<h3>
Answer: 80 degrees</h3>
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Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
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Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
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Here's what we have so far for quadrilateral DAEC
- angle A = 90
- angle E = 100
- angle C = 90
- angle D = unknown
Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
Follow these steps and you should get your answer its not the same questions but it should help
The answer to the problem is as follows:
These two polynomials are 5x^2 + 3x + 5 and 3x^2 +2x + 2:
Subtracting the second expression from the first:
<span>5x^2 + 3x + 5
- (3x^2 +2x + 2)
</span>____________
<span>2x2 + x + 3 <------------- The difference
</span>
A. X^2-10x. =-8
To complete the square you get half of -10 and then square that number half of -10 is -5 and -5 times -5 equals positive 25 that would you add to each side
x^2-10x+25=-8+25
17
Answer:
1/5
Step-by-step explanation:
Reciprocal just means flipped you can put any whole number over 1 if it helps to see that
5/1 = 5
Since reciprocal is asking you to flip 5/1 meaning numerator becomes denominator and vice versa you end up with 1/5 being the reciprocal of 5