Please help with this! I was having problems with the answer and I just wanted to know if I was right.
Answers
Answer:
108 degrees
Step-by-step explanation:
By the Exterior Angle Theorem:
(2x + 1) + 63 = 5x -2
2x + 64 = 5x - 2
66 = 3x
22 = x
Now, we can plug the value of x back into the expression that represents the exterior angle to find the measure of the exterior angle:
5(22) - 2
110 - 2
108
The answer is 108 degrees. (I'm sorry your question was answered so late; I hope you got the right answer when you solved it!)
Related Questions
Mr. Chin asked his class to solve for y in the equation 8(3y - 5) = 9(y - 5) -1. Explain how to solve for y. Then solve.
Answers
Answer:
[tex]\Huge \boxed{\boxed{\bf{y = -\frac{2}{5} }}}[/tex]
Step-by-step explanation:
To solve for [tex]\tt{y}[/tex] in the equation [tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex], we'll need to simplify and isolate the variable.
Let's start by distributing the 8 on the left side and the 9 on the right side of the equation:
[tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex]Next, we'll combine like terms on both sides of the equation:
[tex]\tt{24y - 40 = 9y - 46}[/tex]To isolate the variable, we'll move all the terms involving y to one side of the equation. Let's subtract 9y from both sides:
[tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex]Simplifying further, we have:
[tex]\tt{15y - 40 = -46}[/tex]To isolate "y," let's add 40 to both sides:
[tex]\tt{15y - 40 + 40 = -46 + 40}[/tex]Simplifying, we get:
[tex]\tt{15y = -6}[/tex]Finally, we can solve for "y" by dividing both sides of the equation by 15:
[tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex]Simplifying the equation, we have:
[tex]\tt{y = -\frac{2}{5} }[/tex]So, the solution to the equation is y = -2/5.
Learn more about solving equations that have variable on both sides.
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________________________________________________________
Full Steps[tex]\bf{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex][tex]\tt{24y - 40 = 9y - 46}[/tex][tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex][tex]\tt{15y - 40 = -46}[/tex][tex]\tt{15y - 40 + 40 = -46 + 40}[/tex][tex]\tt{15y = -6}[/tex][tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex][tex]\tt{y = -\frac{2}{5} }[/tex]________________________________________________________
Question
Solve the equation.
−8(y+9)=−40
y=?
Answers
Answer:
y+9= -40/-8
y+9= 5
y=5-9
y= -4
Hi there! Please help me asap and explain how you did it... Tysm!♡♡
Answers
Answer:
A = ( -1 , 4 )
B = ( -4 , 3 )
C = ( -2 , 1 )
Explanation:
You basically just flip it along the line like a mirror would
A = ( -1 , 4 )
B = ( -4 , 3 )
C = ( -2, 1 )
Basically, you match the coordinates of the image to the other part and see the new coordinates. It's like seeing something in a mirror, but with a different view.
(Hope it helps!)
Julia decides to sell the baskets she doesn’t have room for. If she bought each of them for $8.50 and sells them for $12, what is percent of markup? What is her overall profit?
Answers
Given:
Cost = $8.50,Selling price = $12.00.Find markup:
$12.00 - $8.50 = $3.50Percent of markup:
3.50/8.50 × 100% = 41.18% (rounded)The number of baskets is not given. If it is x, then total profit is:
3.5x dollarsGiven:
Cost = $8.50,
The selling price = is $12.00.
Find markup:
$12.00 - $8.50 = $3.50
Percent of markup:
3.50/8.50 × 100% = 41.18% (rounded)
The number of baskets is not given. If it is x, then the total profit is:
3.5x dollars
Step-by-step explanation:
At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked liked heathy food. How many students preferred heathy foods.
Answers
Answer: 14 students.
Step-by-step explanation:
Write a situation that matches the diagram, or make a diagram that matches the situation.
Use the picture I posted and draw/write (clearly) the correct answer.
Thank you! This needs to be done by today and quick.
Answers
so uh...which picture?
What does pemdas stand four ??
Answers
Answer:
Parentesis
Exponent
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
Answer: PEMDAS stands for parenthesis, exponents, multiplication, division, addition, subtraction
True or false, the fractions ¾ and 6/8 are equivalent.
