Find the value of x. Then find the missing angle measures of the polygon.
x = ?
5x degrees = ?
2x degrees = ?
Answers
Answer:
x = 22.5
2x = 45
5x = 112.5
Step-by-step explanation:
The sum of all internal angles in a triangle is 180 degrees. This can be expressed as the following:
x + 5x + 2x = 180
Combine the like terms:
8x = 180
Divide both sides by 8 to find the value of x:
x = 180/8
Simplify:
x = 22.5
Multiply by 2 to get 2x:
2x = 22.5 * 2
2x = 45
Multiply by 5 to get 5x:
5x = 22.5 * 5
5x = 112.5
Verify the answer is correct by taking all the obtained values and ensuring they sum to 180:
22.5 + 45 + 112.5 = 180
Related Questions
Ben bought a house for $78,850 and received a rebate of 15% off. He paid 6% in sales tax. How much did he save?
Answers
$525
Step-by-step explanation:
Ben bought the house for $78,850 so 78,850 divided by 0.15 equals 525. So the answer is $525.
7 x 7 - 2 ( 11/8 - 3/8 ) pls help me
Answers
It's 47. I used a calculator.
The figure below shows parallel lines cut by a transversal:
A pair of parallel lines is shown, cut by a transversal.
Which statement is true about ∠7 and ∠8?
Answers
For the given parallel ines cut by a transversal line the correct statement is (4). ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
What types of angles are formed when a transversal cuts paralle lines?The intersections of two parallel lines formed by a transversal form several angles. These are referred to as transversal angles. Here are some examples of transversal angles:
Corresponding anglesAlternate Interior AnglesAlternate Exterior AnglesCo-interior AnglesAngles are said to be supplementary to each other when two adjacent angles are formed at a point on a line so that the sum of their measures is 180°.
∠7 and ∠8 are supplementary in the attached figure since they represent a pair of adjacent angles which constitute a straight line.
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The correct question:
Please Help! The figure below shows parallel lines cut by a transversal:
Which statement is true about ∠7 and ∠8?
1. ∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
2. ∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
3. ∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
4. ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
The area of the walkway and garden is represented by the expression
2x2 + 12x + 16. Write an expression in factored form that represents
the area of the walkway. Then find the area of the walkway if x is
3 meters. (Hint: Subtract the expression that represents the area of the
garden from the expression that represents the area of both before
factoring.)
Answers
The factorized form of the quadratic is 2*(x + 2)*(x + 4), and when x = 3m, the walkway area is 52 square meters.
How to factorize the area equation?
Here we know that the area is given by the expression:
2x^2 + 12x + 16
To factorize this, we need to find the roots of the quadratic equation, these are the solutions of:
2*x^2 + 12x + 16 = 0
The solutions are given by:
x = (-12 ± √(12^2 - 4*2*16))/(2*2)
x = (-12 ± 4)/4
The two solutions are:
x = (-12 + 4)/4 = -2
x = (-12 - 4)/4 = -4
Then the factored form is:
y = 2x^2 + 12x + 16 = 2*(x^2 + 6x + 8) = 2*(x + 2)*(x + 4)
Now we want to get the area if the walkway if x = 3, the total area of the walkway and the garden will be:
y = 2*(3 + 2)*(3 + 4) = 70
And the garden measures x by 2x, then if x = 3, the area of the garden is:
a = x*2x = 3*(2*3) = 18
Then the area of the walkway alone is:
70 - 18 = 52
The area of the walkway is 52 square meters.
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Julian saved between $30 and $52
over the summer. His friend Daniela
saved twice as much. Let n represent
the amount of money Daniela saved.
What is the compound inequality?
Answers
The compound inequality is 60 < n < 104.
Let 'x' denote the amount of money saved by Julian.
Then x is between $30 and $52.
I.e., x>30 and x<52.
This can be written as a single inequality by combining the both.
i.e., 30 < x < 52
His friend Daniela saved twice as much as Julian.
Let 'n' denotes the amount of money Daniela saved.
Then n = 2x
We need to write the compound inequality for the money saved by Daniela.
As Daniela saved twice as much as Julian, it will be between 2 x 30 = $60 and 2 x 52 = $104
So the compound inequality is 60 < n < 104.
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Describe the transformation from the graph off to the graph of g. PLEASE HELP!
Answers
Answer:
translation 3 units up: g(x) = f(x)+3
Step-by-step explanation:
You are given graphs of f(x) and g(x) and want to know the transformation that gives g(x) from f(x).
Transformations of graphsThe sorts of transformations of graphs that we study are translation, scaling (horizontally or vertically), and reflection about an axis.
Here, both graphs have the same shape, but one is in a different place than the other. The applicable transformation is one of translation.
