What is the value of the angle marked with 2?

Step-by-step explanation:

1. prove congruency

\(75 = (8x - 5) \: ( the \: angles \: are \: equal \: proven \: from \: congruency)\\ 75 + 5 = 8x \\ 80 = 8x \\ x = 10\)

Remember that for this to work prove congruency first

Answer:

\(4\frac{19}{24}\)

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

\(K + \frac{1}{3} = 5\frac{1}{8}\)

Next thing to to is subtract 1/3 from both sides to get:

\(K = 5\frac{1}{8} - \frac{1}{3}\)

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

\(K = 5\frac{3}{24}\)\(-\frac{8}{24}\)

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = \(\frac{123}{24}\)\(-\frac{8}{24}\)

Finally, you subtract 123 over 24 by 8 over 24.

K = \(\frac{123}{24} - \frac{8}{24} = \frac{115}{24}\)

Then just simplfy the 115/24 to get

\(4\frac{19}{24}\)

Approximately 16.28 cm

1) We can sketch out this triangle to better figure out:

2) So now, let's resort to the Pythagorean Relation:

Note that the hypotenuse is always on the left, in the Pythagorean Theorem.

Answer:

Not enough info

Step-by-step explanation:

Volume of cone formula is: V = 1/3 π r²h

You did not give the radius so it is not possible to find the solution

If radius is given, isolate h by dividing the V by 1/3 π r²

Then simplify the left side of the equation and that is what h is

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

I think it's A or B

Step-by-step explanation:

Answer: 3,000

Step-by-step explanation:

Apply= 10,000

University Accept= 10,000*60% = 6,000

Enroll= 6,000*50% = 3,000

Answer:

x=4.321928

Here’s your explanation

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

2^x=20

Solve Exponent.

2^x=20

log(2^x)=log(20) (Take log of both sides)

x*(log(2))=log(20)
x=log(20)

log(2)

Then you get your answer x=4.321928

Step-by-step explanation:

Take the log of both sides:

log2(2^x) = log2(20)

xlog2(2) = log2(20)

x(1) = log2(20)

x = log2(20) ≈ 4.322

Answer:divideing by the whole number

Step-by-step explanation:

Answer: b. 2.3p - 10.1 = 6.49p - 4

c. 230p - 1010 = 650p - 400 - p

Step-by-step explanation: edge :)

The equation which have the same solution as \(2.3p-10.1=6.5p-4-0.01p\) is \(230p-1010=650p-400-p\).

The expressions that are the same, even though they looks different. But if the values are plugged in the expression, both the expressions give the same result are called equivalent expressions.

According to the given question

We have an expression

\(2.3p-10.1=6.5p-4-0.01p\)

Therefore the equivalent expression of the above expression is given by

⇒ \(\frac{23}{10}p-\frac{101}{10}=\frac{65}{10}p-4-\frac{1}{100}p\)

⇒\(\frac{23p-101}{10} =\frac{650p-400-p}{100}\)

⇒\(230p-1010=650p-400-p\)

Hence, the equation which have the same solution as \(2.3p-10.1=6.5p-4-0.01p\) is \(230p-1010=650p-400-p\).

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Answer:

$22,000

Step-by-step explanation:

9 percent of 40000 is 3600

it depreciates for 5 years so times 5 which gives us 18000

now subtract this amount from its original value and you get 22,000

The value of (n / (n - 1)) is equal to n. This means that the expression (n / (n - 1)) simplifies to n.

To calculate the value of (n / (n - 1)), we need to substitute n into the expression and simplify it. Let's substitute n into the expression:

(n / (n - 1)) = n / (n - 1).

To simplify this expression, we can multiply both the numerator and denominator by the conjugate of the denominator, which is (n - 1):

(n / (n - 1)) = (n / (n - 1)) * ((n - 1) / (n - 1)).

