What is the measure of angle A in this triangle?

Enter your answer in the box.
​ m∠A= ​

What Is The Measure Of Angle A In This Triangle?Enter Your Answer In The Box. MA=

Answers

Answer 1

The measure of angle A in this triangle is 50°.

How to calculate the angle?

It is important to note that a triangle has three sides and the total angle is 180°.

Therefore A = 2x - 10

B = 70

C = x + 30

The angles will be illustrated thus:

2x - 10 + 70 + x + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

Divide

x = 90/3

x = 30

Therefore A will be:

= 2x - 10

= 2(30) - 10

= 60 - 10

= 50°

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Related Questions

when 500 phone books are recycled, which of the following statements is false? a. conserves around 9 cubic yards in landfill space b. conserves around 17-31 trees c. conserves around 4,077 kilowatt hours of energy d. conserves around 463 gallons of oil please select the best answer from the choices provided

Answers

The false statement out of given four option is (a)conserves around 9 cubic yards in landfill space.

What is area ?

Area is characterized as the complete space taken up by a level (2-D) surface or state of an item. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Region. Presently, envision your square is comprised of more modest unit squares

According to question:

That's what first explanation expresses "conserves around 9 cubic yards in landfill space "

Yet, here unit of landfill space is off-base. Since landfill space is an amount that in every case express in region. Unit of region in the proclamation articulation ought to be square yards not cubic yards

The excess amounts units are reliable with what they address.

Subsequently, When 500 telephone directories are reused, then, at that point,  false statement is option  (a) Monitors around 9 cubic yards in landfill space.

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mia has a certain amount of money. if she buys $4$ pens and $1$ pencil, she will have $\$5$ left over. if she buys $2$ pens and $2$ pencils, she will have $\$3$ left over. if edward arrives with the same amount of money as mia, together they can buy $7$ pens and $4$ pencils and spend all their money. if $a$ is the cost of one pen and $b$ is the cost of one pencil, compute the ordered pair $(a,b)$.

Answers

If 2 is the cost of one pen and 6 is the cost of one pencil, compute the ordered pair (2,6)

When Mia buys 4 pens and 1 pencil, she has $5 left; the number of dollars she starts with is 4a+b+5.

When she buys 2 pens and 2 pencils, she has $3 left; the number of dollars she starts with is 2a+2b+3.

Since those two expressions represent the same number, set them equal to each other and simplify to get an equation in a and b.

4a+b+5=2a+2b+3

2a-b=-2 [1]

They can purchase 7 pens and 4 pencils with their entire budget if Edward shows up with the same amount of money that Mia did.

The two of them have twice as much money as Mia did in the beginning, and they can buy 7 pens and 4 pencils with the money they have left over. To get a second equation in a and b, write an equation that says that and simplify it.

7a+4b = 8a+2b+10

a-2b=-10 [2]

solving both the equations 1 and 2:

2a-b = -2 - [1]

a-2b = -10 -[2]

a = 2 , b= 6

if 2 is the cost of one pen and 6 is the cost of one pencil, compute the ordered pair (2,6)

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Answer is actually 1420

Answers

What is that answer for

Answer:

1420

Step-by-step explanation:

its in the question

if the null hypothesis is true, what value is expected on average for the repeated-measures t statistic?

Answers

A repeated-measures test's null hypothesis is that the population as a whole will have a mean difference of μD = 0.

What is Null Hypothesis?

In probability and statistics, the null hypothesis is a comprehensive statement or default status that there is zero happening or nothing happening.

The t statistic is calculated from the difference between the sample parameter in question and the value of the corresponding population parameter assumed under the null hypothesis. If the hypothesis is true, the difference between the values (and the corresponding t statistic) is expected to be zero.

A repeated-measures test's null hypothesis is that the population as a whole will have a mean difference of μD = 0.

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i need help asap!! this is due soon!!!

What is the inequality notation of this equation??
(-∞,3)∪(5,∞)

Answers

Answer:

Interval notation to inequality notation

what is 24+70 equals

Answers

94, 24 + 70 equals 94.
When you add 24+70 it will equal to 94.

if anyone can help me that would be great pleasee click image to see

Answers

1) The equation of a line passing through the point (5, 9) in point slope form is;  (y - 9) = 3(x - 5)

2) The equation that is parallel and passing through (0, 4) is; y = ¹/₂x + 4

3) The equation of the line parallel to y - 7 = 7(x - 3) and passing through the point (4, 2) is; (y - 2) = 7(x - 4)

4) Thus, the equation of the line parallel to y = -7x - 2and passing through (-9, -12) is; y = -7x - 75

How to find the equation of a line in slope intercept form?