TranslationThe vertex of f(x) is at (0, -1). The vertex of g(x) is at (0, 2). We note the x-value has not changed, but the y-value has had 3 added to it. (-1 +3 = 2)
g(x) = f(x) +3 . . . . . . the function f is translated 3 units upward.
Pls solve a question on my hw (1/5)p=15
Answers
P/5=15
P=15x5
P=75
Desmos how would you explain the difference between volume and surface area?
Answers
Answer:
Volume is when you are finding the space inside of a 3D figure, and surface area is when you are finding the area of the surface(s) of a figure.
Hope this helps :)
Fg=14a+1, Fm=14.5 what is a
Answers
The value of a is 2.
A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment FG, where the length of line segment FG refers to the distance between its endpoints, F and G.
Given that M is the midpoint of FG
FG = 14a + 1 and FM = 14.5
FG = FM + MG
Since M is the midpoint of FG, So FM = MG
FG = FM + FM
FG = 2FM
Substitute the values of FG = 14a + 1 and FM = 14.5,
14a + 1 = 2(14.5)
14a + 1 = 29
14a = 28
a = 28/14
a = 2
Therefore, the value of a is 2.
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Your question was incomplete. Please refer the content below:
Suppose M is the midpoint of FG. Find the missing measure.
FG = 14a + 1. FM = 14.5
Answer A=?
Find the difference: −14 −(−12)
Answers
Answer:
=-2
________________________________________________________
[tex]a-\left(-b\right)=a+b[/tex] <- Apply this rule too -14-(-12)
[tex]-14-\left(-12\right)=-14+12[/tex]
[tex]=-14+12[/tex]
[tex]-14+12=-2[/tex] <- Add the numbers
[tex]=-2[/tex]
________________________________________________________
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if m ∟n, solve for x. (x + 21) (3x + 9) giving brainliest
Answers
Answer:
[tex](x + 21)(3x + 9) \\ x(3x + 9) + 21(3x + 9) \\ 3 {x}^{2} + 9x + 63x + 189 \\ 3 {x}^{2} + 72x + 189[/tex]
Monica wants to open a savings account with a deposit of 3,000 monica will not make
Answers
Account Y would earn Monica about $62.70 more interest than account X.
Given Monica deposits $3000.
Bank offers two different savings accounts.
Account X pays 2.1% simple annual interest and Account Y pays 2.4% compounded annually, both for 5 years.
For account X, we have:
Principal (P) = $3000
time (t) = 5 years
rate of interest (r) = 2.1%
we need to calculate simple interest:
Simple interest = P×t×r/100
= 3000c5×2.1/100
= $315
simple interest for 5 years is $315
For account Y, we have:
Principal (P) = $3000
time (t) = 5 years
rate of interest (r) = 2.4%
we need to calculate Compound interest:
compound interest = P×(1₊rate)^time ₋ P
= 3000(1₊2.4/100)⁵ ₋ 3000
= 3000(1.024)⁵ ₋ 3000
= 3000(1.12589907) ₋ 3000
= 3377.69 ₋ 3000
= $377.69
The compound interest for 5 years is $377.7
compound interest of account Y ₋ simple interest of account X
= 377.7 ₋ 315
= $62.70
hence the right option is that account Y would earn Monica about $62.70 more interest than account X.
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Your question is incomplete.Please find the missing content below.
Monica wants to open a savings account with a deposit of $3000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?
Account X would earn Monica about $62.70 more interest than Account Y.
Account Y would earn Monica about $62.70 more interest than Account X.
Account X would earn Monica about $45.00 more interest than Account Y.
Account Y would earn Monica about $45.00 more interest than Account X.
Which expression are equivalent to 13^6 divide by (13^8)(13^-4)/13^-2
Answers
→ 13⁶ ÷ [ {13⁸ * 13^(-4)} / 13^(-2) ]
Solving Second part first, we get,
→ [ {13⁸ * 13^(-4)} / 13^(-2) ]
using a^b * a^c = a^(b + c) in Numerator , we get,
→ [ 13^(8 - 4) / 13^(-2) ]
→ 13⁴ / 13^(-2)
→ 13⁴ ÷ 13^(-2)
using a^b ÷ a^c = a^(b - c) now , we get,
→ 13^{4 - (-2) }
→ 13^(4 + 2)
→ 13⁶.
Now , Putting this value in question we get,
→ 13⁶ ÷ 13⁶
→ 1 (Ans.)
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+4 . Write the equation in slope-intercept form.
Answers
Answer:
y = 3x + 9
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 4 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation of the parallel line
to find c substitute (1, 12 ) into the partial equation
12 = 3 + c ⇒ c = 12 - 3 = 9
y = 3x + 9 ← equation of parallel line
36. THOUGHT PROVOKING
Draw a different figure that
has the same perimeter as
the triangle shown. Explain
why your figure has the
same perimeter.
x+3
3x
2x + 1
Answers
A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question.
