Answer:
Width = 14m
Step-by-step explanation:
width = w
length = w - 6
area: w(w-6) = 112
w^2 - 6w = 112
14 x 14 = 196
6 x 14 = 84
196 - 84 = 112
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
1) 180° - 146° = 34
9х - 2 = 34
9х = 34 + 2
9х = 36
х = 36 : 9
х = 4
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2) (9х - 2) + (6у + 44) = 180°
(9 * 4 - 2) + (6у + 44) = 180
(36 - 2) + (6у + 44) = 180
34 + 6у + 44 = 180
6у = 180 - 34 - 44
6у = 102
у = 102 : 6
у = 17
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Answer:
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