Answer:
2.9106
Step-by-step explanation:
According to the information of the problem
Year 75 76 77 78 79 80 81 82 83 84 85 86 87
Lean 642 644 656 667 673 688 696 698 713 717 725 742 757
If you use a linear regressor calculator you find that approximately
so you just find and then the predicted value would be 106mm
therefore the predicted value for the lean in 1918 was 2.9106
Answer:
<em>m<2 = 125°, m<8 = 55° and m<14 = 100°</em>
Step-by-step explanation:
The question is incomplete.
<em>Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100</em>
Given
m<9 = 80°
m<5 = 55°
From the diagram, m<5+m<6 = 180°
Substitute m<5 = 55° into the formula, to get m<6
55+m<6 = 180
m<6 = 180-55
m<6 = 125°
From the diagram m<6 = m<2 = 125° (corresponding angles)
<em>Also on line e</em>, m<9 = m<12 = 80° (vertically opposite angles)
On line f, m<14+m<16 = 180° and m<12 = m<16 = 80
m<14+80° = 180°
m<14 = 180-80
m<14 = 100°
<em>Also on line f</em>, m<5 = m<8 (vertically opposite angles)
Since m<5 = 55°, m<8 = 55°
Also on line e, m<10 + m<12 = 180
Since m<2 = m<10 = 125° (corresponding angle)
To get m<12,
125+m<12 = 180
m<12 = 180-125
m<12 = 55°
Also m<10 = m<14 = 125° (corresponding angle)
On line e, m<10 = m<11 = 125° (vertically opposite angle)
Also on line e, m<3 = m<11 (corresponding angle)
This shows that m<10 = m<11 = m<3 = 125°
<em>From the above calculation the angle measure that are correct are:</em>
<em> m<2 = 125°, m<8 = 55° and m<14 = 100°</em>
