Please provide your work for your answer, the answer is not much important, the work that led to the answer is what matters the
most. Provide answer too tho. Please help I dont have much time left. Will give brainliest to most thoughtful and correct answer. Thanks and have a great day everyone!
2 answers:
Answer:
It gives you 28 different 10-digit numbers
Step-by-step explanation:
The leftmost position digit can not be 0 --- hence, it is 1, since there is no other possibilities.
The rightmost position (the "ones" position) must be 0 to provide an even number.
Hence, you have 8 remaining positions to fill with six ones and two zeros by an arbitrary way.
You can place two digits of zero among 8 positions by =
different ways = 4*7 = 28 different ways,
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First option: correct. This is because angles WOX and XOZ are supplementary, so
Second option: correct. By the inscribed angles theorem, we have
Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.
Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means
Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.
Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have