A. True
B. False
Answers
Answer: A. True
Step-by-step explanation:
i need the answer to this please ;) and quick
Answers
Answer: Yes
Step-by-step explanation:
10: 10, 20, 30, 40, 50 , 60, 70, 80 , 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Both have 120 as a common multiple.
and 120 is the commom multiple
Heloo need help on mathe ples
Answers
Answer:
add all the sides
Step-by-step explanation:
the first shape's area is 3.8 x 4 = 15.2
the second is 13.05 x 3.6 = 46.98
since originally it's one shape, add them together. the area is 62.18 ft^2.
what is the answer for 5/8x + 4 = 3/8x + 12
Answers
Answer:
x=32
Step-by-step explanation:
Answer:
x = 32
Step-by-step explanation:
another math question because i do not understand math at all
Answers
Answer:
8/15
Step-by-step explanation:
There is absolute value, so the a and b become positives.
But there is a negative on the outside, meaning - (a+b)
So:
-1 2/3 - 1
______
2 - (-3)
Then..
-2 2/3
______
5
You can convert each number to a complete fraction and use keep change flip.
2 2/3 = 8/3 and 5 = 15/3
8/3 divided by 15/3 is..
8 x 3
_. _
3. 15
You can cancel out the 3's and then multiple 8/1 x 1/15
That equals 8/15, since you can't simplify it anymore.
Graph this function: y=|x–3|+3
Answers
Answer:
Here is the graphed visual of the equation.
Y : 5,4,3,4,5
Which expression can be used to find the surface area of the triangular prism? Will give Brainliest!
Answers
Answer:
C
Step-by-step explanation:
It is usually A= 1/2 B*H which 1/2*3*4 in parentheses would fit this, but im not 100% sure!
• We have two congruent right triangles with bases=3 and heights=4
• 3 Rectangles, which all share the same width: width=2
Since we are dealing with two-dimensional figures, we must use the area formulas for them.
Area of triangle:
A=1/2•B•H
Area of a rectangle:
A=L•W
Because we have two congruent triangles, their areas must be congruent, too. So, we have double the area of one triangle. So, we can modify the formula:
A=2(1/2•B•H)
Because all three rectangles share the same width but have different lengths, we can add their lengths together to form one whole rectangle.
4+3+5=12
So, all three rectangles’ sides have been combined (added) to form one whole rectangle with the dimensions:
12 by 2.
Now, because the surface area is the total area used to form the faces of a 3-D shape, we must add all the areas of the figures together.
Area of a triangle (modified)
A=2(1/2•3•4)
Area of rectangle:
A=12•2
Simplify:
Triangle:
A=2(6)
A=12
Rectangle:
A=12•2
A=24
Now, let’s add the areas together:
12+24=36
So, the surface area is 36ft^2.
Now, to answer the question, option 3.) is correct
A: 2(1/2•3•4)+4•2+3•2+5•2
Which net represents the three-dimensional figure shown on the right? Will give brainliest!
Answers
Answer:
Looks like the top left
Answer:
It's the 1st one from the left!
Step-by-step explanation:
BRAINLIEST Which net represents the three-dimensional figure shown on the right?
Answers
The formula for c for the current figure is 2(base * height) + s1 + s2 + s3(length)
But the formula I use is a*b + 3 * b * height, where a and B are sides
The net represents the three-dimensional figure is
2(1/2 x 3 x 4) + 4 x 2 + 3 x 2 + 5 x 2
The correct option is C.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We know that the formula for calculating the Area of prism is
= 2 ( base x height) + (s1 + s2 + s3) length
But according to the given figure we have to
= length x width + 3 x width x height
= ab + 3bh
Learn more about Expression here:
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If the product of 6 integers is negative, at most how many of the integers can be negative?
Answers
Answer: 5 negatives
Step-by-step explanation:
The amount of money you spend on x CDs and y DVDs is given by the equation 14x+18y=126. Find the intercepts.
Need this soon please
Answers
Answer:
The y intercept is (0,7) The x intercept is (9,0)
Step-by-step explanation:
You set the x to zero if you want the y intercept and vice versa for the x intercept.
14x+18y=126 y intercept
14(0)+18y=126
0+18y=126
18y=126 divide by 18
y=7
do the same thing for the x intercept except set the y to 0
A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of the chili were sold.
(Unit: expressions & equations)
Answers
150× 60% ÷ 1⅔
150×60/100 ÷ 5/3
15 × 6 ×3/5
3 × 18
54
54 servings of the chili were sold.
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,
⇒ 60% of 150
⇒ 0.60 x 150
⇒ 90 cups
The serving size of the chili is 1 ²/₃ cups.
Convert the mixed fraction number into a fraction number, then we have
1 ²/₃ cups = 1 + 2/3
1 ²/₃ cups = 5/3 cups
Then the number of servings of the chili sold will be calculated as,
⇒ 90 / (5/3)
⇒ 90 x (3 / 5)
⇒ 18 x 3
⇒ 54
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
More about the percentage link is given below.
