The required value of ∠ABC in the given triangle is 50°
Explain the relation between interior and exterior angles?The relation between interior and exterior angles of the triangle are related as, the sum two interior angles of triangle is equal to the opposite exterior angle of that triangle.
As we see in the given question, the sum of angle ∠A and ∠B is equal to the exterior angle which is 145°
According to the question:⇒ 2x° + 95° = 145°
⇒ 2x° = 145° - 95°
⇒ 2x = 50°
Thus, required answer of angle ∠ABC is 50°
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what is the equation of the linear graph
Answer: C
Step-by-step explanation:
All i used was a desmos graphing calculator
pls help!!!
Consider the calculation 2/3 × 5/8 .
Without calculating the product, explain how you know that 3/4 is not the answer.
(p.s. they are fractions)
PLEASE HELP ME!!!!!!!!!!!!!!
The equivalents of the functions are f(x)+g(x) = -2x²-x+6, g(x) - f(x) = -2x²-5x+2, f(x).g(x) = -6x³-10x²+8x+8, h(x)-f(x) = 3x²-7x-2, f(x).h(x) = 9x³-6x²-8x and f(x)+g(x)+h(x) = x²-3x+6
How to match the function operation with its equivalent value?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: f(x) = 3x + 2, g(x) = -2x²-2x+4 and h(x) = 3x²-4x
To solve this problem, just substitute the value of the function and perform the necessary operations on them.
f(x)+g(x) = (3x+2) + (-2x²-2x+4)
= 3x+2-2x²-2x+4
= -2x²-x+6
g(x) - f(x) = (-2x²-2x+4) - (3x+2)
= -2x²-2x+4-3x-2
= -2x²-5x+2
f(x).g(x) = (3x+2)(-2x²-2x+4)
= -6x³-6x²+12x -4x²-4x+8
= -6x³-10x²+8x+8
h(x) - f(x) = (3x²-4x) - (3x + 2)
= 3x²-4x-3x-2
= 3x²-7x-2
f( x) . h(x) = (3x + 2)(3x²-4x)
= 9x³-12x²+6x²-8x
= 9x³-6x²-8x
f(x)+g(x)+h(x) = (3x + 2) + (-2x²-2x+4) + (3x²-4x)
= 3x+2-2x²-2x+4+3x²-4x
= x²-3x+6
Therefore, the equivalents are f(x)+g(x) = -2x²-x+6, g(x) - f(x) = -2x²-5x+2, f(x).g(x) = -6x³-10x²+8x+8, h(x)-f(x) = 3x²-7x-2, f(x).h(x) = 9x³-6x²-8x and f(x)+g(x)+h(x) = x²-3x+6. You should match them accordingly
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Jonathan‘s scout troop tie-dyed sweatshirts and T-shirts last year for a fundraiser. For every 20 sweatshirts they dyed 30 T-shirts. This year Jonathan scout troop will keep the same ratio of sweatshirts and T-shirts. They plan to tie-dye 60 sweatshirts.
How many T-shirts with Jonathan Scout troop dye this year?
Answer:90 t shirts
Step-by-step explanation: 20:30 is the ratio and if they make 60 sweatshirts, they would have to make 90 tshirts as well. this would keep the same ratio
Find the slope of the line. Write your answer in simplest form.
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEE
Answer:
0,3
Step-by-step explanation:
it between the 2 and it is negative and positive cases in the -2
i^50
Answer this question, include your reasoning and steps.
Answer:
-1
Step-by-step explanation:
Given:
[tex]i^{50}[/tex]
Rewrite 50 as the product of 2 and 25:
[tex]\implies i^{(2 \cdot 25)}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies \left(i^2\right)^{25}[/tex]
Apply the imaginary number rule i² = -1 :
[tex]\implies \left(-1\right)^{25}[/tex]
[tex]\textsf{Apply the exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]
[tex]\implies -1^{25}[/tex]
As 1²⁵ = 1 then:
[tex]\implies -1[/tex]
Answer:
(i)⁵⁰ = -1
Step-by-step explanation:
The problem is,
→ (i)⁵⁰
Formula we use,
→ i² = -1
Let's solve the problem,
→ (i)⁵⁰
→ (i²)²⁵
→ (-1)²⁵
→ -1
Hence, the answer is -1.
