Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Hi try
0.067
Explanation
6.7% = 0.067 in decimal form. Percent means 'per 100'. So, 6.7% means 6.7 per 100 or simply 6.7/100. If you divide 6.7 by 100, you'll get 0.067
Since the triangles are similar, the ratio of the sides of larger triangle to the smaller triangle is a constant.
That constant =

Since the sides are in that constant proportion, the area of the triangles will also be in proportion.
(Area of larger triangle) over (Area of smaller triangle) =



= 123.6 ≈ 124
Hence, to the nearest whole number the area of smaller triangle is 124 <span>ft</span>²<span>.</span>