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Alexeev081 [22]

3 years ago

8

Find m Give explanation please

1 answer:

Crazy boy [7]3 years ago

5 0

Answer:

m < FGN = 88°

Step-by-step explanation:

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

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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Which measure is of an angle that is coterminal with a 425° angle? 425° – (1,000n)°, for any integer n 425° – (840n)°, for any i

Natalka [10]

The angle that is coterminal to 425° is the last one:

B = 425° + n*1,440°

<h3>Which measure is of an angle that is coterminal with a 425° angle?</h3>

By definition, for any angle A, we can say that an angle B is coterminal to A if:

B = A + n*360°

where n can be any integer.

So, from the given options, we need to see which one is a multiple of 360°.

Of the given options, the only that meets this condition is the last one:

B = 425° + n*1,440°

Where:

1,440°/360° = 4

Then we conclude that:

425° + n*1,440° is coterminal to 425°.

If you want to learn more about coterminal angles:

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3 0

2 years ago

Read 2 more answers

Trevor and marissa together have 26 t-shirts to sell. If marissa has 6 fewer tshirts that trevor, find hiw many tshirts trevor h

Eva8 [605]

Answer:

Number of t-shirts Trevor have are 16

If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

Step-by-step explanation:

Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.

Since, they both have total of 26 t-shirts. We get,

$x+y=26$

Moreover, Marissa has 6 t-shirts less than that of Trevor.

So, we have,

$y=x-6$

On solving the system of equations, we get,

$x+y=26$ implies $x+x-6=26$ implies $2x=26+6$ i.e. 2x= 32 i.e. x= 16.

So, $y=x-6$ implies $y=16-6$ i.e y= 10.

Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.

That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

8 0

3 years ago

Anyone know the answer to this geometry question?

xxMikexx [17]

Answer:

The answer would be $45

hope this helps:)

8 0

3 years ago

Help please with the process of solving

jonny [76]

Answer:

Slope (m) =ΔY /ΔX =-3/ 1 =-3

n slope = -3

From equation [<u>-2</u>x-8]

m slope = -2

so B) m>n

Step-by-step explanation:

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3 years ago

Cuanto es la raiz cuadrada de 123

krek1111 [17]

Answer:

11.0905365064

11.1 (rounded)

Step-by-step explanation:

$\sqrt{123} =11.090$

5 0

3 years ago