Answer:
u = 6
Step-by-step explanation:
When two triangles are similar, one can multiply one side by the ratio of the similitude to get find the length of the corresponding side in its similar triangle. The ratio of similitude can simply be defined as the scaling factor between two similar polygons. One can find the ratio of similitude by dividing two corresponding sides in similar triangles.
It is given that side NP is similar to OP. Therefore;
![\frac{OP}{MP}\\=\frac{10}{5}\\=2](https://tex.z-dn.net/?f=%5Cfrac%7BOP%7D%7BMP%7D%5C%5C%3D%5Cfrac%7B10%7D%7B5%7D%5C%5C%3D2)
The ratio of similitude between the two given triangles is; 2
To find side NP, one must multiply it corresponding side, PL by the ratio of similitude;
PL * 2
= 3 * 2
= 6
Answer:
its a right ray
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) angle GLH = angle JLI. This is so because they are vertically opposite angles.
angle JLI = 30 degrees. Therefore,
angle GLH = 30 degrees.
2) The sum of angles at a point is 360 degrees. It means that
Angle HLI + angle JLI + angle KLJ + angle GLK + angle HLG. Therefore,
Angle HLI + 30 + 60 + 90 + 30 = 360
Angle HLI + 210 = 360
Angle HLI = 360 - 210 = 150 degrees
3) angle ILK = 60 + 30 = 90 degrees