What is the perimeter of a figure?The perimeter of a figure is given by the sum of all the outer sides of the figure.
Hence, for this problem, the perimeter is given by:
P = x + 3 + 2x + 1 + 3
P = 6x + 4.
A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question, as:
3x + 3x + 2 + 2 = 6x + 4.
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4. A rocking horse has a weight limit of 60 pounds.
a. What percentage of the weight limit is 33 pounds?
b. What percentage of the weight limit is 114 pounds?
c. What weight is 95% of the limit?
Show your work
Answers
a. 55% of the maximum weight is 33 pounds.
b. 114 pounds is 190% of the weight limit.
c. 57 pounds is 95% of the maximum.
Answer to Part a:
Let c be the weight limit percentage for 33 pounds.
Then we have (60 x c)/100 = 33 pounds
This implies 3c/5 = 33
This means that 3c = 33 x 5 = 165.
This means that c = 165 / 3 = 55.
Therefore 55% of the weight limit is 33 pounds.
Answer to Part b:
Let d be the weight limit percentage for 114 pounds.
Then we have (60 x d)/100 = 114 pounds
This implies 3d/5 = 114
This means that 3d = 114 x 5 = 570.
This means that d = 570 / 3 = 190.
Therefore 190% of the weight limit is 114 pounds.
Answer to Part c:
95% of the weight limit is
= 95 x 60 /100
= 95 x 3/5
= 19 x 3
= 57
Therefore, 95% of the weight limit is 57 pounds.
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Find A u B. (Use the roster method to write the set.)
A = {1, 0, 1}, B = {0, 1, 7}
Answers
Answer:
{ 0, 1 , 7}
Step-by-step explanation:
A U B= {1,0,1}. {0,1,7}
={0,1,7}
This is really confusing for me pls help!
Answers
Peanuts: your cost c to buy a p pounds of peanuts at $1.50/lb is represented by c = 1.5p
Is it continuous or discrete
Answers
The given function for peanuts is continuous function.
What is defined as the continuous functions?A continuous function, as the name implies, refers to one for whom the graph is continuous without a breaks or jumps.
In other words, if we can create the curve (graph) of a function even without lifting a pencil, we can say that function is continuous.In calculus, a function f(x) is considered to be a continuous function at a point x = a if its curve does not break at that point x = a .For the given expression in the question;
The relation between the cost 'c' and wight 'p' in pounds for the peanuts is given as;
c = 1.5p
As, you can see that the expression is a polynomial having two variables with the highest degree 1.
And, as we know that the every polynomial is a continuous function.
The given function forms a straight line on as for every different real value of p there s single value of c, which varies linearly.
Therefore, the function c = 1.5p is a continuous function forming a straight line.
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Two factory plants are making TV panels. Yesterday, Plant A produced 10,000 panels. Three percent of the panels from Plant A and 10% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 5%
Answers
If the overall percentage of the defective panels from the two plants is 5% then plant B produced 4000 panels in total.
This question can be solved by formulating the problem into the form of a linear equation having two variables. Linear equation in two variables can be represented in the form of ax+by+c=0 where a, b and c are real numbers and x, y are variables or the coefficients, and a, b ≠ 0.
Let the production from plant A be x, and according to the question x=10000.
Also, let the production from plant B be y.
Now, as 3% of products are found defective from plant A and 10% of products are found defective from plant B and overall defective products is 5%.
Thus, 0.03x+0.1y=0.05(x+y)
As x=10000 then
0.03×10000+0.1y=0.05(10000+y)
300+0.1y=500+0.05y
0.05y=200
=>y=4000
Thus, the total number of panels produced by plant B is equal to 4000.
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Jemuel and Lemuel are asked to paint a house.Jemuel can paint the house by himself 16hrs and Lemuel can paint by himself in 12hrs .How long would it take to paint the house if they work together?
Answers
Answer:
9 and 3/5 hours or 9 hours and 36 minutes
Step-by-step explanation:
Rate x times = number of jobs
Jemuel's rate is 1 job/ 16 hours.
Lemuels's rate is 1 job/12 hours.
1/16T + 1/14T = 1 Get a common denominator of 48
3/48T + 2/48 t = 1
5/48T = 1 Multiply both sides by 48/5
(45/5)(5/48)T = 1(48/5)
t = 48/5 = 9 3/5 hours.
es
Angela Simpson is considering the purchase of a home entertainment center. The product attributes she plans to consider and the
weights assigned to each attribute are listed in the table below.
Product Attributes
Portability
Sound projection
Warranty
Angela rated the brands as follows.
