Answer:
D) 53 Degrees.
Step-by-step explanation:
Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.
1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.
2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.
3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.
Answer:
No
Step-by-step explanation:
If the line did pass through that point, then plugging in the point to the equation would be true. But when you plug in 4 for x, the y would be 18, not 15.
Similar: yes
Similarity Statement: AB ~ TQ , BC ~ QR
Scale Factor: 4/3
Answer:
More than 10% of Gillway students earned honors.
Step-by-step explanation:
<u>Step 1: Find the number of students who earned honors</u>
43 + 17 = 60
<u>Step 2: Find the total number of students</u>
381 + 108 = 489
<u>Step 3: Find the percentage of students who earned honors</u>
Students who earned honors/Total students x 100
60/489 x 100
12.27%
<u>Step 4: Find the correct answer</u>
Just under 11% of Gillway students earned honors.
<em>This is incorrect since the percentage is more than 11%.</em>
Just over 11% of Gillway students earned honors.
<em>This is incorrect as just over 11% would mean somewhere between 11 and 12% whereas the actual percentage is just over 12%.</em>
More than 10% of Gillway students earned honors.
<u><em>This is correct as compared to all other statements since 12.27% is more than 10%.</em></u>
Almost 11% of Gillway students earned honors.
<em>This is incorrect since almost 11% means less than 11% whereas the actual percentage is more than 11%.</em>
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