Answers
y+ (5x-10)= 180 º
Due to the lines are parallels
[tex]\alpha=\beta[/tex]So then
(5x-10)= (x+86)
5x - x = 86 + 10
4x = 96
x = 24
__________________
Checking
(5x-10= 5*24-10= 110º
(x+86) = 24+ 86= 110º
__________________________
y+ (5x-10)= 180 º
y+ 110º = 180 º
y= 180-110º
y= 70º
Related Questions
n Studies / 22FYF013/ Chapter 2: Statistics STACK statistics pr
The numbers of days work missed by 20 workers in one year (ordered by size) we
[0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 55]
Calculate the mean and median. Enter your answers to 1 d.p.
Mean =
Median =
Please answer all parts of the question
Answers
The mean and median of the given data set are 5.55 and 4.
What are the mean and median?A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint. Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.So, the data is:
[0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 55](A) Mean of data:
Sum of all terms/number of terms111/205.55(B) Median of data:
The data set has even terms.Average of two middle terms:4 + 4 / 28/24Therefore, the mean and median of the given data set are 5.55 and 4.
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x - 9 f(x) = { for x +-4 for x = -4 -4 Find f(-4)
Answers
You have the following piece function:
f(x) = -x-9 for x≠-4
-4 for x=-4
as you can notice in the previous piece function, there is a unique value of f(x) when x=-4, and such value is f(-4) = -4
jewel brought home four gallons of milk how many quarts is four gallon
Answers
Here, we want to know the number of quarts that are in 4 gallons
Mathematically;
1 quart = 0.25 gallons
This means that ;
4 quarts = 1 gallon
Hence, 4 gallons = 4 * 4 quarts
= 16 quarts
There are 16 quarts in 4 gallons
In the metric system, 1 gran is the mass of 1 milliliter of water. So, a 2-liter bottle of water has a mass of 2 kilograms. A gallon of water weighs about 8 pounds. What is the mass of a gallon of water to the nearest tenth of a kilogram?Parts A-D
Answers
We know that:
[tex]1\text{ lb }\to0.45\text{ kg}[/tex]A)
Using the conversion law, we can calculate the conversion factor as a fraction:
[tex]\frac{0.45\text{ kg}}{1\text{ lb}}=\frac{9\text{ kg}}{20\text{ lb}}[/tex]B)
Now, we multiplicate 8 pounds by the conversion factor:
[tex]\frac{9\text{ kg}}{20\text{ lb}}\cdot8\text{ lb }\approx3.6\text{ kg}[/tex]C)
The pound units cancel, resulting in an answer given in kilograms.
D)
When you choose a conversion factor, the unit you are converting to is the first quantity in the rate.
Simplify the expression: 4(5x-3)20x-128x17x8
Answers
Answer:
20x-12
Explanation:
Given the expression:
[tex]4\mleft(5x-3\mright)[/tex]To simplify, we first distribute.
[tex]=4(5x)-4(3)[/tex]Next, we open the bracket to obtain:
[tex]=20x-12[/tex]The correct choice is the first one.
May I please get help with this place. I have tried multiple times but still could not get the correct
Answers
(a) Which figures are parallelograms.
A parallelogram is a quadrilateral whose opposite sides are parallel, and therefore opposite angles are equal.
Figure B, and C are parallelogram since all of the opposite angles are equal.
Figure A is also a parallelogram since the all of the opposite sides are congruent.
FIGURE A,B, and C are parallelograms.
(b) Which figures are rectangles.
A rectangle is a parallelogram where all of the angles are 90°. A square is also a type of rectangle where all the sides are congruent.
FIGURE B and C are rectangles.
(c) Which figures are squares.
As mentioned earlier, as square is a rectangle where all the interior angles is 90°, and has all of the sides congruent.
FIGURE C is a square.
Judy has 15 books in her library. She bought several books at a thrift storeon Saturday. She now has 84 books in her library. How many books did shebuy at the thrift store? Write an equation to solve the problem use b forthe variable.
