg2: x+7
Pythagorean triplet 5,12 &13 works
5 cm, 12 cm and 13 cm(Hypotenuse)<span />
<h3>
Answer: 8.2 (choice B)</h3>
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Explanation:
First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x
AD/BD = BD/DC
13/x = x/4
13*4 = x^2
52 = x^2
x^2 = 52
x = sqrt(52)
Segment BD is exactly sqrt(52) units long.
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Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC
(BD)^2 + (DC)^2 = (BC)^2
( sqrt(52) )^2 + ( 4 )^2 = ( m )^2
52 + 16 = m^2
68 = m^2
m^2 = 68
m = sqrt(68)
m = 8.2462 approximately
m = 8.2
First you want to set this into a fraction, so it would be 18/1 because every number has an imaginery one underneath it. then when you divide a fraction you multiply by the reciprical(the opposite) so it would be 18/1 times 3/1 then you can simply cross mutiply and divide, which you can't so then you simply take 18 times 3 which is 108/1 then you divide 108 divided by 1 which is 108, your answer is 108
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
