Answer: OPTION D
Step-by-step explanation:
You need to remember this property:
And remember that:
Then, the first step is rewrite the expression:
Now, to find the corresponding equivalent expression, you need to simplify the expression.
Therefore, the equivalent expression is the following:
Finally, you can observe that this matches with the option D.
Answer:
See below
Step-by-step explanation:
Part A:
area of parallelogram = base * height
A = 9 ft * 8/9 ft = 8 ft^2
Part B:
Connect point D to point B with a segment. Now you have 2 triangles.
The area of each triangle is base * height/2
area of triangle = bh/2 = (9 ft)(8/9 ft)/2 = 4 ft^2
Answer:
The first side= 9 inches
The second side=12 inches
The third side=7 inches
Step-by-step explanation:
Lets make expressions to represent each of the three sides of the triangle.
If we start with the second side and say its length is x inches, then the first side becomes (x-3) inches.
The third side is gotten by subtracting 2 inches from this first side. Then its expression becomes: (x-3)-2 which can be simplified to x-5 inches.
The perimeter of a triangle is found by adding the lengths of the three sides of the triangle, thus, we add the three expressions and then equate the result to the numerical value of the perimeter.
x+(x-3)+x-5=28
3x-8=28
collecting like terms together we get:
3x=36
x=12 inches
Therefore, the first side (x-3) we substitute for x so 12-3=9
second side x is 12
the third side x-5 gives 12-5=7
