Given, both the angles are congruent. So we simply equate the expressions for the angles and solve for x.
Shown below:
\(\begin{gathered} 8x-34=5x+2 \\ 8x-5x=34+2 \\ 3x=36 \\ x=\frac{36}{3} \\ x=12 \end{gathered}\)Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
<3 help mi i’m down bad
Sol Levin sold 22 pairs of shoes each day.
Monday through Wednesday, 28 pairs on Thursday,
and 31 on Friday. How many shoes must he sell on
Saturday to average 29 pairs sold for the 6 days
he worked during the week?
Answer:
Sol Levin needs to sell 49 pairs shoes on Saturday.
Step-by-step explanation:
29 x 6 = 174
(22 x 3) + 28 + 31 + x = 174
66 + 28 + 31 + x = 174
94 + 31 + x = 174
125 + x = 174
(125 - 125) + x = (174 - 125)
x = 49
The Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.
To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.
The temperature ranges and their corresponding frequencies are as follows:
30-39: 2 days
40-49: 26 days
50-59: 28 days
60-69: 8 days
70-79: 2 days
To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.
Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.
Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.
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A restaurant wants to study how well its salads sell. If 10 of the salads sold were salads, how many total salads did the restaurant sell?
Answer:
Um... is this a joke it’s 10
Step-by-step explanation:
(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)
Step-by-step explanation:
\( \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})\)
~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :
⤑ \( \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}\)
~Like terms are those which have the same base. Combine the like terms :
⤑ \( \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}\)
⤑ \( \sf{8 {a}^{2} - ab + 2b + 9}\)
\( \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Simplified answer is: \(8a^2 - ab + 2b + 9\)
Step-by-step explanation:
Key skills needed for understanding: Combining Like Terms
1) You are given the equation: \((3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)\)
- Since you are adding here, you can remove the parentheses.
- If you remove them it would be --> \(3a^2 + 2ab + 2b + 5a^2 - 3ab + 9\)
2) Now we have to combine like terms in order to simplify this equation.
Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "\(a^2\)" or the terms that have nothing - these terms are numbers such as 9 or 5).
You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.
3) If you combine like terms ( \(3a^2 + 5a^2\), \(2ab - 3ab\)) you will get a different expression: \(8a^2 - ab + 2b + 9\).
\(8a^2 - ab + 2b + 9\) is the answer.
Hope you understood and have a nice day!! :D
What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³
Answer:
1. y = 2x + 7
Step-by-step explanation:
The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data?
A) Yes, the points have no pattern.
B) No, the points are evenly distributed about the x-axis.
C) No, the points are in a linear pattern.
D) Yes, the points are in a curved pattern.
i know 100% the answer isn’t B or D!
Answer:
c
Step-by-step explanation:
Answer:
A. Yes, the points have no pattern.
Step-by-step explanation:
just did it on edge and got 100%
Which of the following are solutions to the system of inequalities y<−x+5 and y≥3x+1?
A)
(1,0)
cross out
B)
(−2,2)
cross out
C)
(1,6)
cross out
D)
(0,1)
cross out
E)
(1,4)
cross out
F)
(−2,7)
From the graph attached below, the solution to the system of linear inequalities are (1, 4)
What is the solution to the system of linear inequalities?A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.
In the problem given;
y < - x + 5 ...eq(i)
y ≥ 3x + 1 ...eq(ii)
To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.
From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E
Kindly find attached graph below
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O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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Evaluate the expression, showing work please
5((8+2)+3(6-3))
Answer:
The answer is 59
Step-by-step explanation:
5(8+2)+3(6-3)
5*8=40
5*2=10
3*6=18
3*-3=-9
(40+10)+(18-9)
50+9=59
whats equivalent to 34+16
Answer:
2(17)+8
Step-by-step explanation:
answer: 2(17+8)
explanation: 17+8= 25
25 times 2= 50
34+16=50
:)
Jennifer first spins a spinner and then flips a coin. Complete the following table representing the sample space for this compound event
The size of sample space is 8.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.
Given Jennifer first spins a spinner and then flips a coin,
Table for sample space is
Result of spin
Coin result Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
Total sample space is 8.
Hence the number of sample space is 8.
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Answer:
Step-by-step explanation:
I need help , any of u guys have the answer?
c) ¿Cuántas combinaciones se pueden hacer en seleccionar los tres lugares ganadores de una carrera de 15
caballos?
Hay un total de 2730 combinaciones posibles.
¿Qué es permutación y combinación?Las permutaciones y combinaciones forman principios de conteo, que se aplican en muchas situaciones diferentes. Una permutación es el número de arreglos diferentes que se pueden hacer a partir de un conjunto dado. Cuando se trata de permutaciones, los detalles importan porque el orden o el orden importan. Este orden en el que escribe los nombres de los países es importante, ya que escribir los nombres de los tres países {EE. UU., Brasil, Australia} o {Australia, EE. UU., Brasil) o {Brasil, Australia, EE. UU.} es diferente. En combinación, los nombres de los tres países son solo un grupo, y el orden o secuencia no importa. Obtenga más información sobre permutaciones y combinaciones en el siguiente contenido. Las permutaciones y las combinaciones son métodos que se utilizan para contar el número de resultados posibles en diversas situaciones. Las permutaciones se entienden como arreglos y las combinaciones se entienden como alternativas. Siguiendo los principios básicos del conteo, hay reglas de suma y reglas de multiplicación para una fácil aplicación del conteo. Supongamos que hay 14 niños y 9 niñas. Al elegir un niño o una niña como maestro de salón, el maestro de salón puede elegir 1 de cada 14 niños y 1 de cada 9 niñas. Puede hacerlo en sus 14 + 9 = 23 maneras (usando la regla de la suma de conteo).Cálculoen carrera de 15 caballos si se consideran 3 posiciones
entonces número de combinaciones posibles = 15 * 14 * 13 = 2730 combinaciones posibles
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2x-9
X =
X +5
Use the triangle shown above to solve for x.