Brand A
Brand B
Brand C
0.2
0.5
0.3
Brand A
Brand B
Brand C
Sound
Portability Projection Warranty
7
8
10
5
Product
Evaluation Rating
87100
Using the consumer buying matrix, conduct a quantitative product evaluation rating for each brand. What other factors is Tammy likely
to consider when making her purchase? (Do not round intermediate calculations. Round your answers to 1 decimal place.)
9
7
Answers
Product Evaluation Rating for Brand A = 7.5
Product Evaluation Rating for Brand B = 7.4
Product Evaluation Rating for Brand C = 8.3
A product's acceptability for customers or a specific group is determined through the methodical process of product evaluation.
A visual representation of consumer behavior in terms of purchasing choices is a consumer buyer matrix. It also serves as a marketing tool for strengthening and expanding brands.
Given that :
Product Attributes -
Probability = 0.2
Sound projection = 0.5
Warranty = 0.3
Probability of Brand A = 7
Probability of Brand B = 10
Probability of Brand C = 6
Sound projection of Brand A = 8
Sound projection of Brand B = 6
Sound projection of Brand C = 10
Warranty of Brand A = 7
Warranty of Brand B = 8
Warranty of Brand C = 7
Calculation of Product Evaluation Rating :
Brand A = (7 x 0.2) + (8 x 0.5) + (7 x 0.3) = 1.4 + 4 + 2.1 = 7.5
Brand B = (10 x 0.2) + (6 x 0.5) + (8 x 0.3) = 2 + 3 + 2.4 = 7.4
Brand C = (6 x 0.2) + (10 x 0.5) + (7 x 0.3) = 1.2 + 5 + 2.1 = 8.3
Therefore,
Product Evaluation Rating for Brand A = 7.5
Product Evaluation Rating for Brand B = 7.4
Product Evaluation Rating for Brand C = 8.3
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x
12
20
48
y
9
15
24
The table gives values from a linear relationship.
• Complete the table
• Write an equation that represents the relationship shown in the
table.
Answers
Explanation:
Find the measure of indicated angle or solve variable if necessary
Answers
Value for the 3 straight lines are 180,28 , 152.
What is a straight line, exactly?
Simply put, a straight line is a line devoid of bends. A straight line is one that does not curve and reaches to infinity on both sides.
CBE = 28 + 90 = so the angle is 118 degrees
ABF = you already got the answer written down, 28
CBA = this is not 180 like you wrote, CBA = ABD - CBD
Straight lines = 180, so ABD = 180
You already found out that CBD = 28
so CBA = 180 - 28 so the answer CBA = 152
So, answers for the 3 lines are 180,28 , 152
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What is 48 = 3x - 15
Answers
Answer: x=21
Step-by-step explanation:
a) f(-3)
b) f(3)
c) f(0)
Answers
Answer: a. -5
b. 4
c. -2
Step-by-step explanation:
a. x=-3 ==> x<0
f(-3)=
3(-3)+4=
-9+4=-5
b. x=3 ==> x>=0
f(3)=
2(3)-2=
6-2=4
c. x=0 ==> x>=0
f(0)=
2(0)-2=
0-2=-2
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y ≤ -5
Answers
Plotting the inequalities using online graphing calculator. The graph is attached.
What is the example of inequality?
A disparity in size, quantity, quality, social standing, or another aspect is what is meant by the term "inequality." When you have ten of something and someone else has none, that is an instance of inequality.Given the system of inequalities:
3y > 2x + 12
3y - 2x > 12 (1)
2x + y < -5 (2)
Plotting the inequalities using online graphing calculator. The graph is attached.
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Jeremiah makes a recipe that calls for 112 cups of flour and 34 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?
\
Answers
Answer:
336/34
Step-by-step explanation:
Answer:
6 cups
Step-by-step explanation:
cuz im smart :)
A square acre of land is 5,280 square yards.
Between which two integers is the length of one side?
Between 17 and 18 yards
Between 72 and 73 yards
Between 24 and 243 yards
Between 1,320 and 1,321 yards
Answers
The two integers which the length of one side is in between are 72 yards and 73 yards
How to determine between which two integers is the length of one side?The given parameters are
Area = 5280 square yards
Shape = Square
The area of a shape is calculated using
Area = Length^2
So, we have
Length^2 = 5280 square yards
Take the square root of both sides
Length = 72.66 yards
72.66 yards is between 72 yards and 73 yards
Hence, the two integers which the length of one side is in between are 72 yards and 73 yards
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I’m doing linear equations please help !! 1+6x=19
Answers
6x=19-1
6x=18
x=18/6 (this should be written as a fraction)
x=3 (because 18 divided by 6 is 3)