Answers
Let b the number of books Judy has bought.
The given data can be expressed as,
[tex]15+b=84[/tex]Answer:
69 books
15+ b= 84
Step-by-step explanation:
Suppose you deposited $13000 in a saving account in which interest is compounded continuously. It takes 14 years to double your money in this account.(1) What is the annual rate of interest? (Round your answer to one decimal place.) % Tries 0/99(2) How much will you have in this account after 26 years? (Round your answer to two decimal places.) dollars Tries 0/99
Answers
Remember that
The formula to calculate continuously compounded interest is equal to
[tex]A=P\left(e\right)^{\left\{rt\right\}}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is the Number of Time Periods
e is the mathematical constant number
In this problem, we have that
Part 1
P=$13,000
A=$26,000
t=14 years
substitute given values
[tex]\begin{gathered} 26,000=13,000\left(e\right)^{\left\{14r\right\}} \\ solve\text{ for r} \\ 2=e^{14r} \\ apply\text{ ln on both sides} \\ ln(2)=lne^{14r} \\ ln(2)=14r \\ r=\frac{ln(2)}{14} \\ \\ r=0.0495 \\ r=4.95\% \\ r=5\% \end{gathered}[/tex]Part 2
we have
P=$13,000
r=5%=0.05
t=26 years
substitute in the formula
[tex]\begin{gathered} A=13,000(e)^{\operatorname{\{}0.05*26\operatorname{\}}} \\ A=\$47,700.86 \end{gathered}[/tex]I need help with exercise 8-3 I already did 15. So I need the rest
Answers
STEP 1: we create a table of values for y and x as shown below;
For each value of x, we get a corresponding value for y;
[tex]\begin{gathered} y=x^{2^{}}-2x-15 \\ \text{When x=-4} \\ y=(-4)^2-2(-4)-15=9 \end{gathered}[/tex]We continue with this process till when x = 6
[tex]\begin{gathered} \text{When x=-3} \\ y=(-3)^2-2(-3)-15=0 \\ \text{When x=-2} \\ y=(-2)^2-2(-2)-15=-7 \\ \text{When x=-1} \\ y=(-1)^2-2(-1)-15=-12 \\ \text{When x=0} \\ y=(0)^2-2(0)-15=-15 \\ \text{When x=1} \\ y=(1)^2-2(1)-15=-16 \\ \text{When x=2} \\ y=(2)^2-2(2)-15=-15 \\ \text{When x=3} \\ y=(3)^2-2(3)-15=-12 \\ \text{When x=4} \\ y=(4)^2-2(4)-15=-7 \\ \text{When x=5} \\ y=(5)^2-2(5)-15=0 \\ \text{When x=6} \\ y=(6)^2-2(6)-15=9 \\ \end{gathered}[/tex]Select the correct answer from each drop-down menu.The graph of the function /(=)foin(a) + I is shown. What are the key features of this function?y
Answers
Given:
[tex]f(x)=\frac{5}{4}sin(x)+1[/tex]Required:
We need to find the maximum, minimum, range, and interval of the increasing function.
Explanation:
We know that the maximum value of the function occurs whenever sinx=1.
Substitue sin(x)=1 in the given equation to find the maximum value.
[tex]The\text{ maximum}=\frac{5}{4}(1)+1[/tex][tex]The\text{ maximum}=\frac{5}{4}+\frac{4}{4}[/tex][tex]The\text{ maximum}=\frac{9}{4}[/tex][tex]The\text{ maximum}=2.25[/tex]We know that the minimum value of the function occurs whenever sinx=-1.
Substitue sin(x)=-1 in the given equation to find the maximum value.
[tex]The\text{ minimum=}\frac{5}{4}(-1)+1[/tex][tex]The\text{ minimum=}\frac{-5}{4}+\frac{4}{4}[/tex][tex]The\text{ minimum=}\frac{-1}{4}[/tex][tex]The\text{ minimum=-0.25}\frac{}{}[/tex][tex]\text{ Consider the interval }(0,\frac{\pi}{4})[/tex]if the value of y is increasing on increasing the value of x, then the function is known as an increasing function
The given function is increasing to the maximum value when the value of x is increasing.
