m angle j= (2x+38° and m angle k=4x+26)​

M Angle J= (2x+38 And M Angle K=4x+26)

Answers

Answer 1

Answer:

m < I = 80°

m < J  = 50°

m < K = 50°

Step-by-step explanation:

Given the isoceles triangle, IJK, where:

m < J  = (2x + 38)°

m < K = (4x + 26)°

In order to solve for x, we can establish the following equality statement:

m < J = m < K

(2x + 38)° = (4x + 26)°

2x + 38 = 4x + 26

Subtract 2x from both sides:

2x - 2x + 38 = 4x - 2x + 26

Subtract 26 from both sides:

38 - 26 = 2x + 26 - 26

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

6 = x

Substitute the value of x into the equality statement:

m < J = m < K

(2x + 38)° = (4x + 26)°

2(6) + 38 = 4(6) + 26

12 + 38 = 24 + 26

50° = 50°

Therefore, m < J  = 50°, and m < K = 50°.  To find m < I:

m < I = 180° - (m < J + m < K)°

m < I = 180 - (50° + 50°)

m < I = 180° - 100°

m < I = 80°

Therefore, the correct answers are:

m < I = 80°

m < J  = 50°

m < K = 50°


Related Questions

8. In physical education class, Mai takes 10 free throws and 10 jump shots. She earns 1
point for each free throw she makes and 2 points for each jump shot she makes. The
greatest number of points that she can earn is 30.
a. Write an inequality to describe the constraints. Specify what each variable
represents. 100-30
b. Name one solution to the inequality and explain what it represents in that
situation.

Answers

An inequality to describe the constraints is x + 2y ≤ 30

What is inequality?

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than, or equal to, less than, or less than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.

Here, we have

Assume that a free throw is represented by f and that a Juli throw is represented by j.

We can then write an inequality equation as

10f + 10j = 30

Where 30 is the total number of points earned

F is the free throws made, in which each gives or earns one point

J is the jump shots made, in which each gives or earns two points.

Hence, an inequality to describe the constraints is x + 2y ≤ 30

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Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)

Answers

Answer:

(8.6)

Step-by-step explanation:

To find the x coordinate of the midpoint, find the average of the x coordinates

(x1+x2)/2  = (6+10)/2 = 16/2 = 8

To find the y coordinate of the midpoint, find the average of the y coordinates

(y1+y2)/2  = (8+4)/2 = 12/2 = 6

Answer:

(8,6)

Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>

What is the equation of the line with slope 1/2 and passing through the point at (1,2)

Answers

Answer:

y = 1/2x +3/2

Step-by-step explanation:

y = mx +b plug into this equation

m = 1/2 (slope)

2 = 1/2(1) +b and solve this equation

b = 3/2

equation: y = 1/2x +3/2

What is the first step in solving this equation?
3(2x+6) -4 = 2(5x-2) +6

Answers

Answer:

Distrubutative property

Step-by-step explanation:

6. 112 how big is the tip percentage at a restaurant? use technology and the restauranttips dataset to find a 95% confidence interval for the mean tip percentage (pcttip) at the restaurant. Interpret the answer in context

Answers

The 95% confidence interval for the mean tip percentage is (3.49, 4.22)

How to find confidence interval?

Confidence interval is the two-sided limit consisting of the lower limit and the upper limit and the value between the two limits is the parameter value.

For this question, we have given a graph of the data, so we only need to see the data and interpret that to answer the question.

First, since confidence interval is 95% so we must see 2.5% limit for two side or equal to 0.025.

For the lower limit, see upper value of dot plot then see separate lowest 0.025 of data is 3.491 or 3.49.

For the upper limit, see lower value of dot plot then see separate highest 0.025 of data is 4.224 or 4.22.

Thus, the 95% confidence interval is (3.49, 4.22) for the mean tip percentage.

Your question is incomplete, but most probably your full question was (image attached)

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6. 112 how big is the tip percentage at a restaurant? use technology and the restauranttips dataset to
6. 112 how big is the tip percentage at a restaurant? use technology and the restauranttips dataset to


Write an equation in slope-intercept form for the line described.
passes through (0,7), parallel to y=4 x-19

Answers

The equation in slope-intercept form for the line that passes through (-0,7), parallel to y = 4x-19 is y = 4x + 7.

The slope intercept form of a line is:-

y = mx + b

Where:-

m represents the slope of a line

b represents the y-intercept of a line

x and y represent the ordered pairs (x,y) throughout a line

We are given the line y = 4x-19 is parallel to the line whose equation we have to find.

Hence,

slope of the line = 4 = slope of the given line

Also, (0,7) passes through the line,

Hence,

7 = 4*(0) + b

7 = 0 + b

b = 7

Hence, the equation of the line in slope intercept form is y = 4x + 7.

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find the measure of ∠6 please help! answer and how to do it?

find the measure of 6 please help! answer and how to do it?

Answers

Answer:

56 degrees

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Opposite angles of two parallel lines formed by crossing by third line are equal

In the written exam in Math, there are 7
short answer questions. Peter will answer three of them.
How many combinations of short answer
questions are there?

