Answer: a reflection over the y axis and then moving the figure 8 units down would put it there.
Answer:
7
Step-by-step explanation:
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;
![\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR }](https://tex.z-dn.net/?f=%5Cmathbf%7B%20%20%20%20%5Cfrac%7B%20MN%20%7D%7B%20NP%7D%20%7D%20%3D%20%20%5Cfrac%7B%20MQ%20%7D%7B%20QR%20%7D%20)
Which gives;
![\mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 }](https://tex.z-dn.net/?f=%20%5Cmathbf%7B%20%20%20%20%5Cfrac%7B%205%20%7D%7B%20NP%7D%20%7D%20%3D%20%20%5Cfrac%7B%208%7D%7B%202%20%7D%20)
2×5 = 8 × NP
Learn more about the triangle proportionality theorem here:
brainly.com/question/8160153
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Answer: The axis of symmetry is x=3.
<h2>
The value of r = ![\dfrac{U-FB}{F}](https://tex.z-dn.net/?f=%5Cdfrac%7BU-FB%7D%7BF%7D)
</h2>
Step-by-step explanation:
We have,
U = F(r + B)
To find, the value of r = ?
∴ U = F(r + B)
Dividing both sides by F, we get
![\dfrac{U }{F}=\dfrac{F(r+B) }{F}](https://tex.z-dn.net/?f=%5Cdfrac%7BU%20%7D%7BF%7D%3D%5Cdfrac%7BF%28r%2BB%29%20%7D%7BF%7D)
⇒
= r + B
⇒ r + B =
⇒ r =
- B
⇒ r = ![\dfrac{U-FB}{F}](https://tex.z-dn.net/?f=%5Cdfrac%7BU-FB%7D%7BF%7D)
∴ The value of r =![\dfrac{U-FB}{F}](https://tex.z-dn.net/?f=%5Cdfrac%7BU-FB%7D%7BF%7D)