Answers
Answer:
151°
Step-by-step explanation:
First, we must identify the geometric figure in the diagram. It has five angles, so it's a pentagon.
It is also important to remember that the sum of all interior angles in a pentagon is 540°. So that means:
5x+2 + 10x-3 + 8x-19 + 13x-31 + 7x-11 = 540
43x-62 = 540
43x = 602
x = 14°
Now, we just plug in value of x into the expression for angle S:
S = 13x-31
S = 13•14-31
S = 151°
Related Questions
A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?
Answers
Answer:
Thank you and please rate me as brainliest as it will help me to level up
Simplify the followingexpression (-5)(-3)(4)
Answers
A negative times a negative equals a positive. This means that -5 x -3 = 15.
Then you multiply that by four and get 60.
Hope this helps and have a nice day!!
2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?
Answers
How do you find
the rate of change of a function?
Answers
Answer:
xfghzfgfrxeshixeah
Step-by-step explanation:
LG's SSL looks sl lid
If alice earns 56% more than wallaceAlice's salary is how many times Wally's salary?
Answers
Answer:
Alice's salary is 1.56 times Wally's salary
Step-by-step explanation:
Let Wally's salary = x
Alice's salary = x + 56% of x
= x + 0.56x
= 1.56x
= 1.56 * Wally's salary
Answer:b
Step-by-step explanation:
Find the slope
How can I find the slope
Answers
Answer:
You should use the y2 - y1 /x2 - x1
To find the answer you should be able to plug in the x and the y in the equation with the coordinates that you have but I'm not sure if you don't have what you'll do
(3,1) and (-2,-1) are the two point.
You could do the y2-y1/x2-x1. Which is (-1) - 1 = -2 and (-2) - 3 = -5. Two negatives make a positive so the answer would be 2/5.
PLS SOLVE!!!!! THANK YOU!!!!!
Answers
CHECK MY ANSWERS PLEASE!!
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answers
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU
What is the y-intercept in the equation 2y = x -8
Answers
Answer:
(0,-4)
Step-by-step explanation:
What date and time is it 2011 minutes after the beginning of January 1, 2020? Include A.M. or P.M. in your answer.
Answers
Answer:
9:15 pm
Step-by-step explanation:
The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponentially over many years. In 1971, the DDT concentration was 13.00 ppm (parts per million). In 1984, the DDT concentration was 2.22 ppm.
Using these data points, determine the exponential decay function to model the DDT concentration decline in terms of years, tt, where t=0t=0 represents the year 1971.
A) Write your function as y = Ce^{rt}y=Ce^rt. Round your value of rr to four decimal places.
B) Another way to write the function down is known as the half-life formula, written as y = C(0.5)^{t/H}y=C(0.5)^t/H, where HH is the time required for the concentration to get cut in half. Using the initial two data points, find the value of HH, rounded to 2 decimal places. Show all Algebraic work.
C) The goal was to reduce the DDT concentration to 0.98 ppm by 1995. Was this possible according to your model?
Answers
Answer: A) [tex]y=13e^{-0.1359t}[/tex]
B) H = 5.10
C) Yes
Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: [tex]y(t)=Ce^{rt}[/tex]
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:
[tex]y(t)=Ce^{rt}[/tex]
[tex]2.22=13e^{13r}[/tex]
[tex]e^{13r}=0.1708[/tex]
Using a natural logarithm property called power rule:
[tex]13r=ln(0.1708)[/tex]
[tex]r=\frac{ln(0.1708)}{13}[/tex]
[tex]r=-0.1359[/tex]
The decay function for concentration of DDT through the years is [tex]y(t)=13e^{-0.1359t}[/tex]
B) The value of H is calculated by [tex]y=C(0.5)^{\frac{t}{H} }[/tex]
[tex]2.22=13(0.5)^{\frac{13}{H} }[/tex]
[tex](0.5)^{\frac{13}{H} }=0.1708[/tex]
Again, using power rule for logarithm:
[tex]\frac{13}{H} log(0.5)=log(0.1708)[/tex]
[tex]\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}[/tex]
[tex]\frac{13}{H} =2.55[/tex]
H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model [tex]y(t)=13e^{-0.1359t}[/tex] to determine concentration of DDT in 1995:
[tex]y(24)=13e^{-0.1359.24}[/tex]
y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.
Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper?
A. 38x- 1,450>76
B. 38(x + 1,450)>4,000
C. 38x> 4,000
D. 38x + 1,450> 4,000
Answers
D. 38x+1450>4000
Explanation:
It has to be greater than 4000 so A makes no sense
The parentheses are in the wrong place completely changing the meaning for B
Example
Shama has 1000 shares of par value Rs. 10 each of a company and 200 debentures of par value Rs. 100 each. The company pays an annual dividend of 10% and aninterest of 15% on debentures. Find the total income of Shama and rate of return on her investment
Answers
Answer:
are u indian ¿
:).... ........ :)
Pls answer 55-62 I will give brainlist
Answers
56) 12 2/3 or 12.66666666667
57) -46 2/4 or -46.6666666667
58) 7 9/16 or 7.56
59) -15
60) 3 1/10 or 3.1
61) 6 2/3 or 6.666666666667
62) -13807.5
Your welcome
What's the diameter of 76cm circle circumference
Answers
Answer:
The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.