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

1) We are given the equation of a line as;

y = 3x + 5

where;

slope = 3

y-intercept = 5

Thus, the equation of a line passing through the point (5, 9) in point slope form is;

(y - y₁) = m(x - x₁)

Thus; (y - 9) = 3(x - 5)

2) Equation of a line is given as;

y = (1/2)x

Thus, the equation that is parallel and passing through (0, 4) is;

y - 4 = (1/2)(x - 0)

y - 4 = ¹/₂x

y = ¹/₂x + 4

3) We are given the equation;

y - 7 = 7(x - 3)

y - 7 = 7x - 21

y = 7x - 14

Thus, equation of the line passing through the point (4, 2) is;

(y - 2) = 7(x - 4)

4) We are given the equation;

y = -7x - 2

Thus, the equation of the line parallel and passing through (-9, -12) is;

y + 12 = -7(x + 9)

y = -7x - 63 - 12

y = -7x - 75

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If 1 pound = 16 ounces, how many pounds are in 435 ounces?

Answers

Answer: 27.1875 pounds

Step-by-step explanation:

To find out how many pounds are in 435 ounces, we need to divide the number of ounces by the number of ounces per pound. Since 1 pound is equal to 16 ounces, we can divide 435 ounces by 16 ounces per pound to get the number of pounds. This gives us 435 ounces / 16 ounces/pound = 27.1875 pounds.

Therefore, there are approximately 27.1875 pounds in 435 ounces.

Answer:

27.1875 pounds

Step-by-step explanation:

1 pound = 16 ounces,

x pounds = 435 ounces

x = 435 ounces * 1 pound / 16 ounces

x = 27.1875 pounds

Helpppppp!!!!!!!!!!!!!!!!!!!!!

Exercise 6. A quadrangular pyramid has a rectangular base of dimensions 6 cm and 8 cm and height 12 cm. a) Draw the lateral edges of the pyramid; b) Calculate the volume of the pyramid; c) Calculate the total surface area of ​​the pyramid

Answers

Answer:

Step-by-step explanation:

how many pounds does a 1.98 liter bottle of water weigh on earth? (ignore the weight of the empty plastic bottle, and assume 3 significant digits).

Answers

The amount of 198 liters of water weights 4.45 Pound force on the earth.

The density of the water is 1 kg/L.

It means that 1 L of water has 1 kg of water.

So, we can write,

1 liter water = 1 kg water

1.98 liters water = 1.98 kg water.

So, the mass of the water is 1.98 kg.

The weight of a body is given as,

W = Mg

Where,

M is mass of the body and g is the gravitational acceleation,

putting values to find the weight of 1.98 L of water,

W = 1.98 x 10

W = 19.8N.

Converting it into Pounds,

W = 4.45 Pounds force.

Hence, the weight of 1.98 liters of water on earth surface is 4.45 Pound force.

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Given: -7x < -21. Choose the solution set. {x | x < 3} {x | x > 3} {x | x < -3} {x | x > -3}.

Answers

The solution set of the given inequality -7x < -21 is {x | x > 3}.

Define the term inequality?In mathematics, "inequality" refers to a relationship involving two variables or values that aren't even equal to one another.Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare different values in inequality. Less than (and less than and equal to), greater than (and greater or equal to), or just not equal to signs are used in place of the equal sign.

For the stated question-

The given inequality is-

-7x < -21

Dividing both side by -1 will change the direction of the sign.

7x > 21

Now, divide both side by 7

7x/7 > 21/7

x > 3 (solution set)

Thus, the solution set of the given inequality -7x < -21 is {x | x > 3}.

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Write a polynomial function with rational coefficients so that P(x)=0 p open x close equals 0 has the given roots.
7 and 12

Answers

Answer:

p(x)=x^2 -17 x + 84

Step-by-step explanation:

p(x)=(x-7)(x-12)

 = x^2-17x+84

A coin is flipped 8 times. find the probability of the event: exactly 6 heads a. 0.4375 b. 0.75 c. 0.0039 d. 0.109

Answers

The correct option d. 0.109, for the probability of the event: exactly 6 heads out of 8.

Describe the term binomial distribution?The possibility that a value would take one of 2 independent values given a particular combination of factors or assumptions is captured by the statistical distribution known as the binomial distribution.

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The probability of getting one head = 1/2.

p = 0.5.

Thus, the probability of getting one tail = 1/2

q = 0.5

Thus, for exactly 6 heads

P(X = 6) =  ⁸C₆. (0.5)⁶ (0.5)²

P(X = 6) = 0.109

Thus, the probability of the event: exactly 6 heads on flipping coin 8 times is 0.109.

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If I drive at ......... miles per hour, my journey will take ......... hours.
How long will my journey take if I drive at ......... miles per hour?

Answers

Answer:

Step-by-step explanation: 70 2.5 60

If marbles cost $48 per doz, how many marbles can be bought with $140?​

Answers

Answer:

2.91666667 dozen marbles can be purchased.

