Answer:
(B) 18.
Step-by-step explanation:
We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).
First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.
We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.



Therefore, the perimeter of the given quadrilateral is 18 units.
Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.
Answer:4000
Step-by-step explanation: becuase each would get 3000 and he got 1000 so 3000+1000=4000
The equivalent expression is 1.05t and then 24 x 0.05 equals 1.2 so 25.2
The area of △XYZ according to the figure is 363ft²
<h3>Area of triangles</h3>
The formula for calculating the area of a triangle is expressed as:
A = 0.5bh
- b is the base
- h is the height
<h3>Calculate area of each triangles</h3>
For the triangle △NMO
Area of △NMO = 0.5bh
147 = 0.5b(14/12)
147 = 7b/12
7b = 12 * 147
b = 252
b = 252ft
b = 3024in
Get the base of △XYZ
14/3024 = 22/XZ
XZ = 4,752in
Area of △XYZ = 0.5 (4,752)(22)
Area of △XYZ= 52,272in²
Area of △XYZ = 363ft²
Hence the area of △XYZ is 363ft²
Learn more on area of triangles here: brainly.com/question/17335144