Please help i will give brainliest

The answer is as:

a) ∠M is congruent to ∠O.

b) the two triangles XYW and ZWY are congruent by angle-angle-side (AAS) congruence.

What is the congruent angle?

When two parallel lines are cut by a transversal, the angles that are on the same side of the transversal and in matching corners will be congruent.

Since ∠NLM ≅ ∠LNO and ∠OLN ≅  ∠MNL, we have:

∠NLM + ∠LNO = ∠OLN + ∠MNL (by the transitive property of angle congruence)

Therefore, ∠NLO = ∠MLN + ∠MIN

Since ∠NLO is a straight angle (180 degrees), we have:

∠NLO = ∠M + ∠O

Substituting ∠M + ∠O for ∠NLO in the previous equation, we get:

∠M + ∠O = ∠MLN + ∠MIN

Rearranging the terms, we get:

∠M - ∠MLN = ∠MIN - ∠O

Using the fact that angle M is supplementary to angle MLN (since they form a straight angle), we have:

∠M - (180 - ∠LNO) = ∠MIN - ∠O

Simplifying, we get:

∠M - ∠LNO = ∠MIN - ∠O

Since ∠OLN ≅  ∠MNI, we have:

∠LNO = ∠MIN

Substituting ∠LNO for ∠MIN in the previous equation, we get:

∠M - ∠LNO = ∠LNO - ∠O

Adding ∠O to both sides, we get:

∠M = 2∠LNO - ∠O

Therefore, ∠M is congruent to ∠O.

#6

Proof:

Since ∠1 ≅  ∠2 and ∠3 ≅  ∠4, we have:

∠1 + ∠3 = ∠2 + ∠4 (by the transitive property of angle congruence)

Therefore, ∠1 - ∠2 = ∠4 - ∠3

Using the fact that opposite angles in a parallelogram are congruent, we have:

∠YXW = ∠1 - ∠2

∠ZWY = ∠4 - ∠3

Substituting these values in the previous equation, we get:

∠YXW = ∠ZWY

Therefore, the two triangles XYW and ZWY are congruent by angle-angle-side (AAS) congruence.

Since corresponding sides of congruent triangles are congruent, we have:

XY cong ZW.

Hence, the answer is as:

a) ∠M is congruent to ∠O.

b) the two triangles XYW and ZWY are congruent by angle-angle-side (AAS) congruence.

To learn more about the congruent angle visit:

brainly.com/question/28262429

#SPJ1

Answer:

5. 2√6

6. 4

Step-by-step explanation:

5. x =√[3×(3+5] = √3×8 =√24=2√6

6. x(x+5)=6²

x²+5x=36

x²+5x-36=0

(x+9)(x-4) =0

x=-9 or x=4

Answer:

increases by 30

Step-by-step explanation: its right

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

The trigonometry ratio values are tan(50) = 1.19 and cos(70) = 0.34

This can be calculated using a calculator

So, we have

tan(50) = 1.19 and cos(70) = 0.34

This can be calculated using a calculator

So, we have

sin(84) = 0.9945 and tan(75) = 3.7321

Here, we make use of the laws of cosines and sines

So, we have

cos(X) = 15/17 = 0.8824

sin(C) = 36/45 = 0.8

Here, we make use of the laws of tangents and sines

So, we have

tan(?) = 6/13 = 0.4615

? = 24.77

sin(?) = 41/59 = 0.6949

? = 44.01

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Based on the results, the below  list shows a comparison of the overall performance of the portfolios, from best to worst:

Portfolio 2, Portfolio 1, Portfolio 3

Portfolio 1:

total investment=$1250+$575+$895+$800+$1775

total investment = $5295

weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)

weighted average ROR = 3.23%

Portfolio 2:

total investment = $950 + $2025 + $1185 + $445 + $625

total investment = $5230

weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)

weighted average ROR = 5%

Portfolio 3:

total investment = $900 + $2350 + $310 + $1600 + $2780

total investment = $7940

weighted average ROR = (  12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)

weighted average ROR = 1%

Find out more about weighted average ROR ,

https://brainly.com/question/9816365

#SPJ1

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

For more questions on bags

https://brainly.com/question/31835238

#SPJ8

Answer: i think its 58.9997

Step-by-step explanation:

first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

Answer:

Step-by-step explanation:

300,000-100

300,00 + -100

=299900

Answer:

299900

Step-by-step explanation:

Answer:

The probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

Step-by-step explanation:

The random variable X can be defined as the number of incoming phone calls during the noon hour on Thursdays.

