Someobe pleaseeee help I need it​

The theorem that explains why ∠4 ≅ ∠8 is the Alternate Interior Angles Theorem. The same side interior angles pair are ∠3 and ∠5, and ∠4 and ∠8.

Alternate Interior Angles theorem states that if two parallel lines are intersected by a transversal, then the alternate interior angles formed are congruent.

The same-side interior angles are the angles that are on the same side of the transversal and inside the two parallel lines. In the given diagram, the same-side interior angle pairs are ∠3 and ∠5, and ∠4 and ∠8.

All the angle pairs formed by the intersection of the two parallel lines and the transversal are

Corresponding angles are ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8

Alternate interior angles are ∠3 and ∠5, ∠4 and ∠8

Alternate exterior angles are ∠1 and ∠7, ∠2 and ∠6

Vertical angles are ∠3 and ∠4, ∠5 and ∠6, ∠1 and ∠2, ∠7 and ∠8

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Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

Answer:

they are NOT similar!

Step-by-step explanation:

the angles are not conguent or they are not the same in words

the don't add up with the same sum of angles,

so your explanation would be:

45 plus 29 has a sum of 74 for the right triangle and the left triangle has angles 106 degrees plus 29 degrees with a sum of 135 degrees, there-fore the triangles aren't similar because the angles are not equal to each other

9514 1404 393

Answer:

  ∆AFN ~ ∆SHE . . . . AA~

Step-by-step explanation:

The third angle in triangle HSE is ...

  180° -45° -29° = 106°

This means two angles in ∆SHE match two angles in ∆AFN. (106° and 29°) The triangles are similar by AA~.

Listing vertices in order of smallest-to-largest angles, the similarity statement is ...

  ∆AFN ~ ∆SHE . . . . AA~

The system of linear equations is:

7x - 5y = 12  ---(Equation 1)

42x - 30y = 17 ---(Equation 2)

To determine whether a solution exists for this system of equations, we can check if the slopes of the two lines are equal. If the slopes are equal, the lines are parallel, and the system has no solution. If the slopes are not equal, the lines intersect at a point, and the system has a unique solution.

To determine the slope of a line, we can rearrange the equations into slope-intercept form (y = mx + b), where m represents the slope.

Equation 1: 7x - 5y = 12

Rearranging: -5y = -7x + 12

Dividing by -5: y = (7/5)x - (12/5)

So, the slope of Equation 1 is (7/5).

Equation 2: 42x - 30y = 17

Rearranging: -30y = -42x + 17

Dividing by -30: y = (42/30)x - (17/30)

Simplifying: y = (7/5)x - (17/30)

So, the slope of Equation 2 is (7/5).

Since the slopes of both equations are equal (both are (7/5)), the lines are parallel, and the system of equations has no solution.

In summary, the system of linear equations does not have a solution.

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Whether the two ratios are 2: 3 and 2: 3 or a proportion

4: 6 and 12: 18

\($\frac{4}{6}$\)   and

\($\frac{12}{18}=\frac{2}{3}$\)   and

2/3

=2: 3 and 2: 3

Yes the given two ratios form a proportion.

The complete question is:

Check whether the given two ratios form a proportion or not: 4: 6  12: 18

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Answer:

-2

Step-by-step explanation:

if your looking for x it equals x= -2

x(-2) - 10 = -12

1/3 x -12 = -4

hope this helps

Answer:

\(\dfrac{1}{8}\ \text{gallons}\)

Step-by-step explanation:

Amount of milk remaining is \(\dfrac{3}{4}\ \text{gallons}\)

Number of bowls is \(6\).

So, each bowl will contain

\(\dfrac{\dfrac{3}{4}}{6}\)

\(=\dfrac{3}{4}\times \dfrac{1}{6}\)

\(=\dfrac{3}{24}\)

\(=\dfrac{1}{8}\ \text{gallons}\)

Hence, each bowl will have \(\dfrac{1}{8}\ \text{gallons}\) of milk.