By multiplying these terms, we get:

(n / (n - 1)) = (n * (n - 1)) / ((n - 1) * (n - 1)).

Simplifying further, we have:

n / (n - 1)) = (\(n^{2}\) - n) / (\(n^{2}\) - 2n + 1).

Since the numerator (\(n^{2}\) - n) is not divisible by the denominator (\(n^{2}\) - 2n + 1), we cannot simplify the expression any further. Therefore, the value of (n / (n - 1)) is simply n. In other words, the expression (n / (n - 1)) is equivalent to n.

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Answer:

263 degrees......... ........

Step-by-step explanation:

263 is the answer.

Answer:

72-30=42 and

30-72= -42

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

11 = 1/2x + 8

-> Move 8 to left side

11 - 8 = 1/2x

3 = 1/2x

->We can switch sides so 1/2x is on the left and 3 is on the right

1/2x = 3

x = 3 x 2/1

x = 6

Answer:

x=6

Step-by-step explanation:

11=1/2x+8

subtract 8 from both sides first.

11-8=1/2x

3=1/2x

Now, multiply by 2 or divide by 1/2 from both sides (your pick)

3*2=x

Therefore the answer is x=6

Answer:

-4

Step-by-step explanation:

I just counted

To calculate the total amount of money Kyle makes, we need to consider the two periods of his work separately:

The two months when he works 40 hours per week and the remaining months when he works 16 hours per week. For the first two months, Kyle works 40 hours per week at a wage of $7.25 per hour. In a month, there are approximately 4.33 weeks. So, his earnings for the two months can be calculated as follows:

Earnings for the first two months = 2 months * 4.33 weeks/month * 40 hours/week * $7.25/hour. For the remaining months, Kyle works 16 hours per week at the same wage of $7.25 per hour. In a year, there are 12 months, and the number of remaining months is 12 - 2 = 10. Therefore, his earnings for the remaining months can be calculated as:

Earnings for the remaining months = 10 months * 4.33 weeks/month * 16 hours/week * $7.25/hour. To find the total amount of money Kyle makes, we need to sum up his earnings from the first two months and the remaining months. Total earnings = Earnings for the first two months + Earnings for the remaining months

By substituting the values and performing the calculations, we can find the exact amount of money Kyle makes.

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Answer: $42

Step-by-step explanation: 7 x 6 = 42

Answer:

$42

Step-by-step explanation:

7 times 6 is 42 so 6 movie tickets that cost $7 is $42 all together

This vector represents the coordinates of x with respect to the basis b. It is a vector in R2, where the first component is the coefficient of b1 and the second component is the coefficient of b2. To get the b-coordinate vector of x, we need to express x as a linear combination of the basis vectors b1 and b2.

Since x is in the subspace h with basis b, it can be written as: x = c1*b1 + c2*b2
where c1 and c2 are constants. To find the b-coordinate vector of x, we need to find the values of c1 and c2. We can do this by solving the system of equations: x = c1*b1 + c2*b2
where x is the given vector and b1 and b2 are the basis vectors. This system can be written in matrix form as: [ b1 | b2 ] [ c1 ] = [ x ]
where [ b1 | b2 ] is the matrix whose columns are the basis vectors b1 and b2, [ c1 ] is the column vector of constants c1 and c2, and [ x ] is the column vector representing the vector x.
To solve for [ c1 ], we need to invert the matrix [ b1 | b2 ] and multiply both sides of the equation by the inverse. The inverse of a matrix can be found using matrix algebra, or by using an online calculator or software.
Once we have found [ c1 ], we can write the b-coordinate vector of x as: [ x ]_b = [ c1 ; c2 ]
where [ x ]_b is the b-coordinate vector of x. This vector represents the coordinates of x with respect to the basis b. It is a vector in R2, where the first component is the coefficient of b1 and the second component is the coefficient of b2.

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The value of k in the rational expression (5k - 2)/3k = 7 is - 2/17.

