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yeeyee69
24.02.2021 •
Mathematics
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Ответ:
x = 11
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
Angle ABC is an exterior angle of the triangle.
Angles D and C are its remote interior angles.
m<ABC = m<D + m<C
12x - 2 = 57 + 7x - 4
Combine like terms on the right side.
12x - 2 = 7x + 53
Subtract 7x from both sides.
5x - 2 = 53
Add 2 to both sides.
5x = 55
Divide both sides by 5.
x = 11
x = 11
Ответ:
According to exterior angle property, one of the exterior angles of a triangle is equal to the sum of the opposite 2 interior angles.
Thus,
12x-2= 57+7x-4
= 12x = 57-4+7x
= 12x = 53+7x
= 53= 7x-12x
= 53=-5x
= 53÷-5=x
= x= 10.6
Thus x= 10.6
Ответ:
D
Step-by-step explanation:
Ratio of oranges to tangerines : 5/3
Oranges in box : 20
Tangerines in box : x
Oranges/Tangerine ratio = Oranges/Tangerine in box
5/3 = 20/X