Find m Give explanation please

Find MGive Explanation Please

Answers

Answer 1

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°


Related Questions

Pls help me figure this out :D

Answers

Answer:

Well in this case the solution would be x = 19/9, I hope this helps! :)

Solve the simultaneous equation
2x-5y=9
3x+4y=2

Answers

Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]

Cancel the common factor of 2.

Divide x by 1.

[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]

[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]

Cancel the common factor of 3.

Divide x by 1.

[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]

[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]

Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

For every 10 tickets to a horror movie that a popular movie theater sells, they sell 9 tickets to a comedy movie. If they sold 5 more horror movie tickets in one night, how many tickets to both movies did they sell altogether?

Answers

They sold 14 tickets all together

May I please receive help?

Answers

Answer:

1 and 2 are parallel. 1 and 3 are perpendicular. 2 and 3 are perpendicular.

Answer: I'm gonna try my best. 1). neither 2). Parallel 3).perpendicular

Step-by-step explanation:

A family of 2 adults and 3 children goes to a play . admission costs $8per adults and $5 per child. what expression would show the total admission cost for the family

Answers

Answer:

8 + 8 + 16 5 * 3 is 15 16 + 15 is 31 that is the answer to the question



You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you

want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents

the pre-tax price of a pair of pants that you can afford if you buy the drink? *


X + 0.04x + 1.50 > 60

X + 0.04x + 1.50 2 60

X + 0.04x + 1.50 60

X + 0.04x + 1.50 60

Answers

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

find the next two terms of the sequence 1.1 , 2.2 , 3.3, 4.4, ….. A) 4.5, 5.5 B ) 5.6 C) 5.6, 6.7 D) 5.5, 6.6

Answers

Answer:

D)

Step-by-step explanation:

Please Help, This is confusing. What is the equation of the line that passes through the point (2,-6) and has a slope of -1?

Answers

Answer:

ok ok it is y+6=-1(x-2)

Step-by-step explanation:

brainliest?

Answer:

Firstly, you can use the slope and the first point to find a second point:

2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.

Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):

y - 11 = 5(x - 3)

Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.

Hope this helps!

Jasper and Muthu cycled from Town P to Town Q. Jasper cycled at a speed of 36 km/h

and reached Town Q in 5 h. Muthu's cycling speed was 40 km/h.

(a) What was the distance between Town P and Town Q?

(b) How many minutes did Muthu take to cycle from Town P to Town Q?

Answers

Answer:

a,khoảng cách từ thị trấn P đến thị trấn Q là

Step-by-step explanat  io  n:

36*5=180(km)

b,Muthu đi xe đạp từ thị trấn P đến thị trấn Q hết số phút là:

180/40=4,5(h)=270(phút)

Helpp! who ever gets it right gets brainliest!
1. K+9, When k = 5
Answer:
2. 4x - 3, when x = 2
Answer:
3. t/5 + t, when t = 15
Answer:
4. 5x2 + 3x, when x = 2
Answer:
5. 6y - 5, when y+7
Answer:
6. 4x2 + 3x, when x = 6
Answer:
7. 56/x + 3y, when x = 4 and y = 3
Answer:
8. 4d2 - 3d, when 4 = -2
Answer:
9. + 3p - 5t + 3, when p= 2 and t = 1
Answer:
10. 3(w-4) 2, when w + -5
Answer:

Answers

Answer:

1. 14

2. 5

3. 18

4. 16

5. 37

6. 26

7. 23

8. -10

9. 4

10. -54

Some questions are wrong so i answered what i understood. And giving me brainest will be helpful.

the difference between 4x and 2x is 70. Find the 2x​

Answers

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.

The actual U.S. population data (in millions) was:

Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?

Question 5 options:

Linear model


Exponential model


Neither

Answers

Answer:

The linear model means that there is a uniform increase and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 -1910 = 80  years or   158 80 = 1.975  million per year and in  x  years it will become   92 + 1.975 x  million people. This can be graphed using the linear function  1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say  p %  every year and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 − 1910 = 80  years or  

p %  given by  92 ( 1 + p ) 80 = 250  which gives us  ( 1 +p ) 80 = 250 92  which simplifies to  p = ( 250 92 ) 0.0125 − 1 = 0.0125743  or  1.25743 % .  

This can be graphed as an exponential function  92 × 1.0125743 ( x − 1910 ) , which gives population in a year  y  and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}

Step-by-step explanation:

Hope this helps

Hi guys.Hope you are all well…I need your help on this question and I will give you 34 points for it.It doesn’t matter who gets the answer first .It matters on that if you try your best.I will still give you points if you try and think what’s the answer for this question.Thanks…

Answers

Answer:

the size of the angel is 51

Step-by-step explanation:

The size of the angle is 52 p

plzzzzzzzzzzzzzzzzzzz helppppp

Answers

Answer:

15

Step-by-step explanation:

I'm not sure, but find out the coordinates of the two points, and then find the slope between them.