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Graphing Linear Equations in Standard Form
Answers
Answer:
y=-3/4x-3
Step-by-step explanation:
because you need to make it into graphing forms so you would transfer the 3 over and divide the 3 and the 12 to get y=-3/4x-3
In what ways was Brian struggling for survival in the first two chapters (both physically and emotionally)? Use RACE to respond. Book is HATCHET.
Answers
Answer:he used the hatchet by making a fire
Step-by-step explanation:
what is the answer for 5/11x + 2/3x - 1/6x = -189
Answers
Answer:
x = -198
Step-by-step explanation:
5/11 x + 2/3 x - 1/6 x = -189
66(5/11x + 2/3x - 1/6x) = 66(-189)
30x + 44x - 11x = -12474
63x = -12474
x = -198
Answer:
x = -210
Step-by-step explanation:
[tex]\frac{5}{11x} + \frac{2}{3x} - \frac{1}{6x} = -189[/tex]
[tex]\frac{37}{33x} - \frac{1}{6x} = -189[/tex]
[tex]\frac{21}{22x} = -189[/tex]
0.9x = -189
[tex]x = \frac{-189}{0.9}[/tex]
x = -210
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Sam's Soups is open 6 days per week, 76 hours altogether. Its hours are similar consistently, besides on Saturday and Sunday. On those days, it is open 2 hours longer.
Let 'x' be the number of hours spent on Saturday and Sunday. Then the equation is given as,
x + x + (x - 2) + (x - 2) + (x - 2) + (x - 2) = 76
Simplify the equation, then we have
6x - 8 = 76
6x = 84
x = 14 horus
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
More about the solution of the equation link is given below.
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how many least common multiples of 10 and 12 are there one or infinitely many- 20 points to answer quickly
Answers
Answer:
Step-by-step explanation:
Least Common Multiple of 10 and 12 = 60 Step 1: Find the prime factorization of 10 10 = 2 x 5 Step 2: Find the prime factorization of 12.
I love you guys, I really rely on brainly, which probably isnt a good thing but here we are lol. Heres my question
Answers
Answer: d=36
Step-by-step explanation:
9/2=4.5
36/8=4.5 :)
72=2d
D=36
A toy company's total payment for salaries for the first two months of 2012 is $40,765. Write and solve an equation to find the salaries for the second month if the first month’s salaries are $10,205.
Answers
Answer:
its D
12,455 + x = 23,894
x = 10,560
Step-by-step explanation:
Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:
10,205 + x = 23,894
To solve, we must isolate the variable by subtracting 12,455 from both sides:
10,205 + x = 23,894
-10,205 -10,205
x = 10,560
So, the second month's salary was $10,560
Step-by-step explanation:
Answer: x = $30,560
Step-by-step explanation:
1. Let the second month payment be x
2. The first month + The second month = both of the months
3. So substituting: 10,205 + x = 40,765
4. Subtract 10,205 from both sides: x = 30,560
PLEASE HELP!!!!!!!!!!!!!!!!!
WILL MARK BRAINLIEST
What is 5,890,000 in Scientific Notation?
Answers
Answer:
5.89 x 10^6
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 5,890,000 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Original Number: 5,890,000
New Number: 5.890000
count how many times you moved the decimal and that's your power
in this case it's ^6
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
Answer:
14 hours
Step-by-step explanation:
Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday. Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:
4x + 2(x + 2) = 76
4x + 2x + 4 = 76
6x = 72
x = 12
Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x + 2. Thus, that is 12 + 2 = 14 hours.
Answer:
14 hours
Step-by-step explanation:
x = hours on day other than saturday and sunday
y = hours on Saturday and Sunday.
Sam's soups are only open 6 days a week, and 2 are weekends, so it is only open on 4 weekdays.
4x + 2y = 76
We know the hours on Saturday and Sunday are 2 hours more than the weekday hours.
So,
y = x + 2
Substituting that back into the original equation,
4x + 2(x+2) = 76
4x + 2x + 4 = 76
6x = 72
x = 12
y = 14
So Sam's Soups is open 14 hours on Sunday.
Check that 12g is equivalent to 48%.
Answers
Answer:
See answers in the picture below.
Step-by-step explanation:
Caleb earns $_____ per hour_______ than Hassan.
^
more or less
Answers
Answer:Caleb earns $24 per hour more than Hassan
Step-by-step explanation:
819.40/34=24.08 rounded to 24
Hassan makes 21.5 per hour
Answer:
Caleb earns $2.6 per hour more than Hassan.
Step-by-step explanation:
eg:
Hassan: $21.5 = 1hr
Caleb: $819.40 = 34hr
819.40 ÷ 34 = $24.1 (earned by Caleb per hour)
$24.1 - $21.5 = $2.6 (more than Hassan)