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>
False
The horizontal translation is from left to right which affects the x-value while the vertical translation is up to down which affects the y-value
Good luck!
Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
- Side #1 = 18
- Side #2 = 2x - 3
- Side #3 = x
<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>
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<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>
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<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>
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<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>