Kling1982
09.07.2019 •
Mathematics
The measures of an angle and its supplement differ by 40°. what are the measures of the angles? hint: an angle and its supplement have degree measures whose sum is 180°. a. y + (y − 40) = 180; 70°, 30° b. 2y + (y + 40) = 180; 40°, 140° c. y + (y − 40) = 180; 70°, 110° d. y + (y − 40) = 180; 60°, 120
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Ответ:
Assume y > x
Let the two angles be x and y
then, x + y = 180° (i)
It is given the difference between angles is 40 °
So, y-x = 40
x= y-40
now equation (i) becomes
y-40+y = 180°
2y - 40 = 180°
2y = 220°
y = 110°
As x = y - 40
So x = 110-40
x = 70°
Hence the two angles are 110° and 70°
So the correct answer is option C
Ответ:
D. 14448
Step-by-step explanation:
S = Base area + lateral surface area
=2*(1/2*(56*42)) + (56+42+70)*72
= 2352 + 12096
= 14448