For example):
Finding diameter - 76/3.14 = 24.19 (d)
Finding radius - 24.19/2 = 12.095 (r)
Which is a correct frost step for solving this equation
Answers
Answer:
you have to post the equation
Step-by-step explanation:
factor 2w+6
Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)
Answers
Answer:
2( w + 3 )
Step-by-step explanation:
Well first off, since theres no common term to factor out, I had to split 6 in half
so 2 w + 6 becomes 2w + 2 x 3.
I then factored out 2 because it's a common term,
which then leaves: 2( w + 3 )
basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.
If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x
Answers
Answer:
x = 2 or x = -3
Step-by-step explanation:
Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.
Thus:
[tex] RT = BC [/tex]
[tex] (x^2 + x) = 6 [/tex]
Solve for x
[tex] x^2 + x = 6 [/tex]
Subtract 6 from each side
[tex] x^2 + x - 6 = 6 - 6 [/tex]
[tex] x^2 + x - 6 = 0 [/tex]
Factorise
[tex] x^2 + 3x - 2x - 6 = 0 [/tex]
[tex] x(x + 3) -2(x + 3) [/tex]
[tex] (x - 2)(x + 3) [/tex]
x = 2 or x = -3
A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?
Answers
Answer:
Step-by-step explanation:
138/8 = 17.25
Please help me, thanks!
Answers
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain. (2 points)
Answers
Answer:
x-8 is a factor of f(x)
Step-by-step explanation:
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the function
[tex]f(x)=-2x^3+17x^2-64[/tex]
And it's required to find if x-8 is a factor of f.
Applying the mentioned theorem, we only have to find f(8):
[tex]f(8)=-2\cdot 8^3+17\cdot 8^2-64[/tex]
Operating:
[tex]f(8)=-2\cdot 512+17\cdot 64-64[/tex]
[tex]f(8)=-1024+1088-64[/tex]
[tex]f(8)=0[/tex]
Thus, x-8 is a factor of f(x)
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answers
Answer:
because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.
Answer: 1. the students 2. the final exams 3. is- domain- one- range brainliest plzz??
A 2.5-meter piece of framing lumber has been used to cut a piece 1.65 meters long. How much of the original piece of lumber remains, in meters?
Answers
Answer:
0.85 of the original piece of lumber remains.
Step-by-step explanation:
Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.
2.5 - 1.65 =
2.50 - 1.65 = 0.85.
Therefore, 0.85 of the original piece of lumber remains.
Hope this helps! :)
find the slope please :)
Answers
Answer:
3/4
Step-by-step explanation:
up 3 over 4
A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an
approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. What
percentage of filled boxes of rice have a weight between 28 and 29 ounces?
Find the z-table here.
O 33.1%
O 36.7%
O 63.3%
66.9%
Answers
Answer:
D
Step-by-step explanation:
I got it right
Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by: [tex]\mu = 28.2, \sigma = 0.4[/tex].
The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:
X = 29:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 28.2}{0.4}[/tex]
Z = 2
Z = 2 has a p-value of 0.977.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 28.2}{0.4}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.308.
0.977 - 0.308 = 0.669 = 66.9%.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ2
7 years 5months plus 10 months equal?
Answers
Answer:
8.25 years
Step-by-step explanation:
hope this helps :)
Consider the two functions given below. What is the y-intercept of g? A. (0,14) B. (0,4) C. (0,9) D. (0,-5)
Answers
Note: You probabily forgot to mention the two function. While after some research, I was able to find two functions based on which I would like to solve your query.
Answer:
The y-intercept of the equation will be (0, 4).
Step-by-step explanation:
Considering the assuming functions f(x) and g(x).
[tex]f(x) = -3x - 5[/tex]
[tex]g(x) = f(x)+9[/tex]
So,
[tex]g(x) = (-3x-5)+9[/tex] ∵ [tex]g(x) = f(x)+9[/tex]
[tex]g(x) = -3x+4[/tex]
Now, finding the y-intercept
so putting x = 0 in function g(x)
[tex]g(x) = -3(0)+4[/tex]
[tex]g(x) = 0+4[/tex]
[tex]g(x) = 4[/tex]
Therefore, the y-intercept of the equation will be (0, 4).
Answer:
B
Step-by-step explanation:
Which statements are true of all squares? Select three options.
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The diagonals are congruent to the sides of the square.
The diagonals are twice the length of one side of the square.
Answers
Answer:
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The statements that are true of squares include:
The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.What's a square?It should be noted that a square simply means a shape that has four sides equal. The angles are also 360° since they're 90° each.
In squares, the diagonals are perpendicular and the diagonals are congruent to each other.
Learn more about square on:
https://brainly.com/question/12831058
Write any number and its additive inverse.
Answers
Answer: Additive Inverse of 17 = -17
The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -17?" or "What is the additive inverse of negative 17?" is 17. Since the additive inverse of 17 is -17, additive inverse is also known as the opposite number.
Step-by-step explanation:
is this what you meant??
Polly walked a total of 20 kilometers by making 4 trips to school. How many trips will Polly have to make in all to walk a total of 50 kilometers? Assume the relationship is directly proportional.
Answers
Answer:
ffffffffffffffffffffffffffffffffffff
Step-by-step explanation: