Apply the : congruent (corresponding alternate exterior and alternate interior angles) and supplementary (consecutive interior angles) theorems
step-by-step explanation:
The property to apply here is : congruent (corresponding alternate exterior and alternate interior angles) and supplementary (consecutive interior angles)
1.h = 180°-120°=60°=e=d=a
f=120° = c=b
2.b=180°-105°=75°=c=f=g
a=105°=e=h
3. f=180°-36°=144°=g=c=b
a=36°=d=h
4. a=180°-161°=19°=e=h=d
c=161°=f=g
5. f=180°-145°=35°=g=c=b
a=145°=d=h
6. b=180°-25°=155°=c=f=g
25°=d=e=h
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Angles :brainly.com/question/13209798
Keywords: parallel lines, intersect, transversal, angle
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Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9
∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°
From the box plot, it can be seen that for grade 7 students,
The least value is 72 and the highest value is 91. The lower and the upper quartiles are 78 and 88 respectively while the median is 84.
Thus, interquatile range of <span>the resting pulse rate of grade 7 students is upper quatile - lower quartle = 88 - 78 = 10
</span>Similarly, from the box plot, it can be seen that for grade 8 students,
The
least value is 76 and the highest value is 97. The lower and the upper
quartiles are 85 and 94 respectively while the median is 89.
Thus, interquatile range of the resting pulse rate of grade 8 students is upper quatile - lower quartle = 94 - 85 = 9
The difference of the medians <span>of the resting pulse rate of grade 7 students and grade 8 students is 89 - 84 = 5
Therefore, t</span><span>he difference of the medians is about half of the interquartile range of either data set.</span>