Answers

Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.

To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where:

C(n, r) represents the number of combinations of choosing r items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers up to n.

In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)

Simplifying further:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

4! = 4 * 3 * 2 * 1

C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]

After canceling out common terms, we get:

C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.

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If z = -7, what is the value of (-8z) - z?

Answers

Answer:

63

Step-by-step explanation:

you will plug in -7 for both z's

(-8(-7) - (-7)

following PEMDAS you will do multiplication first

(-8(-7) = 56

now we have 56 - (-7)

since - and - make a positive it will be

56 + 7 = 63

Help I don’t have a clue ?

Help I dont have a clue ?

Answers

Answer: Yes

Step-by-step explanation:

Because she tested it more times, her results should (in theory) be more accurate, due to more tests leading to the results being more diverse. The results indicate that one side of the coin (the tails side) is more likely to land down, which leads the head side up.

Simplify: 1/4-1/5+ -3/4+1/8 A23/40 B-5/8 C 1/20 D 3/16

Answers

Answer:

A) is your answer = 23/40

Step-by-step explanation:

The value of the expression is -23/40.

None of the given option is correct.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A fractional expression,

1/4-1/5+ -3/4+1/8,

Simplifying,

(1/4 - 3/4) + 1/8 - 1/5,

= (-20 + 5 -8) / 40

= -23/40

Therefore, the correct value is -23/40.

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Which of the following are solutions to the equation below?
Check all that apply.
x2 - 10x+ 25 = 17
I A. X = 17-5
B. x = --58-5
c. x= - - _17-5
D. x= 177 +5
E. x = 18 +5
F. x= -17 +5

Answers

Answer:

The answer is letter F po

Step-by-step explanation:

Use the formula

(b2)2 in order to create a new term. Solve for x

by using this term to complete the square.

Exact Form:x=±√17+5

(3\%) Problem 16: A bicycle tire contains 1.2 liters of air at a gauge pressure of 5.4×105 Pa. The composition of air is about 78% nitrogen (N2​) and 21% oxygen (O2​, both diatomic molecules. How much more intemal energy, in joules, does the air in the bicycle tire have than an equivalent volume of air at atmospheric pressure and the at the same temperature?

Answers

The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T

To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.

The ideal gas law states:

PV = nRT

Where:

P = pressure

V = volume

n = number of moles of gas

R = ideal gas constant

T = temperature

Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:

P1 = n1RT

P2 = n2RT

The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.

To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:

ΔU = n1RT - n2RT

To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.

Composition: 78% nitrogen (N2) and 21% oxygen (O2)

Volume: 1.2 liters

Pressure: 5.4×10^5 Pa

We can assume that the temperature is constant.

Let's calculate the moles of each gas:

For nitrogen (N2):

n1 = 78% * V / Vm

= 0.78 * 1.2 L / 22.4 L/mol

≈ 0.0415 mol (rounded to four decimal places)

For oxygen (O2):

n2 = 21% * V / Vm

= 0.21 * 1.2 L / 22.4 L/mol

≈ 0.0113 mol (rounded to four decimal places)

Now, we can calculate the difference in internal energy:

ΔU = n1RT - n2RT

= (0.0415 mol) * R * T - (0.0113 mol) * R * T

= (0.0415 - 0.0113) mol * R * T

= 0.0302 mol * R * T

Since the temperature (T) is the same for both scenarios, we can simplify the equation to:

ΔU = 0.0302 mol * R * T

The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).

Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:

ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T

Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.

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Are 3.6 and 2.6 equivalent decimals? yes/no

Answers

Answer:

yes

Step-by-step explanation:

A student is assessing the correlation between the number of workers in a factory of and the number of units produced daily. The table shows the data:
Number of workers
(x)
10 20 30
50 60 70
80
Number of units
(y)
52 102 152 202 252 302 352 402 452
Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What do the slope and y-intercept of the plot indicate? (3 points)

Answers

The slope and y intercept of the line formed are 5 and 2 respectively .

How are the values from the table related?

Part A:

Yes. There is a correlation between the number of workers in a factory and the number of units produced daily.

Let us consider the coordinates \((x_{1},y_{1})\text{ and }(x_{2},y_{2})\) to be (10, 52) and (20, 102)

The slope = m

\(m =\frac{y _{2}-y_{1}}{x_{2}- x _{1}} \\\\=\frac{102-52}{20- 10} \\\\= \frac{50}{10} \\\\= 5\)

The value of slope = m = 5

The slope - intercept form of the equation is y = mx + b ----(1)

Let us find y intercept b (x = 0),

From the given table,

When x = 0 , y = 2

So ,b = 2

Substituting m = 5 and b =2 in the equation (1)

y = 5x + 2

Thus, there is a correlation between the number of workers in a factory and the number of units produced daily.

Part B :

Substituting m = 5 and b =2 in the equation (1)

y = 5x + 2

So,  y = 5x + 2 is the function that best fits the data.

