The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.
Now, by the intersecting chord theorem,
16×4 = <em>x</em> × <em>x</em>
or
<em>x</em> ² = 64
so that
<em>x</em> = 8
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Answer:
Option A is the right answer.
146-4b = 122-1b
Reason: vertical angles
Answer:
x = 26
Step-by-step explanation:
Supplementary angles mean that when the two angles are added together, they add up to 180. With this info, we can set the two expressions equal to 180
124 + (2x + 4) = 180.
128 + 2x = 180 combine like terms
2x = 52 subtract both sides by 128
x = 26. divide both sides by 2
Answer:
D.
Step-by-step explanation:
There is not enough information to determine congruency. The corresponding angles are congruent, but angle measures do not affect side lengths. For example, a 45-45-90 right triangle could have side measures of 1, 1, √2 and another 45-45-90 right triangle could have side measures of 2, 2, 2√2. They are both special right triangles, but they are not congruent until you know some side lengths. You can only say these are similar.