Answer:

TL = 8 in.

CX = 3 in.

Step-by-step explanation:

TK is a tangent to circle O at point K. That makes K a right angle.

Triangle TKO is a right angle.

All units of length are inches. I will leave out in. until the end for simplicity.

TO = 10

KO = 6 in.

Using the Pythagorean theorem,

(TK)² + (KO)² = (TO)²

(TK)² + 6² = 10²

TK = √(100 - 36)

TK = 8

We know all side lengths of triangle TKO.

Now look at triangle CXT.

CX is tangent to the circle. That makes <CXT a right angle.

Triangle CXT is a right triangle.

<KTO of triangle TKO and <CTX of triangle CXT are congruent because they are the same angle.

Since the triangles are right triangle, they also have another pair of congruent angles, the two right angles, TKO and CXT. By AA similarity, triangles TKO and TXC are similar triangles.

TO = TX + OX

OX is a radius of circle O. OX = 6.

10 = TX + 6

TX = 4 in.

Now we use a proportion of side lengths of the similar triangles.

Triangle TLO is congruent to triangle TKO since TL = TK (tangents), KO = LO (radii) and both are right triangles.

TL = TK = 8 in.

TX/TK = CX/KO = TC/TO

4/8 = CX/6

1/2 = CX/6

CX = 3 in.

Answer:

-7 2/3 + (-5 1/2) + 8 3/4 = -4 5/12

Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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Answer:

\(m=18\)

Step-by-step explanation:

The equation given is \(D=\frac{m}{v}\)

and also we have that \(D=\frac{6}{7}\), thus:

\(\frac{6}{7}=\frac{m}{v}\)

------------

I think the question is missing which variable is defined as \(=m+3\), so I will solve for \(v=m+3\) since is the only other variable in the equation.

substituting \(v=m+3\)  into \(\frac{6}{7}=\frac{m}{v}\):

\(\frac{6}{7}=\frac{m}{m+3}\)

and we solve for m:

\((m+3)(6)=7m\\6m+18=7m\\18=7m-6m\\18=m\)

m is equal to 18.

The height of the ground from the base of the window is 144 inches.

One angle of a right angle triangle is equals to 90 degrees.

Therefore, the sides and angles of the right triangle can be found using trigonometric ratios.

tan x = WY / XY

tan x  = opposite / adjacent

tan x = 24 / 8

x = tan⁻¹ 3

x = tan⁻¹ 3

x = 71.5650511771

x = 71.60°

tan 71.60 = h / 48

cross multiply

h = 48 tan 71.60

h = 48 × 3

h = 144 inches

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Answer:

\(\frac{x}{8}\)

Step-by-step explanation:

When solving inverse functions, switch the x and y's:

x=8y

Then solve for y: (divide 8 on both sides)

\(\frac{x}{8}=y\\\)

Answer:

6 pounds

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

12 divided by 3 = 4

20 divided by 4 = 5

The statement "Xn converges to X almost surely as required" is proved.

Let {Xn}nen be a sequence of random variables and X be another random variable. The task is to show that Xn converges almost surely to X. Assume that for all ε > 0, P(|Xn - X| > ε) < 1/n2, n = 1,2,3,....

To show this, one must observe that since Xn(ω) → X(ω) as n → ∞ implies that |Xn(ω) - X(ω)| → 0. Thus, the intersection of all events {An} is the set of ω such that Xn(ω) converges to X(ω).

Applying the Borel-Cantelli lemma gives P({An i.o.}) = 0 and P({|Xn - X| > ε} i.o.) = 0.Since the events {An} and {|Xn - X| > ε} i.o. are monotone decreasing, limsup and liminf can be interchanged to obtain limsup P({|Xn - X| > ε}) = 0.

As a result, Xn nearly certainly converges to X as needed.

