Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.
Explanation:
The conjecture, #angleA and angleC# allows us to write the following equation:
#angleA + angleC=180^@#
Substitute the equivalent expressions in terms of x:
#x+2+ x-2 = 180^@#
#2x = 180^@#
#x = 90^@#
From this we can compute the measures of all of the angles.
#angleA=92^@#
#angleB=100^@#
#angleC=88^@#
<span>#angleD= 80^@#</span>
Since Christian sets aside $60 per month for daily coffee, and McDonalds sells coffee for $ 1, and The Bean Sprout sells a cup of coffee for $3, to create an equation that represents the combinations of coffee options that allow Christian to stay in his budget and provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following linear equation must be proposed:
M + BS = 60
2 combinations using the entire budget =
- 15 McDonalds + 15 The Bean Sprout = 15 + 45 = 60
- 30 McDonalds + 10 The Bean Sprout = 30 + 30 = 60
1 combination under budget =
- 15 McDonalds + 10 The Bean Sprout = 15 + 30 = 45
1 combination over budget =
- 30 McDonalds + 30 The Bean Sprout = 30 + 90 = 120
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Answer:
A) 12.
Step-by-step explanation:
Plug in 12 for x in the given equation:
x/4 + 9 = x
(12)/4 + 9 = 12
Simplify. Remember to follow PEMDAS. First, divide, then add:
(12/4) + 9 = 12
(3) + 9 = 12
12 = 12 (True).
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Perpendicular Bisector
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Angle Bisector
