Answer:
x=10
Step-by-step explanation:
these are similar triangles
8 12
------ = -----------
x+4 2x+1
using cross products
8* (2x+1) = 12(x+4)
distribute
16x + 8 = 12x+48
subtract 12x from each side
16x-12x +8 = 12x-12x+48
4x+8 = 48
subtract 8 from each side
4x+8-8 = 48-8
4x = 40
divide by 4
4x/4 = 40/x
x =10
Answer:
Step-by-step explanation:
2x - 3y = 9
-3y = -2x + 9

Parallel lines have same slope.So,
Slope m = 2/3
(4 , -1)
Equation: y - y1 = m(x - x1)
![y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}](https://tex.z-dn.net/?f=y-%5B-1%5D%3D%5Cfrac%7B2%7D%7B3%7D%28x%20-%204%29%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B2%7D%7B3%7D%2Ax%20-%20%5Cfrac%7B2%7D%7B3%7D%2A4%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D-1%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D-%5Cfrac%7B3%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B11%7D%7B3%7D)
b = -11/3
Answer:
The area of the triangular garden is
Step-by-step explanation:
we know that
The equilateral triangle has three equal sides and three equal internal angles (the measure of each internal angle is 60 degrees)
The area of a triangle applying the law of sines is equal to

In this problem we have a equilateral triangle
therefore


substitute


Answer:
Step-by-step explanation:
its A in the hint it tell you to look at the outer part which is perimeter