The values of the given function are increasing in the given interval.
[tex]In\text{ the interval \lparen0,}\frac{\pi}{4})\text{ the function is increasing.}[/tex]We know that the range of the function lies between the minimum and maximum values.
[tex]Range=[-0.25,2.25][/tex]Final answer:
[tex]The\text{ maximum}=2.25[/tex][tex]The\text{ minimum=-0.25}\frac{}{}[/tex][tex]In\text{ the interval \lparen0,}\frac{\pi}{4})\text{ the function is increasing.}[/tex][tex]Range=[-0.25,2.25][/tex]Tim likes to play video games. If he cancomplete a level in of an hour, howmany levels can he complete in 4hours?
Answers
Given:
Number of levels he can complete in 1 hour = 1 level
To find the number of levels he can complete in 4 hours, we have:
4 * 1 = 4
I need help with all those questions in the image!
Answers
Answer:
The rate of change of elevation tends to a constant value.
Explanation:
The average rate of change of e(x) on the interval [a, b] defined as
[tex]m_{\text{avg}}=\frac{e(b)-e(a)}{b-a}[/tex]which explicitly we can write as
[tex]m_{\text{avg}}=\frac{\sqrt[]{b-10}-\sqrt[]{a-10}}{b-a}[/tex]Now, the question is, what happens to m_avg as we increase b while keeping a fixed?
As b becomes large then √b -10 becomes √b and b - a becomes b (since a is comparatively small); therefore, m_avg becomes
[tex]m_{\text{avg}}=\frac{\sqrt[]{b-10}-\sqrt[]{a-10}}{b-a}\Rightarrow\frac{\sqrt[]{b}-\sqrt[]{a-10}}{b}\Rightarrow\frac{\sqrt[]{b}}{b}[/tex][tex]\Rightarrow m_{\text{avg}}=\frac{\sqrt[]{b}}{b}[/tex]which for any fixed value of b is a constant.
The same behaviour can be extrapolated by looking at the graph of e(x).
As can be seen from the graph, as x increases, the slope of the function becomes flatter and flatter, meaning it tends to be a constant. In other words, for large values of x, you can approximate the slope of the function by a straight line.
This table shows the amount of gas Sharla's car uses to travel different distances on a highway.Number of Gallons Number of Miles41446216324912432Based on the data in the table, how many miles per gallon does Sharla's car get on a highway?O A. 18 mpgO B. 28 mpgOC. 36 mpgO D. 72 mpg
Answers
We'll calculate the miles per gallon using the following formula and the data on the table:
[tex]\text{mpg}=\frac{miles\text{ traveled}}{\text{gallons used}}[/tex]From the first set of data:
[tex]\text{mpg}_1=\frac{144}{4}=36[/tex]From the second:
[tex]\text{mpg}_2=\text{ }\frac{216}{6}=36[/tex]From the third
[tex]\text{mpg}_3=\frac{324}{9}=36[/tex]and from the fourth
[tex]\text{mpg}_4=\frac{432}{12}=36[/tex]Since all the data on the table showed us that the car gets 36 miles per gallon, we can conclude that it indeed gets 36 miles per gallon.
Solve for
x: 5/6x+7=1
Answers
Answer:
x=2/3
Step-by-step explanation:
5/(6x+1) * 6x+1 = 1 * (6x+1)
5=6x+1
5-1=6x+1-1
6x=4
6x/6=4/6
x=2/3
Simplify.
(4.17x−1.32)+(−7.6x+3.54)
Responses
−3.43x+2.22
negatvie 3.43 x plus 2.22
7.71x−8.92
7.71 x minus 8.92
11.77x + 4.86
11.77, x, + 4.86
2.85x−4.06
Answers
The value of the expression (4.17x−1.32)+(−7.6x+3.54) is A. −3.43x+2.22 or negatvie 3.43 x plus 2.22
What are expressions?Expressions are used in Mathematics to illustrate the relationship between the variables.