[tex]\left \{ {{y=x^2+x-1} \atop {y + 2 x = 3}} \right.[/tex]
Solve the following system of equations algebraically or by graphing, and give the answer as points. Which method did you pick and why?
How could you check your answer afterwards?
Solving the system of equations using the algebraic method gives x = 1 or x = -4
How to solve the system of equations algebraically?Given: y = x²+x-1 and y+2x=3
In order to solve the system of equations algebraically
First, rewrite y+2x=3 to make y the subject:
y = 3-2x
Then, equate the two y of the equations and solve for x:
x²+x-1 = 3-2x
x²+x-1-3+2x = 0
x²+3x-4 = 0 (factorize)
x²+4x-1x-4 = 0
(x-1)(x+4) = 0
x-1 = 0 or x+4 = 0
x = 1 or x = -4
Therefore, the solution of the system of equations is x = 1 or x = -4
I pick the algebraic method because it is easier, faster and more accurate
I can check my answer by substituting the values of x into the equation
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Answer:
(-4, 11) and (1, 1)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=x^2+x-1\\y+2x=3\end{cases}[/tex]
The solutions to the given system of equations are the points of intersection of the two graphs.
To solve the given system of equations algebraically, first rearrange the second equation to make y the subject:
[tex]\implies y=3-2x[/tex]
Substitute the found expression for y into the first equation:
[tex]3-2x=x^2+x-1[/tex]
Rearrange to a quadratic equation and factor:
[tex]x^2+3x-4=0[/tex]
[tex]x^2+4x-x-4=0[/tex]
[tex]x(x+4)-1(x+4)=0[/tex]
[tex](x+4)(x-1)=0[/tex]
Apply the zero-product property to solve for x:
[tex](x+4)=0\implies x=-4[/tex]
[tex](x-1)=0\implies x=1[/tex]
To find the y-values of the solutions, substitute the found x-values into the rearranged second equation:
[tex]x=-4 \implies y=3-2(-4)=11[/tex]
[tex]x=1\implies y=3-2(1)=1[/tex]
Therefore, the solutions to the given system of equations are:
(-4, 11) and (1, 1)please give me the right answer on this so I can turn it in to my math teacher
Answer: 16/18 and 10/16
Step-by-step explanation: The least common denominator would be 18 and 16 because you would multiply by 2.
Hoped This Helped!
Me ayudan porfavor 2 trinomios cuya diferencia sea 4x²-7x+5
Answer:
Δ = b² - 4ac
Step-by-step explanation:
do math
There are 15 circles and 6 squares. What is the simplest ratio of squares to total shapes?
Answer:
2/7Step-by-step explanation:
There are 15 circles and 6 squares.
Total shapes:
15 + 6 = 21Ratio of squares to total shapes:
6/21 = 2/7Answer:
the answer is 2:7
Step-by-step explanation:
6÷3 : 21÷3
=2:7
Can someone pls give me the answer to this???
Answer:
By comparing both the figures there is a difference of 6
[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]
Look at this graph:
What is the slope?
Answer:
4/3x
Step-by-step explanation:
the team is going to a race and can only enter 5 participants. what is the probability of randomly selecting a race squad of 5 participants with exactly 3 women? round your answer to three decimal places. enter your solution into variable
The probability that the squad will have exactly three women members is 0.389
Total number of people in CU Boulder triathlon = 21
Number of Men = 9
Number of Women = 12
We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.
Thus;
P(exactly 3 womens) = (12C3 * 9C2)/(21C5)
P(exactly 3 womens) =7920/1716
P(exactly 3 womens) = 0.389
Hence, the probability that the squad will have exactly three women members is 0.389
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a new car model is available with 5 choices of color, 3 choices of transmission and 4 types of interior. how many different variations of this model car are possible?
In 120 different variations of this model car are possible.
Define multiplication.One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.
Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests in addition, subtraction, multiplication, and division will be given. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.
Given,
There are five different ways to choose a car's color.
