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

7x+3y=8
3x-4y=14
solve by elimination method

Answers

Answer:

{x,y} = {2,-2}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    7x + 3y = 8

  [2]    3x - 4y = 14

Graphic Representation of the Equations :

   3y + 7x = 8        -4y + 3x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    3x = 4y + 14

 [2]    x = 4y/3 + 14/3

// Plug this in for variable  x  in equation [1]

  [1]    7•(4y/3+14/3) + 3y = 8

  [1]    37y/3 = -74/3

  [1]    37y = -74

// Solve equation [1] for the variable  y  

  [1]    37y = - 74  

  [1]    y = - 2  

// By now we know this much :

   x = 4y/3+14/3

   y = -2

// Use the  y  value to solve for  x  

  x = (4/3)(-2)+14/3 = 2

Solution :

{x,y} = {2,-2}

thats all. hope u understood.

-
3
How many
foot pieces of
8
wood can you cut from a
board that is 1 7/8 feet long?

Answers

Step-by-step explanation:

17×8=136

136×8=1088

sorry if it's wrong I actually have a flu and my brain ain't working sorry but please mark me the brainiest

Answer:

1 full piece

Step-by-step explanation:

there are 12 inches in a foot so there are 12/1 x 15/8 inches in 1 7/8 feet, which is:

22 1/2 inches

22.5 ÷ 12 = 1.875 pieces or 1 full piece

(1/3)^2+3^2=
please I need help

Answers

Answer:

82/9

Step-by-step explanation:

Picture below

(x + 1) divided by 6y

pls show working out pls thx.

Answers

Answer:Natural logarithm (redirect from LN(1+X))Natural logarithm (redirect from LN(1+X))including: ln ⁡ ( 1 + x ) = x 1 1 − x 2 2 + x 3 3 − x 4 4 + x 5 5 − ⋯ = x 1 − 0 x + 1 2 x 2 − 1 x + 2 2 x 3 − 2 x + 3 2 x 4 − 3 x + 4 2 x 5 − 4 x + ⋱ {\displaystyle

Natural logarithm (redirect from LN(1+X))including: ln ⁡ ( 1 + x ) = x 1 1 − x 2 2 + x 3 3 − x 4 4 + x 5 5 − ⋯ = x 1 − 0 x + 1 2 x 2 − 1 x + 2 2 x 3 − 2 x + 3 2 x 4 − 3 x + 4 2 x 5 − 4 x + ⋱ {\displaystyle32 KB (5,254 words) - 16:48, 18 October 2021

If someone answers this you getting 25 points and brainliest :D​

Answers

the answer Is 0.24

Step-by-step explanation:

2.1 times 4.4 is

9.24

3.6 divided by 0.4 is

9

9.24 - 9

= 0.24

Remeber guys, we need to use pemdos. In this case we need to do 1. Multiplication

2. Division

3. Subtraction

We cannot do subtraction or division first. We need to go by order.

What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?

Answers

Step-by-step explanation:

..............

=> 3x + 4y = 12

Will give brainliest to the correct answer
Write each function in slope-intercept form
:9.4y=−8x−10
10. −5x+ 2y=−10

Answers

Step-by-step explanation:

9) y= -2x - (5/2)

10) y = -5 + (5/2)

Evaluate the expressions 2(8-4)

Answers

Answer:

8

Step-by-step explanation:

2(8-4)

PEMDAS says parentheses first

2 * (4)

Then multiply

8

Answer:

8

Step-by-step explanation:

2(8-4)

2(4)

8

HELP ASAP SHOW YOUR WORK AND EXPLAIN HOW YOU GOT YOUR ANSWER-NO LINKS OR JOKING AROUND

4. The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the equation. Include the phrases, "Isolate the variable by _____," "Simplify," and "Isolate the variable term by _____" in your answers.

Answers

Answer:

x = 7

Step-by-step explanation:

Rearrange the equation to make x the subject.

Original:

7x + 3 = 52

subtract 3 from both sides

7x = 52 -3

7x = 49

Divide both sides by 7

x = 49/7

x = 7

Zoom in to see, NEED HELP ASAP please don’t just comment. Given that ABC EDF use the image below.

Answers

Answer:

Your missing stuff

Step-by-step explanation:

You are a missing way too many things these questions can not be answered but I'm gonna guess and say df is 17

Determine whether there a function or not a function

Answers

Answer:

21 is a function but 20 is not

Answer:

20 no

21 yes

if you draw a line parallel with y axes

if it cut graph in two points or more than it's not function

Help, show work aswell please​

Answers

Answer:

Hey I got you!!

Step-by-step explanation:

Main points made:

* 3/4 teaspoon for every 2 cups of milk

* Sally wants to know how many teaspoons are required for 3 cups of milk

In this situation I divided 3/4 by 2, which got me 0.375. Then I converted 3/4 to a decimal, which is 0.75. Next, I added 0.375 and 0.75 which equals 1.125. From there I converted 1.125 to a fraction.

My final answer was 9/8 or 1 1/8. Hope this helps! :)

A company orders 28 box lunches from a deli for 204 $.40 if each box lunch cost the same amount what is the unit cost of each box lunch

Answers

Answer: $7.3
The total price is 204.40 for 28 boxes. So we need to divide the total price of how many were bought.

$204.40 / 28 = $7.8 for each box

A school group goes to a basketball game for a group rate of $120. The stadium charges $7 extra for snacks per student. If the school group spent a total of $337, how many students attended the game?

Answers

Answer:

31 students

Step-by-step explanation:

The constant in the equation is $120 because it is the price the group paid to see the game

The variable is $7 because it depends on how many kids decide to eat snacks (s)

$337 is the total

120 + 7s = 337

Solve the equation:

7s=217

s=31

find the distance from the origin to
the point (7,4).