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

We also know that a fraction is written in the form of p/q, where q ≠ 0.

Given, A rational expression (5k - 2)/3k = 7.

Now, The denominator of the LHS will be multiplied to the numerator of RHS.

Therefore, 5k - 2 = 21k.

5k - 21k = 2.

- 17k = 2.

- k = 2/17.

k = - 2/17.

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Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and \(\varepsilon>0\), we want to find a \(\delta \) such that \(|f(x)-14|<\varepsilon\)

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that \(|x-5|<\delta\). Then

\(|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta\).

Then, if \(|x-5|<\delta\), then \(|f(x)-14|<3\delta\). So, in this case, if \(3\delta \leq \varepsilon\) we get that \(|f(x)-14|<\varepsilon\). The maximum value of delta is \(\frac{\varepsilon}{3}\).

By definition, this procedure proves that \(\lim_{x\to 5}f(x) = 14\). Note that f(5)=14, so this proves that f is continous at x=5.

We can translate figure ABCD 8 units to the right and -3 units down to obtain A'B'C'D' and both the shapes are not congruent.

To transform figure ABCD into figure A'B'C'D', we can apply a translation, which involves moving the entire figure by a certain amount in a specific direction.

We need to translate figure ABCD 8 units to the right and -3 units down to obtain figure A'B'C'D'.

This means that we add 8 to the x-coordinates of each point and subtract 3 from the y-coordinates of each point.

By performing this translation, the corresponding points of ABCD become:

A(-4, 4) -> A'(4, 1)

B(-2, 2) -> B'(2, -1)

C(-2, -1) -> C'(2, -4)

D(-4, 1) -> D'(4, -2)

Two figures are considered congruent if they have the same shape and size.

The arrangement of the vertices remains the same after the translation, the positions and orientations of the figures are different.

Hence, we can conclude that the two figures ABCD and A'B'C'D' are not congruent.

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Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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In summary, the joint density of the continuous random variables X1 and X2 is given by k(1 – X2) f(X1, X2) if 0 < X1 < X2 < 1, and 0 elsewhere. To make this a probability density function, the value of k is determined to be 6.

Now, let's calculate the probability P(X1 < X2). We integrate the joint density function over the region where X1 is less than X2. The limits of integration for X1 are 0 to X2, and for X2, it is from X1 to 1. Evaluating the integral, we find that P(X1 < X2) = 32.

Next, we need to find the marginal density functions for X1 and X2. The marginal density function of X1, denoted as f1(x1), is obtained by integrating the joint density function over all possible values of X2. Similarly, the marginal density function of X2, denoted as f2(x2), is obtained by integrating the joint density function over all possible values of X1. After performing the integrations, we find that f1(x1) = 3(1 – x1) for 0 < X1 < 1, and f2(x2) = 6x2(1 – x2) for 0 < X2 < 1.

Finally, let's compute the probability P(X2 < X1|X1 < 3). We integrate the joint density function over the region where X2 is less than X1 and X1 is less than 3. The limits of integration for X2 are 0 to X1, and for X1, it is from 0 to 3. Evaluating the integral, we find that P(X2 < X1|X1 < 3) = 32.

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Answer:

That is a triangular prism

Step-by-step explanation:

If you look at the base of the 3D shape you will see a triangle. The whole shape is already a prism, so just put it together and, boom, a triangular prism.

Answer: In mathematics, the additive inverse of a number is the number that, when added to the original number, results in zero.

Step-by-step explanation: The additive inverse of 21.9 can be found by simply negating the value, which means changing the sign from positive to negative, or vice versa. Therefore, the additive inverse of 21.9 is -21.9, because 21.9 + (-21.9) = 0.

Answer:

Add a point at 5 ( the vertical line, NOT -5)

Step-by-step explanation:

Then after adding a point at the 5 ( your y-intercept) you want to go up 4 and 1 right and add another point there.

Sorry I  tried the best I could