3 different car transmission selection options are available.
There are four different interior automobile selection options.
There are two different ways to pick a car's engine.
The potential number of car variations is thus:
Multiplying:
5 × 3 × 4× 2
120
In 120 different variations of this model car are possible.
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at a bowling alley, the cost of shoe rental is $2.25 and the cost per game is $4.25. if f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?
Answer:
The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y
Step-by-step explanation:
Shoe rental $2.25
Per game $4.25
Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be
f(n)=$2.25x+4.25
However if the question does not state how many games are being played i would say
f(n)= $2.25x+4.25y
Which of the following statements about the box-and-whisker plot below is true?
10 20 30
40
70 80 90 100 110 120 130 140 150
There are more data points in the upper two quartiles than in the lower two quartiles.
There are more data points inside the data box than are in the outside the data box.
The midrange of the data set shown is 85.
The midrange of the data set shown is 55.
50 60
The midrange of the data set shown is 85 is true about the box-and-whisker plot below. The middle is the number in question. The least and greatest values should be added together, divided by two, or, in other words, the mean of the least and biggest values should be determined.
How do you find the midrange on a box and whisker plot?It is also helpful to know the number that lies halfway between the data set's lowest and highest values. The middle is the number in question. The least and greatest values should be added together, divided by two, or, in other words, the mean of the least and biggest values should be determined.so,The midrange of the data set shown is 85midrange: Divide by two the sum of the highest and lowest values. 125 is the range. The middle number is 82.5.The difference between the greatest and smallest numbers called the range. The midpoint represents the mean between the largest and lowest number.To learn more about midrange refer to:
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PLS HELP!!!
30 = y/2 + 8
y = ____
Answer:
y = 44
Step-by-step explanation:
y = 300
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Steps are in the attached picture!
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Joke: What runs around a farm but doesn’t move?
Answer: A fence.
Have a great day and God bless! :D
How do you solve #22?
Find the unit rate. Round to the nearest hundredth, if necessary. $210 of 17 ft2
Can someone help me please it’s due today
The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.
What is a conversion factor?A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.
Conversion:
210 dollars = 17 square feet.
x dollar = 1 square feet.
Cross-multiplying, we have:
17x = 210
x = 210/17
x = 12.35 ≈ 12
Therefore, the unit rate is equal to 12.
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divide 50x4-50x3+12x2+10x-2 by 5x-3
Dividing 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 with the long division method will result to a quotient of 10x³ - 4x² + 2 and a remainder of 1.
Long division methodThe method of long division involves the following steps:
Divide.Multiply.Subtract.Bring down the next number and Repeat the process to end at zero or arrive at a remainder.We sall divide the 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 by applying the long division method as follows;
50x⁴ divided by 5x equals 10x³
5x - 3 multiplied by 10x³ equals 50x⁴ - 30x³
subtract 50x⁴ - 30x³ from 50x⁴ - 50x³ + 12x² + 10x - 2 will result to -20x³ + 12x² + 10x - 2.
This process is repeated until we have a remainder of 1.
Therefore, by the long division method, we have quotient of 10x³ - 4x² + 2 and a remainder of 1.
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Based on the scatterplot, which statements are true? Select TWO correct answers. The kitten should weigh between 22 oz and 24 oz on Day 24. The kitten should have weighed between 5 oz and 7 oz on Day 4. The kitten should have weighed between 7 oz and 9 oz on Day 8. The kitten should have weighed between 13 oz and 15 oz on Day 12. The kitten should have weighed between 12 oz and 14 oz on Day 19.
HELP ASAP!!
The correct statements regarding the scatter plot are given as follows:
The kitten should have weighed between 5 oz and 7 oz on Day 4.The kitten should have weighed between 7 oz and 9 oz on Day 8.For what the scatter plot is used?The scatter plot is used to give the points needed to build the linear regression equation relating the output variable of the vertical axis as a function of the input variable represented by the horizontal axis.
In the context of this problem, these points are given as follows:
(0, 4), (2, 5), (7,7), (9, 10), (14, 12), (15, 15), (21, 17).