Answer is 15 . But this realy not true

One fifth of the difference of a number and 1?

Answers

If you are asking for that to be in expression form, that would be:

1/5(x-1)

Let x be the number.

Answer: The expression that models this situation is given by:

x-1/5

---------------------------

The number is unknown, so it is called x.

The difference between 3 and 2 is 3 - 2 = 1, between 10 and 5 is 10 - 5 = 5, and so on. Thus, the difference between a number and 1 is x - 1.

One fifth of a number is the number divided by 5. Thus, in this context, the expression that represents one fifth of the difference of a number and 1 is given by:

x-1/5

There’s another problem that has the same question at this link:

https://brainly.com/question/20742606

Consider U = { 5,10, 15, 20, 25, 30, 35, 40} , A = { 20, 30, 40 } . Find A’

Answers

Answer:

A {5, 10, 15, 20}

Step-by-step explanation:

Solve for the value of x that makes likes r and s parallel.

Answers

x=r*s in order to make it parallel u must add r and s

F(-5)=7+|-5|=7+5=12

HOW DO I SOLVE THIS?? HELPASAP

Answers

If it’s a matrix it says the answer is -5
F
=
12
=
12
=
12

can someone please help me

Answers

Answer:

x = 1 and it's undefined yaaaaaaaaaaa

can someone help me?​

Answers

Step-by-step explanation:

a)

a whole circle represents always 360 degrees.

we see the angle J is 72 degrees. the angle K is 90 degrees.

that leaves us for M and L together :

360 - 72 - 90 = 198 degrees.

we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M

on other words : L = 2M

and when we now say

198 = L + M

this means

198 = 2M + M = 3M

M = 66 degrees

and L is then 2M = 2×66 = 132 degrees

b)

again, the whole circle is 360 degrees.

J covers 72 of these 360 degrees.

that is 72/360 of all voting people.

72/360 = 1/5

the total of all voting people was 15840.

so, 1/5 of 15840 is

15840/5 = 3168

that means 3168 people voted for J.

Calculate the surface area of the following objects.​

Answers

Answer: 15150 [tex]cm^{2}[/tex]

Step-by-step explanation:

2(83 × 45) + 2(30 × 45) + 2(30 × 83)

2(3735) + 2(1350) + 2(2490)

7470 + 2700 + 4980

= 15150

please give me a brainliest answer


From the graph, write the linear equation in slope-intercept form

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

slope intercept form -> y=mx+b

you can find your slope, m, by doing rise over run ( up 3, left one -> -3/1 )

you can find your y-intercept, b, by just looking at the y axis ( 0,1 -> 1 )

from there you just plug in the values

y = m ( slope ) x + b ( y-intercept )

y = -3x + 1

*HELP
What is the aspect ratio of a sheet of paper with the following dimensions:

20-inches x 8-inches

Round your answer to the nearest tenth.

Answers

Just multiply 20x8 and the answer will be 160 and just round it to the nearest tenth and the. It’ll be 200

Parallel to the graph of y = 7x - 6 with y-intercept (0,3)

Answers

Answer:

The graph of the lines is given in the picture below:

Which of these is NOT discrete data:
A. toppings on a pizza
B. boys in a family
C. temperature outside
D. planks in a deck

Answers

Answer:

C. temperature outside

Step-by-step explanation:

Discrete data is information that can only take certain values. ... This type of data is often represented using tally charts, bar charts or pie charts. Continuous data is data that can take any value. Height, weight, *TEMPERATURE* and length are all examples of CONTINUOUS data. = not discrete data

I believe, hope it is correct

What is an algebraic expression for this word phrase?

5 more than the product of 7 and n


5 + 7n

5(7+n)

7(5+n)

5 + 7 + n

Answers

The first choice, 5+7n.

A pack of $2.99 crayons is on sale 50% off what is the discount?

Answers

Answer:

$1.49

Step-by-step explanation:

Take your value: $.99 and since it is 50% off, divide it by 2.

You get $1.49.

what is the product of 1/2 × 2/3 × 3/4 × 4/5​

Answers

Answer:

5/6

Step-by-step explanation:

brainly pls

Answer:

5/6

Step-by-step explanation:

make me brainliest please

Jaoquin buys 3 dozen lightbulbs. After changing the lightbulbs in his house, he has 15 lightbulbs left. How many lightbulbs did he use?

Answers

Answer:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

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