The measure of angle 2 is 
Explanation:
Given that 
and 
are complementary angles.
Also, the measure of angle 1 is 
We need to determine the measure of
Since, we know that the complementary angles add up to 90°, then the angles and add up to 90°.
Thus, we have,
Substituting the value of in the above expression, we have,
Subtracting both sides by 76°, we get,
Simplifying, we have,
Thus, the measure of angle 2 is
9514 1404 393
Answer:
24.1 units
Step-by-step explanation:
This is done using the Pythagorean theorem (or distance formula) to find the lengths of the sides.
For each side of the figure (except the bottom horizontal), you need to identify the dimensions of the right triangle whose hypotenuse is the side of interest. For example, LM is the hypotenuse of a triangle 4 units high and 1 unit wide. The Pythagorean theorem tells you LM has a length of ...
LM = √(4^2 +1^2) = √17 ≈ 4.12
Similarly ...
KL = √(2^2 +2^2) = √8 ≈ 2.83
JK = √(1^2 +6^2) = √37 ≈ 6.08
NJ = √(5^2 +1^2) = √26 ≈ 5.10
Of course, the length of MN is found by finding the difference of the x-coordinates:
MN = 3 -(-3) = 6
Then the perimeter is the sum of side lengths:
4.12 +2.83 +6.08 +5.10 +6.00 = 23.17 ≈ 24.1 . . . units
Answer: 0.4 which is choice C
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Work Shown
Focus on the "riverside high school" row only
A = number of twelfth graders = 200
B = number of students = 500
P = probability of picking a twelfth grader
P = A/B
P = 200/500
P = 2/5
P = 0.4
