1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
3 years ago
8

Find m Give explanation please

Mathematics
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°

You might be interested in
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:

brainly.com/question/3286526

#SPJ4

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:

5 0
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
Other questions:
  • The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.09 and a standard deviatio
    12·1 answer
  • Select the proper inverse operation to check the answer to 25-13=12
    9·1 answer
  • A friend provides 100 pieces of supporting evidence for a mathematical statement. What is the minimum number of counterexamples
    12·1 answer
  • (PLEASE ANSWER + BRAINLIEST ANSWER!!)
    15·2 answers
  • 2. How far will a bird have traveled in 13 seconds if it maintained a speed of 31 m/s?
    9·2 answers
  • The number of tails in 3 tosses of a coin
    15·1 answer
  • Kyle created this graph of a function using his graphing calculator. What is the equation of Kyle’s graph?
    12·1 answer
  • Please answer whats on the screenshot for brainliest
    13·1 answer
  • Please assist, I'm really bad with word problems
    12·1 answer
  • Label based on TRIANGLE INEQUALITY.<br> 12<br> X Х<br> 8
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!