PLEASE HELP (100PTS)
1 answer:
Answer:
x = 6
Step-by-step explanation:
• ∠THX and ∠XHV have a common side HX and a common vertex H
This means they are two adjacent angles.
Then
m∠THX + m∠XHV = m∠THV
Then
53 + 12x−9 = 16x + 20
<u>Solving the equation</u>:
53 + 12x−9 = 16x + 20
⇔ (53 − 9) + 12x = 16x + 20
⇔ 44 = 16x - 12x+ 20
⇔ 44 - 20 = 4x
⇔ 24 = 4x
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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
The quadratic equation 
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.