(5x) / (2/11) = 3 / (1/5)
cross multiply
(5x)(1/5) = (2/11)(3)
x = 6/11
The angle measure of a straight line is 180°, and so if the you know that one angle off of it is (5x)°, then you know that the other section is (180 - 5x)°.
Because it's an isosceles triangle, there are two identical angles, which happen to be the angles with the measure of (5x - 30)° and (180 - 5x)°.
Since they have the same measure, 5x - 30 = 180 - 5x. Solve:
![5x-30=180-5x\\\\10x=210\\\\x=\frac{210}{10}=21](https://tex.z-dn.net/?f=5x-30%3D180-5x%5C%5C%5C%5C10x%3D210%5C%5C%5C%5Cx%3D%5Cfrac%7B210%7D%7B10%7D%3D21)
Thus,
x = 21°.
The two labeled angles are "vertical angles".
Vertical angles are equal.
So ...
14x + 8 = 15x
I'm sure you can handle it now.
Hi,
Answer:
100 m^2
Step-by-step explanation:
Formula to find area: A = ![\frac{pq}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bpq%7D%7B2%7D)
p: 5 + 5 = 10
q: 10 + 10 = 20
20 * 10 = 200
200/2 = 100
Have a nice day!
Let x be the number of rows and y be the number of trees per row.
x* y = 112
and y = 2x - 2
from first equation y = 112/x
so 112/x = 2x - 2
112 = 2x^2 - 2x
2x^2 - 2x - 112 = 0
x^2 - x - 56 = 0
(x - 8)(x + 7) = 0
x = 8 , - 7 (ignore the negative)
so the number of rows = 8
and number of trees per row = 112/8 = 14
Answer number of rows = 8 and number trees i each row = 14.