Inserting these points into a linear regression calculator, the equation is listed as follows:
y = 0.6529x + 3.65758
On each day listed on the options, the predicted weights are given as follows:
Day 4: 0.6529(4) + 3.65758 = 6.7 oz.Day 8: 0.6529(8) + 3.65758 = 8.9 oz.Day 12: 0.6529(12) + 3.65758 = 11.5 oz.Day 19: 0.6529(19) + 3.65758 = 16 oz.Day 24: 0.6529(24) + 3.65758 = 19.3 oz.From these numeric values, the correct options are selected.
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
can someone help its easy but im lazy plssss
The equation which represents the price of the ticket after the discount is y = 0.25x.
What is a linear equation?A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that the movie theatre is giving a discount of 75% the original cost of the ticket is x and discounted cost is represented by the variable y.
The equation for the cost of the ticket will be written as,
y = x - 0.75x
y = 0.25x
The graph of the linear equation is attached with the answer below.
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In ΔTUV, m∠T = 58° and m∠U = 97°. Which list has the sides of ΔTUV in order from longest to shortest?
The sides of ΔTUV in order from longest to shortest is as follows -
TV > TU > VU
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is ΔTUV, m∠T = 58° and m∠U = 97°.
Refer to the image attached.
TV > VU
TU + VU > TV
TV > TU + VU
So we can arrange the sides as follows -
TV > TU > VU
Therefore, the sides of ΔTUV in order from longest to shortest is as follows -
TV > TU > VU
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x^2-36=0
solve by graphing
The solutions for the given equation is (6, -6). The graph for the given equation is plotted below.
The given equation is x²-36=0.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
We need to graph the given equation
x²-36=0
⇒ x²=36
⇒ x=±√36
⇒ x=±6
So, solution is (6, -6)
The graph for equation x²-36=0 is given below
The solutions for the given equation is (6, -6). The graph for the given equation is plotted below.
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a wooden cube nn units on a side is painted red on all six faces and then cut into n^3n 3 unit cubes. exactly one-fourth of the total number of faces of the unit cubes are red. what is nn?
After being painted red on all six faces, a hardwood cube with nn units on each side is chopped into n3n 3-unit cubes. The unit cubes have exactly one-fourth of their faces be red, therefore nn equals 4.
On each face of the large wooden cube, there are tiny faces that have been painted red.
There are few faces overall because each unit cube has faces.
Given that one-fourth of the little faces are red,
[tex]6n^2/6n^3[/tex] [tex]= 1/4[/tex]
[tex]1/n = 1/4[/tex]
[tex]N=4[/tex]
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What is the generator for the sequence: 1, 3, 9, 27, 81, ... *
O 2
O 4/3
O 8/3
O 3
Answer:
3
Step-by-step explanation:
what it means by generator is the continuance of the multiplication process so 1x3=3 and then 3x3=9 and so on.
Could anyone solve this please.
Answer:
135 degrees
Step-by-step explanation:
a triangle rule is sum of all three angles equal 180
We know one angle of the triangle angle is 45 degrees because of the corresponding angle below it
So we just subtract 45 from 180
180-45=135
hopes this helps please mark brainliest
What is greater 1 1/2 or 1.456
Answer:
KentuckyCriedChickens
an educational psychologist wanted to know the effects of four different methods of teaching arithmetic. using 12 classrooms, each method was used in the classes. at the end of the school year, all the pupils took the same achievement test, and the means for groups receiving different methods were compared. answer the following questions about the study. a. what was the dependent variable? b. what was the independent variable? c. what was a controlled variable? d. give an example of a parameter.
The dependent variable depends on a particular situation. The independent variable does depends on the result of an experiment. The controlled variable is a variable whose value is constant.
What is dependent variable?
The variable being measured or tested in an experiment is known as the dependent variable. The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.
What is independent variable?
This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. Tutoring would be the independent variable in the aforementioned case. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).
What is controlled variable?
Anything kept constant or constrained in a research study is referred to as a control variable. Despite not being relevant to the study's objectives, this variable is controlled because it might have an impact on the results.
Numbers called parameters are used to define the characteristics of entire populations. Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States.
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