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°
Will give brainliest to the correct answer
Write each function in slope-intercept form
:9.4y=−8x−10
10. −5x+ 2y=−10
Step-by-step explanation:
9) y= -2x - (5/2)
10) y = -5 + (5/2)
guys pls help me!!!!!
Answer:
12 degrees
Step-by-step explanation:
it would be about 30 or 210
g(x) = 3x-1
f(x) = x + 5.
find g (f (4)
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)
Zoom in to see, NEED HELP ASAP please don’t just comment. Given that ABC EDF use the image below.
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
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
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
Dont leave a link hxhdbf
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
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
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
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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.
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.
Evaluate the expressions 2(8-4)
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
What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?
Step-by-step explanation:
..............
=> 3x + 4y = 12
Additive inverse of -2/5
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]
!
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.
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
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?
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
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.
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
-
3
How many
foot pieces of
8
wood can you cut from a
board that is 1 7/8 feet long?
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
Match the reasons with the statements given.
Given:
Triangle ABR
Prove:
<1 = <2
(< means angle)
Pls help me
Answer:
Question about the triangle, what type of triangle is it?
Step-by-step explanation:
If someone answers this you getting 25 points and brainliest :D
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.
HELP ME PLEASE PLEASE
Answer:6=C 7=C
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
a) 2.083
b) 4.713
I hope this helps. :) ( I also multiplied them to check)
Answer: A
Step-by-step explanation:
find the distance from the origin to
the point (7,4).
Answer:
8912
Step-by-step explanation:
don't use awnser plz
Help, show work aswell please
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! :)
What is the 40th term of the arithmetic sequence?
21, 18, 15, 12, 9,...
−96
6
138
−99
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
Answer:
I'm not sure I understand but if you want more math to do look up Quizlet and do some of those tests
7x+3y=8
3x-4y=14
solve by elimination method
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}
Determine whether there a function or not a function
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
B.
B.
6.4 cm
114 cm
15 cm
1.5 cm
8 cm
-
Find volume
Answer:
143.4
Step-by-step explanation:
(x + 1) divided by 6y
pls show working out pls thx.
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
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
(1/3)^2+3^2=
please I need help
Answer:
82/9
Step-by-step explanation:
Picture below
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.
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.