Answer:
Hank is correct
Step-by-step explanation:
With parallel lines intersected by the same line, all corresponding angles are equal. Also remember that the two angles the are formed on each line need to add to 180 degrees. So we can take the two given angle: 7x+10 and x + 10 and add them. x + 10 + 7x + 10 = 8x + 20 = 180
So Hank has the correct equation.
Answer:
24x + 8
Step-by-step explanation:
4 + 16 - 12(1 + 2x)
Solve
Show steps
__________________
We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.
Distribute :
4 + 16 - 12(1 + 2x)
4 + 16 - (12(1) + 12(2x))
4 + 16 - 12 + 24x
Use PEMDAS (Add left to right) :
4 + 16 - 12 + 24x
20 - 12 + 24x
8 + 24x
24x + 8
You haven't posted the answer choices, but Trey got the wrong answer.
The denominators must be the same in order to add the fractions. In this case, the denominators 15 and 10 are different. We cannot add in this current state.
Adding the denominators is a common mistake which you should practice to avoid.
The area of the composite figure can be solved by separating the figure into 3 portions, which are 2 identical rectangles with one rectangle.
The image of the composite figure will be shown below
Let us sketch out the image of the two identical rectangles
The formula for the area(A) of a rectangle is,
where,
Therefore, the area(A1) of the two identical rectangles are
Let me sketch the second rectangle
Therefore, the area(A2) will be
Hence, the area(A) of the composite figure is
Therefore, the area is