Answer:
The volume of the prism is 576 cubic feet
Step-by-step explanation:
Length of rectangular prism = 8 feet
Width of rectangular prism = 6 feet
Height of rectangular prism = 12 feet
Volume of rectangular prism = 
Volume of rectangular prism =
Volume of rectangular prism =
Hence the volume of the prism is 576 cubic feet
Answer:
Step-by-step explanation:
jack=35
Hassan=x
x+35=255
255-35=$220 (It has to be x=)
So:
220/2=$110
Therefore:
Hassan=$110
Jack=$110+$35=$145 (because he had earned $35 more)
Answer:
The area of the shape is
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.

Answer:
FOR QUESTION 5
1. Angle 1 congruent to angle 4; given
2. Angle 1 supplementary to angle 2; assumed from diagram
3. Angle 4 supplementary to angle 3; assumed from diagram
4. Angle 2 congruent to angle 3; angles supplementary to congruent angles are congruent
5. Angle 3 congruent to angle 5; verticla angles are congruent
6. Angle 2 congruent to angle 5; substitution
FOR QUESTION 6
1. Angle 2 congruent to angle 3; given
2. Angle 2 congruent to angle 1; vertical angles are congruent
3. Angle 3 congruent to angle 4; vertical angles are congruent
4. Angle 1 congruent to angle four; substituiton (see statement #1)
Step-by-step explanation:
Answer:
w=−5
Step-by-step explanation: