Answer:
1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C
Step-by-step explanation:
1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'
2. 2 and 3 are vertically opposite angles, and these angles are equal to each other
3. 3 and 6 are alternate angles. These angles form a 'Z' shape
4. Similar to q2, 1 and 4 are vertically opposite angles
5. Yes they are similar because there are two angles which equal
6. The angles of the big triangle will correlate to the small triangle, therefore x is 40
7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180
8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180
Hope this helped you!!
Answer: The word "ensures" implies that it is certain.
In the case of the study, they simply found that the average salary is greater for college graduates. This doesn't mean that in every case the college graduate makes more money.
The problem is the word "ensures". Our study doesn't show certainty only a general pattern.
<span>Evan rounded 4.8 down to 4. His estimate of 32 is too low.
I hope this helps, Good luck :)</span>
Answer:
10.76 miles
Step-by-step explanation:
<em>The following figure can be drawn from the information given.</em>
<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>
<em>Tan formula will be applied</em>
Tan (anlge) = opposite/adjacent
Opposite = 12.6
Angle = 49.5°
Adjacent = x
Tan (49.5°) = 12.6/x
x = 10.76 miles
Therefore, the fire is 10.76 miles away from the tower Pikes Peak.
!!