Given line x is parallel to line y and m∠2 = 23°. What is m∠7? 23° 67° 157°

Answer: Straight lines in standard form y = mx + c has gradient m and y-intercept c. So y = 2x + 5 has gradient 2. So any line of gradient − 1 2 will be perpendicular to this line, ie. any line of form y = − 1 2 x + c

Step-by-step explanation:

Step-by-step explanation:

Perpendicular (p) = a

base (b) = 6

tan 45° = p/b

1 = a / 6

Cross multiply

a = 6

Hope it will help :)

The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

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Given the translation T = (-5, 1), the point is moved:

The four translation rules are defined as follows:

The equivalent notation of the vector notation T= (-5, 1) is given as follows:

(x,y) -> (x - 5, y + 1).

Hence the effect of the translation is given as follows:

The complete problem is:

"Given the translationT=(-5 1 ), a point will be moved how many units vertically and horizontally?"

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Answer:

$16.28

Step-by-step explanation:

44.%

Move the decimal up by two numbers to get a whole number, .44

and multiply .44 by $37

Answer:

Step-by-step explanation:

the answer is a)

Answer:

Is there a picture?

Step-by-step explanation:

We can argue that the Pardoner is a good preacher and not a good person because he is very effective in convincing people of the things he says.

This matters to others because it leads to them doubting his authenticity.

In the Canterbury Tales, the Pardoner goes around selling official Church pardons to people that he berates for being sinful. The pardons will then be used to absolve them of their sins.

The Pardoner is an effective preacher because he actually convinces people that they are sinners. He is not a good person because he berates people only to make profit from them as well as trying to swindle them of other possessions.

This mattered to the others who doubted his authenticity because they believed he was simply telling them stories to sell them things.

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The amount that Damian would need to pay in studio fees if he needed to use the studio for 4.5 hours is of:

$687.50.

To obtain the amount that Damian has to pay, a linear function has to be defined, in slope-intercept format, as follows:

y = mx + b.

In which the coefficients are described as follows:

Two points on the table are given as follows:

(2,500) and (8, 950).

Given two points, the slope is calculated as the division of the change in y by the change in x, hence:

m = (950 - 500)/(8 - 2) = 75.

Hence:

y = 75x + b

When x = 2, y = 500, hence the intercept b is obtained as follows:

500 = 75(2) + b

b = 350.

Then

y = 75x + 350.

The cost for a rent of 4.5 hours is given as follows:

y = 75(4.5) + 350 = $687.50.

The table is given by the image shown at the end of the answer.

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The value of y = 12.

Given,

m ∠ABC = 40° and BD is the angle bisector of ∠ABC.

To find the value of y=?

Now, According to the figure,

For value x, (Adjacent angles)

3x - 1 = 34 - 2x

3x + 2x = 34 +1

5x = 35

x = 7

And, For value of y ,

A and C are altitude

3y +6 =  5y - 18

3y - 5y = -18 - 6

-2y = -24

y = 12

Hence, The value of y = 12.

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Answer:mj,bhvb n

mnbnmb mbnmbnb

Step-by-step explanation:

Answer:

4 es esa ????k nose

Answer: Y = 7/2x -5

Step-by-step explanation:

slope intercept equation:

y = mx + b

plug in what you are given

y = (7/2)x (-5)

If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .

A Random Variable is a defined as a variable whose value depends on the outcome of a random event.

Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.

Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.

Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So,  it is a fixed value and not a random variable.

Therefore , The mean of the sample data will be a random variable .

The given question is incomplete , the complete question is

Suppose you take a sample of 50 students from your school and measure their height.  Which one of the following is a random variable?

(a) The true mean height of all students from your school.

(b) The mean of the sampling distribution of mean heights for samples of size 50.

(c) The mean of the sample data.

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Answer:

UV = 40

UY = 40

Step-by-step explanation:

The sides in YXWVU are the same as the ones in GHIJK times 10.

UV = KJ*10

UY = KG*10

Answer:

1 1/2 hours

Step-by-step explanation:

To determine the time she would spend on 6 applicants, multiply the time she spends on each applicant by the total number of applicants

1/4 x 6 = 6/4 = 1 2/4 hours

to convert to its simplest form, divide both numerator and denominator by 2. this gives 1 1/2 hours

Another method

Add 1/4 six times

1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 6/4 = 1 2/4 = 1 1/2 hours

Answer:

for me it is a circle

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a trick question,  about the red marks again.   those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same.  That is  ,  D and E are equal

so set up your equations with that info

180 = 84 +2p

now use your algebra skillz to solve

180-84 / 2 = p

96/2 = p

48 = p

see??

