Answer:
see details.
Step-by-step explanation:
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Given that NQ ll PR, find NP
1 answer:
The parallel lines cuts the sides in equal proportion to give NP = 0.8
<h3>How can the length of NP be found?</h3>The given diagram consists of a line parallel to one of the sides of the triangle.
According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:
NQ || PR
By triangle proportionality theorem;
Which gives;
2×5 = 8 × NP
- <u>NP = 8 ÷ 10 = 0.8</u>
Learn more about the triangle proportionality theorem here:
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Answer: Solution: and
.
Step-by-step explanation:
The given pair of equations:
Eliminate equation (i) from (ii) , we get
Put value of b in (ii) , we get
Solution: and
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Point a is at (-2,4) => (x1,y1)
Midpoint is (2.5, 3.5) => (a,b)
Point B is (x2, y2)
To find midpoint we use formula
a= 2.5, b= 3.5, x1= -2 and y1= 4
Plug in all the values and findout x2, y2
multiply 2 on both sides to remove fraction
(5 = -2+x2 , 7 = 4+ y2)
5 = -2+x2, so x2= 7
7 = 4+ y2, so y2= 3
The point B is ( 7, 3)