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So the carpets length is 56in. And the width is 30in.
So the carpets length is 56in. And the width is 30in.
In ANOP, the measure of P=90°, PN = 95 feet, and OP = 31 feet. Find the measure
1 answer:
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Answer:
Therefore = -3.
Step-by-step explanation:
i) let us say the slope of the line passing through (-2,7) and (4,9) is .
ii) to find the slope of the line passing through two points (,
) and (
,
) we use the formula m =
. Therefore we can say that
=
=
.
iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is
iv) from the formula for the slopes of a line and the line perpendicular to it which is given by ×
= -1, therefore
= -1 ÷
= -3. Therefore
= -3
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