The random variable X describes a finite number of occurrences of an event in a fixed time interval.

The random variable X follows a Poisson distribution with parameter λ = 8.2.

The probability mass function of X is:

\(P(X=x)=\frac{e^{-8.2}(8.2)^{x}}{x!};x=0,1,2,3...\)

Compute the probability of more than 4 calls as follows:    

\(P(X>4)=1-P(X\leq 4)\)

                \(=1-\sum\limits^{4}_{x=0}{\frac{e^{-8.2}(8.2)^{x}}{x!}}\\\\=1-[0.00027+0.00225+0.00923+0.02524+0.05174]\\\\=1-0.08873\\\\=0.91127\\\\\approx 0.9113\)

Thus, the probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

Step-by-step explanation:

If the order is relevant, the number of permutations is:

₁₀P₅ = 30,240

If the order is not relevant, the number of combinations is:

₁₀C₅ = 252

The number of ways to choose 5 letters among 10 without replacement will be 252 and with replacements will be 30240.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

The number of ways to choose r quantity among n without replacement is given as nCr = n!/(r!(n - 1)!)

n = 10 and r = 5

10C5 = 252

The number of ways to choose r quantity among n with replacement is given as, nPr = n!/(n - r)!

n = 40 and r = 5

10P5 = 10!/(10 - 5)! = 30240

Hence "The number of ways to choose 5 letters among 10 without replacement will be 252 and with replacements will be 30240".

For more about permutation and combination,

https://brainly.com/question/13387529

#SPJ2

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

For similar question on surveyed.

https://brainly.com/question/14610641  

#SPJ8

Answer:

Two possible answers depending on full context: 13 ft or 13 1/3 ft

Step-by-step explanation:

Background: You can get area by multiplying length by width

1. The area is already given in this equation, 160. The length is also given, meaning that we just need to find the width (w).

We can even form an equation: 160 = 12 * w

2. Divide 160 by 12 to find the maximum width

3. When you divide 160 by 12 you get 13 1/3 ft as the width. If you are looking for whole numbers you can round back to 13 ft.

The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).

As given in the question,

Number of six sided fair dice rolled = 2

Total number of outcomes of each dice = 6

Total number of outcomes of rolling two six sided fair dice = 36

Outcomes are:

( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)

Sum of facing up dice add upto 3 are

( 1,2) , (2,1) only

Number of favorable outcomes = 2

Required probability = 2/36

                                = 1/18

Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).

The given question is incomplete, I answer the question in general according to my knowledge:

Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

19 dollars.

Step-by-step explanation:

0.20 x $95.00=$19.00.

The surface area of the given sphere is 764.15 square inches.

Given that, the sphere has diameter = 15.6 inches.

Here, radius = 15.6/2 = 7.8 inches

We know that, surface area of a sphere is 4πr².

Now, surface area = 4×3.14×7.8²

= 764.15 square inches

Therefore, the surface area of the given sphere is 764.15 square inches.

Learn more about the sphere here:

https://brainly.com/question/12390313.

#SPJ1

Answer:

25, 0, -12.5

Step-by-step explanation:

See attached

Rate of change is:

Interval 0 - 1 min

Interval 1 - 2 min

Interval 2- 5 min

Answer:

The probability would be 9/11

Step-by-step explanation:

Because there are total 110 students and there are 90 women that means if a student is selected randomly, then the probability would be 90/110 and when I simplify that I get 9/11

Answer:

y-2=3/2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-2=3/2(x-(-1))

y-2=3/2(x+1)

Answer: 6 red and 7 blue

Step-by-step explanation:

Cut in half the amount of each balloon

Answer:

I think it is 8

Step-by-step explanation:

6 1/2 divided by 3/8 = 8

hope this helped

Answer:

£1.44

Step-by-step explanation:

N1 = £0.12

N12 = 12 × N1 = 12 × £0.12 = £1.44

The domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11. Option C

The domain of a function refers to the entire area for which the function returns a value. The function in this case is; f(x) = x^2 - 3x - 28/x + 4. The domain of the function will be real numbers except -4.

Hence, we can say that domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11.

Learn more about domain:https://brainly.com/question/13113489

#SPJ1

Answer:

The answer is C.

Answer:

3(x-4)(x-2)

Step-by-step explanation:

Hope this helps! Please mark brainliest. :)