Answers

Answer:

8912

Step-by-step explanation:

don't use awnser plz

guys pls help me!!!!!

Answers

Answer:

12 degrees

Step-by-step explanation:

it would be about 30 or 210

Nick has 4 times as many partners as Gabriel, Leo has half as many partners as Nick.
Altogether, they have 28 partners. Explain how many partners Gabriel has.

Answers

Gabriel has 4 partners.

When you take the 4 and multiply it by 4, you get 16 where you'd take half of the 16 and add it to it. So you'd have 16 + 8 where it equals 24 and then add the original 4 and you get 28.

Gabriel had 4 partners.

Above explaination is awesome!

Dont leave a link hxhdbf

Answers

Answer:

27m^6 n^12

Step-by-step explanation:

Answer:

27m^6n^12

Step-by-step explanation:

3^3 = 27

m^2^3 = m^6

n^4^3 = n^12

Hence, it is

27m^6n^12 (the last option)

Hope this helps and be sure to have a wonderful time at Brainly! :D

What is the 40th term of the arithmetic sequence?

21, 18, 15, 12, 9,...


−96


6


138


−99

Answers

Answer:

We start off with 21 as the first term. So a1 = 21

The common difference is d = -3 because we subtract 3 each time to get from one term to the other (eg: 21 to 18 is minus 3)

The nth term of an arithmetic sequence is found by using this formula

an = a1 + d(n-1)

let's plug in the values we have so far to get

an = 21 + (-3)(n-1)

an = 21 - 3(n-1)

an = 21-3n+3

an = -3n+24

Why do this? Well it's helpful so we can find any term in the formula we want. In this case, we want the 40th term. So just plug in n = 40 from here and you're done

an = -3n+24

a40 = -3*40+24

a40 = -96

pointing you to the answer of choice B) -96

i need help with get more math

Answers

Answer:

I'm not sure I understand but if you want more math to do look up Quizlet and do some of those tests

B.
B.
6.4 cm
114 cm
15 cm
1.5 cm
8 cm

-
Find volume

Answers

Answer:

143.4

Step-by-step explanation:

Linda's recipe makes 20 chocolate candies. She uses: 1 cup cream 3 cups dark chocolate Using Linda's recipe: 2. How much dark chocolate will you need to make 60 candies? Write proportion and solve.​

Answers

Answer:

9 cups

If x represents the number of cups of dark chocolate needed for 60 candies, the proportion can be ...

 cups/candies = 3/20 = x/60

Multiplying by 60 gives ...

 x = 60(3/20) = 9

You need 9 cups of chocolate for 60 candies.

Can somebody help me find the volume?

You have a beaker of 20 mL of water. You place a rock in this beaker and the water rises to 30 mL. What is the volume of the rock?

thx if u can help. I don't fully understand this

Answers

Answer:

Hi, I believe the volume of the rock would be 10 mL.

If the beaker originally had 20 mL of water and then the rock turned it to 30 mL, subtract 20 from 30 and you get 10mL

Hope this helps!!!

The volume of the rock is 10 mL as per the concept of subtraction.

To find the volume of the rock, we can use the principle of displacement. When the rock is placed in the beaker, it displaces a certain volume of water equal to its own volume.

The increase in water level from 20 mL to 30 mL represents the volume of the rock.

The volume of the rock = Final volume of water - Initial volume of water

Volume of the rock = 30 mL - 20 mL = 10 mL

Therefore, the volume of the rock is 10 mL. The rock occupies an additional 10 mL of space in the beaker when submerged in the water.

This principle of displacement is based on the fact that the total volume of water and the rock combined remains the same as the initial volume of water in the beaker. By measuring the difference in water levels before and after adding the rock, we can determine the volume of the rock.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ3

g(x) = 3x-1
f(x) = x + 5.
find g (f (4)

Answers

Answer:

g(x)=3

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

g(x) = 3x-1

f(x)= x+5

g(f(4)

plug 4 into f

f(4)

now apply x+5

f(4)=4+5=9

plug 9 into g

g(9)

now apply 3x-1

g(9)=3(9)-1

3 ×9= 27

27-1=26

hence the answer is 26

(sorry if I'm wrong I just finished this topic myself)

!

Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.

Answers

The graph of the equations was plotted using geogebra graphing and attached.

Let x represent the hours weightlifting and y represent the hours doing cardio exercises.

Since he spend a maximum of 20 hours, hence:

x + y ≤ 20   (1)

Also, he spends at least 8 of those hours weightlifting, hence:

x ≥ 8          (2)

He wants to spend no more than 15 hours doing cardio exercises, this is:

y ≤ 15     (3)

The graph of the equations was plotted using geogebra graphing and attached.

Find out more at: https://brainly.com/question/17178834

Match the reasons with the statements given.


Given:

Triangle ABR



Prove:

<1 = <2


(< means angle)

Pls help me

Answers

Answer:

Question about the triangle, what type of triangle is it?

Step-by-step explanation:

Several students form a circle by standing next to each other. Samantha and Aaron are directly across from each other and are approximately 30 feet apart. If each student takes about about 4 ft of the circle. How many students are in the circle?

pls help​

Answers

Answer:

about 24 people in the circle

Step-by-step explanation:

find circumfrence using pi r squared which is 94 and divide by 4 which is the distance between students

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

a) 2.083

b) 4.713

I hope this helps. :) ( I also multiplied them to check)

Answer:  A

Step-by-step explanation:

Additive inverse of -2/5​

Answers

Hello! The additive inverse of -2/5 is 2/5.

if you add -2/5+2/5, you will get 0, so these two numbers are opposites and additive inverses.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

HELP ME PLEASE PLEASE

Answers

Answer:6=C 7=C

Step-by-step explanation:

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