A
The value of x is 14.
We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.
We have two sides measured 2x-9 and x+ 5.
From the figure the length of sides are equal then
2x-9 = x+ 5
2x- 9- x = 5
x-9 = 5
Add 9 to both sides of the equation:
x - 9 + 9 = 5 + 9
x= 14
Thus, the value of x is 14.
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find an equation that passes through (1 ,2) and is parallel y=3x-9
Answer:
A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point (1, 2)
Substituting the values we get:
y - 2 = 3(x - 1)
Simplifying the equation we get:
y - 2 = 3x - 3
y = 3x - 1
Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .
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Use a calculator to solve the following equation for θ on the interval (−π/2,π/2).
tan(θ)=3.804
Round to three decimal places.
θ=? Radians
the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately \(1.305\)radians.
What is interval?An interval is a set of real numbers that includes all the numbers between two endpoints. The endpoints can be included or excluded from the interval, depending on whether square brackets or parentheses are used to define the interval.
The equation is:
\(tan(\theta) = 3.804\)
To solve for θ, we can use the inverse tangent function (also known as arctan or tan^-1) on both sides of the equation:
\(\theta = tan^-1(3.804)\)
Using a calculator, we can evaluate this expression and get:
\(\theta \approx 1.305\) radians (rounded to three decimal places)
Therefore, the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately \(1.305\)radians.
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i need the answer to this question
Answer:
Area of annulus is 40.85cm² to 2d.p
Step-by-step explanation:
Area of shaded part=Area of bigger circle -Area of smaler circle
Area of annulus= πR²- πr²= π(R²-r²)
A=3.142(7²-6²)
A=3.142(49-36)
A=3.142×13
A=40.846cm²
A=40.85cm² to 2d.p
PLSSSS HELP ME NOWW I DONT GET IT
Answer:
B
Step-by-step explanation:
Someone please help me with math. Thank You
Answer:
4) 64 cubic inches
Step-by-step explanation:
8x8 = 64
12 6 12 24
Select one:
A. 240 square units
B. 252 square units
C. 180 square units
D. 216 square units
Answer:
B
Step-by-step explanation:
divide the given polygon into two (a square and a trapeziumarea of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unitarea of a square=s×s 12×12 =144square unitadd 108+144=252square unitDenise earns $22.50 an hour. How much will Denise earn for an overtime hour if she earns time and half ( 1.5 ) for overtime work?
what is the interval of b, b/8=4?
hum.......... não sei não menmmmmmmm
15x +15x =15x x (____+_______) = 15 x 7
Answer:
The y is the underlined slots in the parenthesis
x=1/30
y=315
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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Design and complete a frequency table for Belinda.
Belinda ask 20 people, how many hours of TV did you watch last week?
Here is the results
3,17,4,4,6,11,14,14,1,20,9,8,9,6,12,7,8,13,13,9.
Belinda wants to show these result in a frequency table.
She will use 4 equal groups.
The first group will start with 1 hour and the last group will end with 20 hours.
Answer:
Step-by-step explanation:
Since she will use 4 groups or class intervals, the the class width would be 20/4 = 5 hours
The class groups would be
1 to 5
5 to 10
10 to 15
15 to 20
The class mark for each class is the average of the minimum and maximum value of each class. Therefore, the class marks are
(1 + 5)/2 = 3
(5 + 10)/2 = 7.5
(10 + 15)/2 = 12.5
(15 + 20)/2 = 17.5
The frequency table would be
Class group Frequency
1 - 5 4
5 - 10 8
10 - 15 6
15 - 20 2
The total frequency is 4 + 8 + 6 + 2 = 20
35 Points! Multiple choice. State the domain and range of the function graphed. Photo attached. Thank you!
Domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}.
Define domain and range of functionIn mathematics, the domain of a function is the set of all possible input values for which the function is defined. The range of a function is the set of all possible output values that the function can produce, based on its input values. In other words, the domain is the set of all x-values that the function can take, while the range is the set of all corresponding y-values that the function can take.
The given graph is oriented toward x direction
Domain of function =x≥2
For every value of x the y is always positive
So, range =y≥0
Hence, domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}
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42 is 0.3% of what number? Would you expect the answer to be a lot less than 42, slightly less than 42, slightly greater than 42, or a lot greater than 42?
Simplify: −2[−3(x − 2y) + 4y].
thanks!
Answer:
6x − 20y
Step-by-step explanation:
−2[−3(x − 2y) + 4y] =
= −2[−3x + 6y + 4y]
= −2[−3x + 10y]
= 6x − 20y
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS:
Parenthesis
Exponent
Multiplication
Addition
Subtraction
Step 1
−2[−3(x − 2y) + 4y] Equation
Step 2
-2[-3(x -2y) + 4y] simplify
(-2)(-3(x-2y))+(-2)(4y)
Step 3
(-2)(-3(x-2y))+(-2)(4y) Add,Subtract And Remove parenthesis
6x-12y-8y
answer
6x-20y