The expression is given as:
(4.17x−1.32)+(−7.6x+3.54)
Open the parentheses and collect like terms
4.17x - 7.6x - 1.32 + 3.54
-3.43x + 2.22
Therefore, the correct option is A.
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I'll send a better pic I just need help doing the work and understanding what it's about
Answers
The formula to calculate the rate of change is given to be:
[tex]r=\frac{y_2-y_1}{x_2-x_1}[/tex]In the question, time will be the x-variable while distance will be the y-variable.
QUESTION A: Between 0 and 1.
Between 0 and 1, we will use the following parameters to calculate the rate:
[tex]\begin{gathered} x_1=0 \\ x_2=1 \\ y_1=6 \\ y_2=4 \end{gathered}[/tex]Therefore, the rate is:
[tex]\begin{gathered} r=\frac{4-6}{1-0}=\frac{-2}{1} \\ r=-2 \end{gathered}[/tex]The rate is -2.
QUESTION B: Between 1 and 3.
Between 1 and 3, we will use the following parameters to calculate the rate:
[tex]\begin{gathered} x_1=1 \\ x_2=3 \\ y_1=4 \\ y_2=2 \end{gathered}[/tex]Therefore, the rate is:
[tex]\begin{gathered} r=\frac{2-4}{3-1}=\frac{-2}{2} \\ r=-1 \end{gathered}[/tex]The rate is -1.
QUESTION C: Between 3 and 6.
Between 3 and 6, we will use the following parameters to calculate the rate:
[tex]\begin{gathered} x_1=3 \\ x_2=6 \\ y_1=2 \\ y_2=3 \end{gathered}[/tex]Therefore, the rate is:
[tex]\begin{gathered} r=\frac{3-2}{6-3} \\ r=\frac{1}{3} \end{gathered}[/tex]The rate is 1/3.
Tyler wants to crate a scale drawing of his bedroom. His bedroom is a rectangle with length 5m and width 4m. He decides on a scale of 1 to 80
Answers
The dimension of the rectangle after the scale will be 5 cm wide and 6.25 cm long.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Tyler wants to sketch out his bedroom to scale. His bedroom is a rectangle that is 5 meters long and 4 meters wide. He chooses based on a scale of 1 to 80.
Then the dimension of the rectangle after the scale.
Width = (1/80) x 4
Width = 5 cm
Length = (1/80) x 5
Length = 6.25 cm
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Find if -3w - 6(u + 2v) if u = -3j, v = i + 2], and w =combination of unit vectors.-;. Express your answer as a linear
Answers
we have the expressiob
-3w - 6(u + 2v)
where
u=-3j
v=i+2j
w=-(1/3)i-(7/3)j
substitute the given values in the expression
so
-3(-(1/3)i-(7/3)j)-6(-3j+2(i+2j))
(i+7j)-6(-3j+2i+4j)
(i+7j)-6(2i+j)
(i+7j)-12i-6j
answer is
-11i+jIn the figure below, m ZIKL = 143° and mZ1 =499, Find m2, M 2 1 2 K
Answers
In this case, we have a segment line KM that divides the angle [tex]\begin{gathered} m<\text{JKL}=m<1+m<2 \\ \end{gathered}[/tex]As we know, m[tex]\begin{gathered} m<1+m<2=m<\text{JKL} \\ 49\~+m<2=m<\text{JKL}+m<2=143\~ \end{gathered}[/tex]And subtracting 49 from both sides, we get:
[tex]undefined[/tex]Which expression is equivalent to 5 + 9z+ 6 + 4z?
Answers
explanation:
you simplify 5+9z+6+4z which equals to 13z+11
Answer: 13z + 11
Step-by-step explanation:
5 + 9z + 6 + 4z
a) Add.
5 + 6 = 11
b) Combine like terms.
