Answer:
x =12
Step-by-step explanation:
The two angles are complementary, so the add to 90 degrees
5x+1/2x +24 = 90
Combine like terms
5 1/2 x +24 = 90
Subtract 24 from each side
5 1/2 x = 90-24
Change the mixed number to an improper fraction
11/2 x = 66
Multiply by the reciprocal 2/11 on each side
2/11 *11/2 x = 66*2/11
x = 6*2
x =12
Answer:
The slope is m = -2/3
Step-by-step explanation:
Use the slope intercept form y = mx + b to find the slope m
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.
</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.
A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.
12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.
Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.
Shape C is a <em>prism.</em>
Shape D is a <em>pyramid.
</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.
A cube is a 3-D shape with six sides, all made up of squares of the same size.
The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.
This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.
1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.
To find the number of layers needed to fill the box, you divide 120 by 24.
120 ÷ 24 = 5
The answer to #13 is 5 layers.
So to graph you problem you should first consider that the one side of the bar is 150feet because it is in the other partitioned of the fence and the function of it would be 150(x) because the barn's area is calculated through it length time width. I hope this will help
