A. Karl
Karl has an average of 104 and Fredo only has an average of 99.6
Answer:
<u>x = 18</u>
Step-by-step explanation:
1. Let's solve for x, using the supplementary angles theorem, this way:
∠ C = 180 - 7x + 2 because they are supplementary angles. And these angles add up to 180 degrees.
∠ D = 180 - 9x + 31 because they are supplementary angles. And these angles add up to 180 degrees.
∠ E = 180 - 4x - 33 because they are supplementary angles. And these angles add up to 180 degrees.
Now, let's recall that the interior angles of a triangle add up to 180 degrees. Thus:
∠ C + ∠ D + ∠ E = 180 °
Replacing with the real values for solving for x:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
- 20 x + 540 = 180
- 20 x = 180 - 540 (Subtracting 540 to both sides)
- 20 x = - 360
<u>x = 18 (Dividing by - 20)</u>
<u>Proving that x = 18 is correct</u>
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
180 - 9 (18) + 31 + 180 - 4 (18) - 33 + 180 - 7 (18) + 2 = 180
180 - 162 + 31 + 180 - 72 - 33 + 180 - 126 + 2 = 180
573 - 393 = 180
180 = 180
<u>We proved that x = 18 is correct</u>
She is incorect because
(a+b)^2 =a^2 +b^2+ 2ab
a + b
____###### If we sqare this will get:
____######
|.a^2|. ab |
|___ |######
# #. #
# ab #. b^2 #
#___ ######
They will be perpendicular to their pre image
good luck
Answer:
14.4
Step-by-step explanation:
sin x = 24/30
x = sin^-1 (24/30) = 53.13
sin 53.13 = x/18
x = sin 53.13 x 18 = 14.4