Step-by-step explanation:

To get this answer, you divide $140, by how much it costs per dozen, so $48.

Thus, you can purchase 2.91666667 dozen marbles, with $140.

What is the equation of a line perpendicular to 3x+ 4y =12and passes thru the point (3,2)? Write the equation in slope-intercept form (y=mx+b)

Answers

Answer: 3y= 4x-6

Step-by-step explanation:

  given line = 4y= -3x+12

            slope= -3/4

           so the perpendicular lines slope will be 4/3

               new line  = y = (4/3)x+c

                            ==>    2 = (4/3)3+c

                           ==>   2 = 4+c

                           ==> c= -2

                          3y= 4x-6

Answer:

y=4/3X -2

Step-by-step explanation:

4y=12-3X

divide both sides by4

y=-3x/4 +3

m1×m2= -1

m1= -3/4

-3/4× m2=-1

m2=4/3

Gradient is now=4/3

m= y -y1/x-x1

4/3= y-2/x-3

3y - 6= 4x - 12

3y= 4x - 12 +6

3y= 4x -6

divide both sides by 3

y =4/3x - 2

10. Kenji calculated that he needed to
eat about 2000 calories per day
based on his weight, age, and
activity level. For lunch, he ate a
hamburger that had 538 calories.
What percent of Kenji's daily
calorie needs does this hamburger
represent? Show your thinking.

Answers

Answer:

26.9%

Step-by-step explanation:

538/2000 =  0.269

Multiply this by 100 to get the percentage

= 26.9%

on the 6th grade arithmetic test, the average score was 94! which of these interpretations is the most likely to be correct?

Answers

More students received a 94 than any other score on the test. So, option B is the correct answer.

The mode of any given data set is the value that occurs in the given data set the most. This is that one value that occurs more than any other value in any given data set. From the given problem, we can easily understand that 94 is the mode of the set since it is the average score. This means that more students received a 94 than any other score on the test.

The first option is not the correct answer because we have not been told that 99 was the highest score on the test. We have also not been told no student scored below 50 or that a score of 91 was slightly below average.

This means option B is the correct answer.

The question you might be looking for is -

The mode score on the 6th-grade math test was 94! Which of these interpretations must be correct?

a. 99 was the highest score on the test.

b. More students received a 94 than any other score

c. No student scored below a 50

d. A score of 91 was slightly below average.

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If you have 20$ and each cup on lemonade that your selling is $0.75 and you already made $20 how many cups to make $100

Answers

you need to sell 134 cups of lemonade to make $100 in total

since you already have $20, = 27 cups

then subtract: 134-27 = 107 cups

hope this helped!

calories in school lunches: a university of florida economist conducted a study of virginia elementary school lunch menus. during the state-mandated testing period, school lunches averaged 863 calories. (national bureau of economic research, november 2002.) the economist claimed that after the testing period end, the average caloric content of virginia school lunches dropped significantly.. Set up the null and alternative hypothesis to test the economist's claim

Answers

The  null and alternative hypothesis test the economist's claim is-

H₀: u = 863 ,H₁: u < 863

What is hypothesis test?

A applied math hypothesis test may be a technique of applied math abstract thought accustomed decide whether or not the info at hand sufficiently support a selected hypothesis. Hypothesis testing permits us to create probabilistic statements regarding population parameters.

Main body:

Let ц =average calories of virginia school lunches

The average calories in the school lunch is 863

Here the economists claims that after the testing period ends, the average caloric content in the lunches were dropped

The null hypothesis is H₀ц = 863

Means H₀ ;The average caloric content in the school lunch is 863

The alternative hypothesis is H₁ц <863

Hence , H₁; the average caloric content in the lunches was dropped.

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Solve the equation

4 2/5 + k = -3 2/11


K=?

Answers

In fractional form, the answer is 397/55 and in decimal form it is 7.2181.

The equation can be written as 22/5+k= -31/11

transferring 22/5 to the R.H.S., the sign will turn negative.

thus, k=-31/11-22/5

Further solving the equation by taking L.C.M. of 11 and 5 which comes to 55,

k=(155+242)/55

we get the value of k= 397/55

If we convert the given value of k into decimal, it can also be written as, 7.2181.

Thus, the value of k can b expressed in both numerical and fractional forms.

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calculate a two-sided 95% confidence interval for true average degree of polymerization. (round your answers to two decimal places.)

Answers

95% confidence interval for true average degree of polymerization is  [430.87 ; 446.07] and this interval suggest that 441 is a plausible value for true average degree of polymerization and also this interval does not suggest that 451 is a plausible value.

Given :

Sample = [ 418, 421, 421, 422, 425, 428, 431, 435, 437,  438, 445, 447, 448, 453, 458, 462, 465 ]95% confidence interval.