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To find the probability of accepting a lot with a defect rate of 4% using an acceptance sampling plan with n = 27 and c = 0, we need to calculate the binomial probability of having zero defects in a sample of 27 items.

The probability of accepting a lot is equal to the probability of having zero defects, which can be calculated using the binomial probability formula. The formula is P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where P(X = k) is the probability of getting k successes, n is the sample size, p is the probability of success (defect rate), and C(n, k) is the binomial coefficient.

In this case, we want to find P(X = 0) where n = 27 and p = 0.04 (4% defect rate). Substituting these values into the binomial probability formula and calculating it will give us the desired probability of accepting the lot with zero defects.

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Answer:

\(9m^2 + 17m- 9\)

Step-by-step explanation:

Given

\(7m^2 + (2m - 1)(m + 9)\)

Required:

Simplify

We start by opening the bracket

\(7m^2 + (2m(m + 9) - 1(m + 9))\)

\(7m^2 + 2m^2 + 18m - m - 9\)

Collect Like Terms

\(9m^2 + 17m- 9\)

Hence, the equivalent expression is \(9m^2 + 17m- 9\)

a) The relation R from set A={13, 17, 29, 45} to set B={4, 6, 22, 60} is {(13,4), (13,6), (13,60), (17,6), (17,22), (29,22)}.

b) R is a function from A to B.

a) We need to find all pairs of elements (a, b) such that aRb, where a is an element of set A and b is an element of set B. According to the definition of R, aRb if and only if a+b is a prime number.

Let's start with the first element of set A, which is 13. We need to find all elements of set B that satisfy the condition a+b is a prime number, where a=13. We have:

13+4=17 (prime)

13+6=19 (prime)

13+22=35 (not prime)

13+60=73 (prime)

So, for a=13, the elements of set B that satisfy the condition are 4, 6, and 60. We can repeat this process for the other elements of set A to find all pairs of elements (a, b) such that aRb. The results are:

For a=17, the elements of set B that satisfy the condition are 6 and 22.

For a=29, the element of set B that satisfies the condition is 22.

For a=45, there are no elements of set B that satisfy the condition.

Therefore, the relation R from set A to set B is {(13,4), (13,6), (13,60), (17,6), (17,22), (29,22)}.

b) To determine if R is a function from A to B, we need to check if each element of set A is related to at most one element of set B. In other words, we need to check if there are any duplicate elements in the first coordinate of the ordered pairs in R.

In our case, there are no duplicates in the first coordinate, so each element of set A is related to at most one element of set B. Therefore, R is a function from A to B.

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A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Answer:

Exponential function

Your brother's monthly payment would be approximately $367.74 more than yours.

To calculate the monthly payment for a mortgage, we can use the formula:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly payment, P is the principal (loan amount), r is the monthly interest rate, and n is the total number of payments.

For your mortgage:

Principal (P): $150,000

Interest rate (r): 4.2% per year, compounded monthly (0.042/12 = 0.0035 monthly)

Total number of payments (n): 30 years * 12 months/year = 360 payments

Using the formula, we can calculate your monthly payment:

M = 150,000 * (0.0035 * (1 + 0.0035)^360) / ((1 + 0.0035)^360 - 1)

≈ $741.39

For your brother's mortgage:

Principal (P): $150,000

Interest rate (r): 7.4% per year, compounded monthly (0.074/12 = 0.00617 monthly)

Total number of payments (n): 30 years * 12 months/year = 360 payments

Using the formula, we can calculate your brother's monthly payment:

M = 150,000 * (0.00617 * (1 + 0.00617)^360) / ((1 + 0.00617)^360 - 1)

≈ $1,109.13

Therefore, your brother's monthly payment would be approximately $367.74 more than yours.

Based on the given information, your brother would have a higher monthly mortgage payment compared to yours. The difference in payments is mainly due to the difference in interest rates. Your brother's mortgage has a higher interest rate of 7.4% compared to your mortgage's rate of 4.2%. This highlights the impact of interest rates on monthly mortgage payments. It is essential to consider the interest rate when choosing a mortgage as it significantly affects the affordability and overall cost of the loan.

