Answer:
Step-by-step explanation:
<u>Opposite / adjacent = tangent</u>
- tan 29° = 19 /x
- x = 19 / tan 29°
- x = 34.3 (rounded)
The value of x is 9.
Solution:
Proportionality theorem:
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
In the given triangle, the middle line is parallel to the base, so the sides are in the same ratio.
![$\Rightarrow\frac{9}{72} =\frac{3x-20}{56}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B9%7D%7B72%7D%20%3D%5Cfrac%7B3x-20%7D%7B56%7D)
Do cross multiplication.
⇒ 9 × 56 = 72(3x – 20)
⇒ 504 = 216 x – 1440
Add 1440 on both sides of the equation.
⇒ 1944 = 216 x
Divide by 216 on both sides of the equation.
⇒ 9 = x
Switch the sides.
⇒ x = 9
The value of x is 9.
You multiply 127 by 18 and 35,then you add it
2286+4445
ans=6731
Let's say side length is s.
s*s = 500, so s = √500.
4 sides needed, total length thus 4*s.
4√500 ≈ 89.4
Here
Total students=30
Total donation =$500
Then
Remainder dollers=500-270
=230
Again
230/30
7.66
Hence $7.66 should collected by each students