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2 years ago

Find m Give explanation please

Mathematics

1 answer:

Crazy boy [7]2 years ago

5 0

Answer:

m < FGN = 88°

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles (also known as remote interior angles).

Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:

The following equality statement can be established according to the exterior angle theorem:

m < E + m < F = m <FGN

38 + 6x - 10 = 7x + 18

Combine like terms:

28 + 6x = 7x + 18

Subtract 6x from both sides:

28 + 6x - 6x = 7x - 6x + 18

28 = x + 18

Subtract 18 from both sides:

28 - 18 = x + 18 - 18

10 = x

Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.

m < E + m < F = m <FGN

38° + (6x - 10)° = (7x + 18)°

38 + 6(10) - 10 = 7(10) + 18

38 + 60 - 10 = 70 + 18

88 = 88 (True statement).

Therefore, m < FGN = 88°

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Vsevolod [243]

Answer:

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Step-by-step explanation:

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2 years ago

Y=2x+10 y=x+1 solve using substitution

Anvisha [2.4K]

Answer:

x = -9

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Step-by-step explanation:

here's the solution :-

=》y = 2x + 10

=》y = x + 1

plunging the value of y from equation 1 into equation 2

=》2x + 10 = x + 1

=》2x - x = 1 - 10

=》x = -9

value of x = -9

now, plugging the value of x in equation 2, we get :-

=》y = x + 1

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1 year ago