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the average weight beyond which the elevator would be considered overloaded is approximately 7616.56 lbs.

What is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities are usually expressed as fractions, decimals, or percentages.

The total weight of 35 men in the elevator can be modeled by the sum of 35 independent and identically distributed normal random variables with mean 174 lbs and standard deviation 29 lbs. Let X be the weight of one man, then the total weight of 35 men is W = 35X.

The mean of W is:

μW = E(W) = E(35X) = 35 E(X) = 35 * 174 = 6090 lbs

The variance of W is:

Var(W) = Var(35X) = 35^2 Var(X) = 35^2 * 29^2 = 899150

The standard deviation of W is:

σW = sqrt(Var(W)) = sqrt(899150) = 947.85

To find the average weight beyond which the elevator would be considered overloaded, we need to find the weight that corresponds to the 95th percentile of the distribution of W, since the elevator is overloaded if the total weight is in excess of 6475 lbs.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 95th percentile: z = 1.645 (rounded to 3 decimal places).

We can then find the weight w that corresponds to this z-score:

w = μW + z * σW

w = 6090 + 1.645 * 947.85

w ≈ 7616.56

Therefore, the average weight beyond which the elevator would be considered overloaded is approximately 7616.56 lbs.

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If -4 is a zero with multiplicity 1, then (x + 4) is a factor of the polynomial. Similarly, if 1 is a zero with multiplicity 2, then (x - 1)^2 is a factor of the polynomial. Therefore, we can write the polynomial in factored form as:

f(x) = a(x + 4)(x - 1)^2

where "a" is a constant that we need to determine.

To find "a", we use the fact that f(0) = -12. Substituting x = 0 into the equation above, we get:

f(0) = a(0 + 4)(0 - 1)^2

-12 = -4a

Solving for "a", we get:

a = 3

Therefore, the polynomial is:

f(x) = 3(x + 4)(x - 1)^2

Note that this polynomial has a zero at x = -4 (with multiplicity 1), a zero at x = 1 (with multiplicity 2), and f(0) = -12.

Answer:

45+5x \(\leq\)60

Step-by-step explanation:

Answer: I think u have to take away 12 from 36

Answer:

she will use 3 cups of milk

because 12 divided by 3 equals 12

Step-by-step explanation:

Answer:

(-1,-2)

Step-by-step explanation:

Inverse function is where y and x are exchanged in position of a equation of a function.

On average, we can expect approximately 1.8 people to be waiting in line at the grocery store based on the given probability distribution.

The expected number of people waiting in line, rounded to the nearest tenth, can be calculated using the probability distribution provided. Let's denote the number of people waiting in line as X and the corresponding probabilities as P(X).

X: 0 1 2 3 4

P(X): 0.1 0.3 0.4 0.15 0.05

To find the expected number of people waiting in line, we multiply each value of X by its corresponding probability and sum up the results:

Expected value = (0 * 0.1) + (1 * 0.3) + (2 * 0.4) + (3 * 0.15) + (4 * 0.05)

Calculating this expression, we get:

Expected value = 0 + 0.3 + 0.8 + 0.45 + 0.2 = 1.75

Rounded to the nearest tenth, the expected number of people waiting in line is 1.8. This means that, on average, we can expect approximately 1.8 people to be waiting in line at the grocery store based on the given probability distribution.

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Answer:

x- intercept: ( -10,0)

y- intercept: (0, -45)

Step-by-step explanation:

An x intercept can be determined from the graph above by recognizing where the given line crosses the x-axis. The same is true for the y intercept and the y-axis.

On this graph, we see that the line crosses the x axis at the point ( -10,0), making this our x intercept.

We also see that the line crosses the y axis at the point (0, -45), making this our y intercept.

HOPE THIS HELPS!!