The total number of values given is, n = 17

Mean, μ₀ = 438.47

Standard Deviation, σ = 14.79

The normal distribution is given by: N (438.47 ; 14.79)

If Cl  is 95% then  is 5% and  is 2.5%

α/2 = 0.025

Now, use t-statistics distribution with (n -1) degree of freedom

                         df = 16

So, the t score for 0.025 and 16 s from t-table 2.120.

CI = [ μ₀ ± [tex]t_{\alpha /2}[/tex] ; (n-1) × σ/ √n]

⇒ CI = [μ₀ ± 2.120 × 14.79/√17

⇒ CI = [ μ₀ ± 7.60]

⇒ CI = 430.87 ; 446.07]

Yes, the interval suggests that 441 is a plausible value for true average degree of polymerization.

No, the interval does not suggest that 451 is a plausible value.

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help me i need it bad

Answers

Answer:

36

I looked it up on

the number line shows point m at 15,490 rounded to the nearest thousand?

Answers

Answer:

I can't see the number line, but I'll say 15,000

The solution is, 15000 when 15,490 rounded to the nearest thousand.

What is round off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

given that, 15,490

now, we have to rounded to the nearest thousand.

we get, 490 < 500

so, it is 15000

Hence, The solution is, 15000 when 15,490 rounded to the nearest thousand.

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A bicycle is traveling at a constant speed of 15 miles per hour. The total distance the bicycle travels can be found using the equation: d=15h

Answers

The time that it takes for a ride of 24 miles is given as follows:

1.6 hours.

How to obtain the numeric value of a function or of an expression?

To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the desired numeric value.

The distance in this problem is given as the multiplication of the velocity of 15 miles per hour and the time in hours, as follows:

d = 15h.

The variable h can be isolated, thus giving the time in hours for a distance of d miles, as follows:

h = d/15.

The time for a distance of 24 miles is obtained replacing the lone instance of d by 24, as follows:

h = 22

d = 1.6 hours.

Missing Information

The problem asks for the time for a distance of 24 miles.

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a newsletter publisher believes that more than 52% of their readers own a personal computer. is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.

Answers

The null hypothesis states that the probability of reader has personal computer is 0.52 whereas alternative hypothesis states opposite

Its given that

The probability that readers has a personal computer = 0.52

The null hypotheses is that the proportion of readers who own a personal computer is equal to 0.53

Null hypotheses = H₀: p = 0.55

The alternate hypotheses is that the proportion of readers who own a personal computer is not equal to 0.55

Alternate hypotheses = H₁: p ≠ 0.55

Determine the  type of test:

Since the alternate hypothesis states that the proportion of readers who own a personal computer is different, therefore it is a two-tailed test.

To determine the z-score,

Given level of significance : ∝ = 0.05

So, the z-score at 0.05

Z-score = 1.960 (two tailed)

We Reject H₀ if Z > 1.960

And we accept H₀ if Z < 1.960

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Help me please
answers:
1
0
-1

Answers

Answer:

Step-by-step explanation:

Using ( 0,0) and (1,1 ). the slope is 1 and the y intercept is 0 because the line cuts the y axis at the origin. The equation of the line is y=1x

If r=[2,1] and s=[-3,2] calculate 2r-3s

Answers

Answer: -5,4

Step-by-step explanation:

2,1 x 2 = 4,2

-3,2 x 3 = -9,6

-9,6

- 4,2 = -5,4

Clearly, show all working on Folder Leaves. I 1. The area of a trapezium, A, is given by the formula A = (a+b)÷2 h, where a and b are the lengths of the parallel sides and h is the perpendicular height. a) Apply the necessary operations to make side 'b' the subject.​

Answers

Making b the subject in the formula for area of a trapezium, A, given by A = (a+b)÷2 h is found to be b = 2A/h - a

How to write the expression in terms o f b

The given expression for area of trapezium is A = (a+b)÷2*h

b is solved for as follows

A = (a+b)÷2*h

A = h * (a+b)/2

divide through by h

A/h = (a+b)/2

multiply through by 2

2A/h = (a + b)

2A/h = a + b

b = 2A/h - a

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consider a function z(x, y) and its partial derivative (∂z/∂y)x. can this partial derivative still be a function of x?

Answers

A function z(x, y) and its partial derivative (∂z/∂y)x is aslo a function.

Function:

In set math, function refers an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)

Given,

Consider a function z(x, y) and its partial derivative (∂z/∂y)x.

Here we need to identify that the partial derivative still be a function of x.

In order to find the solution for this function, we must know the definition of partial derivative,

The definition of partial derivative is, "partial derivative of any function having several variables is its derivative with respect to one of those variables where the others are held constant."

Here the partial derivative of a function f with respect to the differently x is variously denoted by f’x, fx, ∂xf or ∂f/∂x.

The symbol ∂ is partial derivative.

So, as per the definition of the partial derivative, the given partial derivative  (∂z/∂y)x is also a function.

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