hope it would be helpful for you
Answer:
21
Step-by-step explanation:
Put them equal to eachother
(10x-29)=(8x+3)
2x=42
x=21
The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:

- b is the base of the triangle
- h is the height of the triangle
Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
![A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D%5C%5C)
Substituting the coordinate points:
![A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%282-%28-1%29%29%2B3%28-1-1%29%2B-1%281-2%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%283%29%2B3%28-2%29%2B-1%28-1%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B-3-6%2B1%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%28-8%29%5C%5C%7CA%7C%20%3D4%20units%5E2)
Recall that:

Hence the corresponding height of the triangle is 1.6 units
Learn more on area of triangles here: brainly.com/question/17335144
he answer would be 0.016 or if u want it longer it would be 0.0160256410
Answer:
1.- 140 in²
2.- 2.25 in²
3.- 43.25 in²
4.- 7.5 in²
5. 349.75 in²
Step-by-step explanation:
4 congruent triangles mean 4 triangles same measurement
area 1 triangle=(B*H)/2=(10*7)/2=35in²
for area of the roof are 4 by area 1 triangle=4*35=140 in²
2.- area hole. Hole is a square so area Is side by side
area=1.5*1.5=2.25
3.- area front except the hole. As the side of front is isosceles trapezoide which it’s area is (B1+B2)H/2 where B1=8 in and B2=5 in and H=7 in
so arera with hole=(8+5)*7/2=45.5 in²