Part C:

The slope = m = 5

Here, the slope indicates that the rate of change of number of units produced daily over the rate of change of number of workers.

The y - intercept is b = 2

The y - intercept indicates that the number of units produced daily by the number of workers.

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Select all of the coordinate pairs that are solutions to the equation: 3x−y=11

1. (−1,−14)
2. (4,4)
3. (7,9)
4. (5,4)
5. (8,13)

Answers

Answer:

4

..

..

..

..

.. good solution, good solution

help pls
how many solutions does the system of equations below have?
10x - 8y = -1
3x + 5y = -17

no solution
one solution
or infinitely many solutions?

Answers

The system of equations have one solution.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The system of equations

10x - 8y = -1...(1)

3x + 5y = -17..(2)

Multiply equation 1 with 3 and equation 2 with 10

30x-24y=-3..(3)

30x+50y=-170...(4)

Subtract equation 4 from equation 3

30x-24y-30x-50y=-3+170

-74y=167

Divide both sides by 74

y=2.25

Now plug in y value in equation 1

10x-8(2.25)=-1

10x-18=-1

10x=17

Divide both sides by 10

x=17/10

Hence, the system of equations have one solution.

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Please please help please

Please please help please

Answers

Yikes i dont know this but thanks for the coins C:

Answer this for brainilest and 30points (no links or internet answer or you will get flagged

Answer this for brainilest and 30points (no links or internet answer or you will get flagged

Answers

7h = -2h+ 18

Add 2h to both sides

9h = 18

Divide both sides by 9

H = 2

Answer:

h=2

Step-by-step explanation:

Let's solve your equation step-by-step.

7h=−2h+18

Step 1: Add 2h to both sides.

7h+2h=−2h+18+2h

9h=18

Step 2: Divide both sides by 9.

9h /9 = 18 /9

brainliest?

Increase 600 by 8⅓%.​

Answers

Answer:

650

Step-by-step explanation:

calculate 8 \(\frac{1}{3}\)% of 600 then add this value to 600 for increase

8 \(\frac{1}{3}\) % × 600 ← convert mixed number to improper fraction

= \(\frac{25}{3}\) % × 600

= \(\frac{\frac{25}{3} }{100}\) × 600 ( % is out of 100 )

= \(\frac{25}{300}\) × 600

= 25 × 2

= 50

then increase is 50

so 600 increased by 8 \(\frac{1}{3}\) % = 600 + 50 = 650

The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False

Answers

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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HELP!! LOOK AT THE PIC AND SOLVE IT.
HELP WILL BE APPRECIATED

HELP!! LOOK AT THE PIC AND SOLVE IT. HELP WILL BE APPRECIATED

Answers

Answer:

a. the difference in lengths of the two pieces of carpet is 1.1m

b. total length of the carpet put together is 8.1m

Step-by-step explanation:

⇒ One piece of carpet is 3.5m long             (given)

⇒ Another piece of carpet is 4.6m long       (given)

a. What is the difference in lengths of the two pieces of carpet?

⇒ difference means subtract

⇒ 4.6m - 3.5m = 1.1m

b. Simon lays the two pieces of carpet together, end to end, What is the total length of the carpet?

⇒ total length means addition

⇒ 4.6m + 3.5m = 8.1m

How many 3 digit numbers are there which leave a reminder 2 and division 7 ​

Answers

Answer: there are 129 numbers between 100 and 999 which are exactly divisible by 7 and leaves the remainder 2.

Step-by-step explanation:

Compare the properties of the function f(x) = 2x2 + 4x + 5 to the function given by the table. Which statements are correct?

Answers

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

Question is in picture below ​

Question is in picture below

Answers

Answer:

\( \frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}\)

A. is the right answer.

hope this helps.

use the intermediate value theorem to show that the polynomial has a real zero between the given integers? f(x)= x^3-x-4; between 1 and 7.

Answers

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?

Answers

The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.

Let's understand why?

Explanation:

An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.

This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.

The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.

Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.

Hence, the statement is true.

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I need help with it i don’t know how to do it

I need help with it i dont know how to do it

Answers

Answer:

What do you mean? Like you need to specify your question...

Step-by-step explanation:

what do you mean by that?

List the first five terms of the sequence: \[ a_{1}=27 \quad d=-5 \]

Answers

The first five terms of the sequence are 27, 22, 17, 12, and 7.

To find the first five terms of the sequence given by a₁=27 and d=-5,

we can use the formula for the nth term of an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

Substituting the given values, we have:

\(a_n=27+(n-1)(-5)\)

Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:

\(a_1=27+(1-1)(-5)=27\)

\(a_1=27+(2-1)(-5)=22\)

\(a_1=27+(3-1)(-5)=17\)

\(a_1=27+(4-1)(-5)=12\)

\(a_1=27+(5-1)(-5)=7\)

Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.

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A company sold 123 mobile phones for ₹ 8000 each. With the same money, 48 music systems were bought. Find the cost of one music system.

Answers

Answer:

Step-by-step explanation:

123 X 8000 = 984000

984000/48 = 20500(PUT EURO SIGN)

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