Answer:

-30 5/6

Step-by-step explanation:

You are adding two negative numbers, so add their absolute values and make the answer negative.

-28 1/3 + (-2 1/2) =

= -(28 1/3 + 2 1/2)

We add the absolute values 28 1/3 and 2 1/2. We need a common denominator for the fractions. The LCD of 2 and 3 is 6.

= -(28 + 2 + 1/3 + 1/2)

= -(30 + 2/6 + 3/5)

= -(30 5/6)

= -30 5/6

For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

and the line equation will be:

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

and the line equation will be:

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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Answer:

(I assume you are referring to a cone with a height (h) of 16 feet and a radius (r) of 12 feet.)

To find the various parts of the cone, we can use the following formulas:

Radius: r = 12 feet

Height: h = 16 feet

Slant height: s = sqrt(r^2 + h^2) = sqrt(12^2 + 16^2) = 20 feet

Base circumference: C = 2πr = 2π(12) ≈ 75.4 feet

Base area: B = πr^2 ≈ 452.4 square feet

Lateral area: LA = πrs ≈ 753.9 square feet

Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet

Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet

Therefore, the various parts of the cone are:

Radius: r = 12 feet

Height: h = 16 feet

Slant height: s = 20 feet

Base circumference: C = 2πr ≈ 75.4 feet

Base area: B = πr^2 ≈ 452.4 square feet

Lateral area: LA = πrs ≈ 753.9 square feet

Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet

Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet

Note: The values for C, B, LA, SA, and V are approximations and may be rounded to the nearest tenth or hundredth depending on the required level of accuracy.

Answer: 1/5, .2, and or 20%

Step-by-step explanation:

The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening

Answer:

14 cm

Step-by-step explanation:

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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If Armer Brown used and equal number of each bag then there will be 21 bags.

What is algebraic expression?

When we use numbers and words to solve a mathematical problem, we are using algebraic expressions.

Let's say that Armer Brown used x bags holding 20 oranges, y bags holding 10 oranges, and z bags holding 5 oranges. We know that he harvested 245 oranges, so we can write an equation:

20x + 10y + 5z = 245

We also know that he used an equal number of each bag, so we can write another equation:

x = y = z

We can use the second equation to substitute y and z with x:

20x + 10x + 5x = 245

Simplifying this equation, we get:

35x = 245

Dividing both sides by 35, we get:

x = 7

So he used 7 bags holding 20 oranges, 7 bags holding 10 oranges, and 7 bags holding 5 oranges.

In total, he used: 7 + 7 + 7 = 21 bags.

Therefore, There will be 21 bags.

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Answer:

30x-45+60x+15

collect like terms

-45+15+30x+60x

=-30+90x

divide both sides by -30

-30x/-30 =90/-30

x=-3

Considering the situation described of the sack, and that the ball was originally at the 31 yard line, the ball ends up at the 21 yard line.

We have to consider a few things.

Researching this problem on the internet, we found that originally the team had the ball at their own 31 yard line, that is, on the defense. 10 yards back from that is the 21 yard line, hence, after the sack, the ball ends up at the 21 yard line.

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To solve this equation, we need to apply the rules of logarithms. First, we can simplify the expression by using the power rule of logarithms:

5 ln[(x+2)^5] + 1/2 ln(x) - 2 ln[(x+1)(x+2)]
= ln[x^5(x+2)^25 * x^(1/2) / (x+1)^2(x+2)^2]
Now, we can simplify the expression under the natural logarithm by combining like terms:
= ln[x^(11/2)(x+2)^23 / (x+1)^2(x+2)^2]
Finally, we can use the logarithmic property of exponentials to rewrite the expression in exponential form:
x^(11/2)(x+2)^23 / (x+1)^2(x+2)^2 = e^[ln(x^(11/2)(x+2)^23) - ln(x+1)^2(x+2)^2]
= e^[11/2 ln(x) + 23 ln(x+2) - 2 ln(x+1) - 2 ln(x+2)]

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The principal sum refers to the amount payable in one sum in the case of accidental death and, in some cases, accidental dismemberment.

The amount paid in the case of accident or medical insurance in the event that the insured person dies, loses a limb, or loses sight is known to be as principal sum. It means that the principal sum amount is the maximum amount paid to the insured person for all injuries resulting from the accident.

Thus, the principal sum is the amount insured to be paid by the company to the beneficiary in the case of the insured individual's accidental death as well as in the loss of limb or sight.

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