9z + 4z = 13z
11 + 13z
c) Reorder.
13z + 11
Do the points on the linehave a constant ratio of they-coordinate to the x-co-ordinate for any point onthe line except the y-inter-cept? Explain your answer.
Answers
If sin0 =0.5974, then theta is
Answers
To find the angle Θ, find the sine inverse of 0.5974 with a calculator or mathematical table for sine
That is,
[tex]\begin{gathered} \theta=\sin ^{-1}(0.5974) \\ \theta=36.68^0\text{ (to the nearest tenth)} \end{gathered}[/tex]The answer is: Θ=36.68⁰
What is 4 notes that are important to the concept of. Absolute Value and the Additive
Answers
This problem is about absolute value.
Four important notes to remember are:
• Absolute value is the modulus of a number, that is, includes only the number without any signs.
• The absolute value of a number can be positive, when the number is positive, that is
[tex]|x|=x[/tex]• The absolute value can be negative if the number is negative
[tex]|x|=-x[/tex]• The absolute value of zero is zero.
[tex]|0|=0[/tex]There you have it, those are 4 important notes to keep in mind about absolute value.
On the other hand, "the additive" would refer to a wide variety of subjects, so, there's a word missing to complete the question.
name three fractions that are equivalent to 2/5
Answers
help me please
thank you
Answers
Answer:
(-7, 3)
Step-by-step explanation:
what Since the endpoints of the interval are not included, use parentheses.
Find the domain of the logarithmic function and then graph the function. y= In (4x - 5) Find the domain of the function.
Answers
Domain = ( 5/4 , ∞)
Explanations:The logarithm function is given as:
y = ln (4x - 5)
the domain of the functions is a set of all the values of x that makes the function true (defined)
Note that the natural logarithm of a negative number is undefined. This means that the natural logarithm (ln) is only defined for positive numbers
This means that in y = ln (4x - 5), 4x -5 has to be greater than zero for the function to be defined.
Set 4x - 5 > 0
4x > 5
x > 5 / 4
Therefore, the domain of the function is a set of values greater than 5/4
Domain = ( 5/4 , ∞)hi Ms or Mr i need help with this problem would mind helping me out step by step? because i don't understand this
Answers
Looking at the given diagram,
HI + JI = JH
Given the HI = 3x - 5
JI = x - 1
HJ = 7x - 27
Therefore,
3x - 5 + x - 1 = 7x - 27
3x + x - 7x = - 27 + 5 + 1
- 3x = - 21
Diving bith sides - 3, it becomes
- 3x/3 = - 21/- 3
The negative signs nullify each other
x = 7
Fencing costs $25.80 per yard. How much does it cost to enclose two adjacent rectangular pastures as shown?
Answers
Terrance says that (5, 4) is a point on the line of y-4=1/2(x-5). He says it’s impossible to find another point on the line because the equation is in point-slope form. Explain Terrance’s error.
Answers
Terrance’s error is that he limits the solution of the equation to one ordered pair
How to determine the error in Terrance’s claim?The equation is given as
y - 4 = 1/2(x - 5)
The solution is given as
(5, 4)
The above solution is true
This is so because; when x = 5, the value of y is 4
i.e.
y - 4 = 1/2(5 - 5)
y - 4 = 0
y = 4
Next, we set x to another value (say x = 9)
So, we have
y - 4 = 1/2(5 - 9)
y - 4 = -2
y = 6
This means that the equation can have another solution
In this case, it is (9, 6)
Hence, one ordered pair cannot be the solution to the equation
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What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
Answers
The diameter d is 35 ft.
Therefore, the radius r is given by:
[tex]r=\frac{35}{2}=17.5\text{ ft}[/tex]Therefore, the area of the slice is given by:
[tex]\frac{37^{\circ}}{360^{\circ}}\times\pi\times17.5^2\approx98.88[/tex]Therefore, the required area is approximately 98.88 ft².
Therefore, the closest correct answer is choice 98.83 ft².
