How many lines of symmetry does the shape below have?
1 answer:
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Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that , where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into
.
and
=12. Therefore, the height of the parallelogram is
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and
Consider the first blank is the green box.
Given:
The equations are
To find:
The value belongs in the green box
Solution:
We have,
...(i)
...(ii)
Adding (i) and (ii), we get
So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.