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lovemichelle638
21.01.2021 •
Mathematics
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Ответ:
x = 50, y = 61
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
Sum the interior angles and equate to 540
98 + 98+ 125 +108 + 2x + 11 = 540
2x + 440 = 540 ( subtract 440 from both sides )
2x = 100 ( divide both sides by 2 )
x = 50
Then
2x + 11 = 2(50) + 11 = 100 + 11 = 111
2x + 11 and y + 8 are adjacent angles and supplementary, sum to 180°, then
y + 8 + 111 = 180
y + 119 = 180 ( subtract 119 from both sides )
y = 61
Then x = 50 , y = 61
Ответ:
y=61 x=50
the sum of Pentagon's angles is 540°
108°+125°+98°+98°+(2x+11)°=540°
429°+(2x+11)°=540°
440°+2x=540°
2x=540°- 440°
2x=100°
x=100/2
x=50
(2x+11)°=111
(2x+11)°+(y+8)°=180° (by linear angle)
111°+(y+8)°=180°
119°+y=180°
y=180°- 119°
y=61°
(y+8)°=(61+8)°=69°
Ответ:
A. In an additive numerical pattern, the relationship between x and y values is y + x, but in a multiplicative pattern, the relationship is y × x.
Step-by-step explanation: