Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

Answer:

There are 10 nickels and 11 quarters in the jar.

Step-by-step explanation:

Given that:

Total coins = 21

Total value = $3.25 = 3.25*100 = 325 cents

One nickel = 5 cents

One quarter = 25 cents

Let,

x be the number of nickels

y be the number of quarters

According to given statement;

x+y=21       Eqn 1

5x+25y=325    Eqn 2

Multiplying Eqn 1 by 5

5(x+y=21)

5x+5y=105     Eqn 3

Subtracting Eqn 3 from Eqn 2

(5x+25y)-(5x+5y)=325-105

5x+25y-5x-5y=220

20y=220

Dividing both sides by 20

\(\frac{20y}{20}=\frac{220}{20}\\y=11\)

Putting y=11 in Eqn 1

x+11=21

x=21-11

x=10

Hence,

There are 10 nickels and 11 quarters in the jar.

Option D has a non-zero component function in the y-direction and a zero component function in the x-direction.

The vector field →F is normal to the line x=2, so it must be tangent to the line y-axis at every point. This means that the component function of →F in the x-direction should be 0 and the component function of →F in the y-direction should be non-zero.

Option D has a non-zero component function in the y-direction and a zero component function in the x-direction, so it satisfies the given property. Therefore, the answer is: D. →F=(0,y)

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Remember that a segment that connects two points A and B is written as:

AB

Now, assuming that in this case the points B, D, and C are collinear, we can see that C is between B and D.

With this, we can find that BC = 10

Then we can write:

BD = BC + CD

And we know that:

BD = 14

CD = 4

we can replace thest two in the above equation to get:

14 = BC + 4

14 - 4 = BC

10 = BC

We just found that the value of the segment BC is 10.

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The inequality to show the weight limit for the elevator is w < 1,800.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.

Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this situation, the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds.

The inequality will be:

w < 1800 where w is the weight.

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Answer:

d

Step-by-step explanation:

(3 x 100) + (7 X 0.1) + (5 X 0.0001)

Provided that 70% of US households have cable television and a random sample of 18 households is selected, the probability that exactly 12 households have cable television is 18.73% determined by using binomial distribution.

The binomial distribution, as provided in the question, refers to the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

The binomial distribution formula for any random variable is:

P(x:n,p) = nCx px (1-p)n-x

P(x:n,p) = n!/[x!(n-x)!].p^x.(1-p)^n-x

Where n is the number of experiments, x is a random variable, and p is the probability of success in a single experiment.

n = 18

x =12

p = 0.7

P = 18!/[12!(18-12)!].0.7^12.(1-0.7)^18-12

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 0.1873

Hence, the probability of exactly 12 households having cable is 18.73%

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Answer:

(x+y)^3

Step-by-step explanation:

125 is the third power of five and 216 is the third power of 6

so we can rewrite the expression as (x+y)^3

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

y = 3/4x - 3

m= 3/4

y = (0,-3)

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The relationship between AABC and ARST is that they are always is neither congruent nor similar. 4.

The relationship between AABC and ARST, after the described transformations (translation and line reflection), can be determined based on the properties of the transformations.

Congruent and Similar:

Congruent figures have the same shape and size, while similar figures have the same shape but different sizes.

Since the question mentions a translation and a line reflection, these transformations preserve both shape and size.

If AABC and AJED are congruent due to the translation and AJED and ARST are also congruent due to the line reflection, then AABC and ARST would be congruent as well.

However, the question does not specify whether the figures are similar or not, so we cannot conclude that they are similar.

Congruent but Not Similar:

As mentioned earlier, congruent figures have the same shape and size.

If AABC and AJED are congruent due to the translation and AJED and ARST are congruent due to the line reflection, it follows that AABC and ARST would also be congruent.

We cannot determine whether they are similar or not.

Similar but Not Congruent:

Similar figures have the same shape but different sizes.

Since the question does not provide any information about the angles or side ratios of the figures, we cannot conclude that AABC and ARST are similar.

Neither Congruent nor Similar:

Based on the information given, this is the most accurate choice.

Without additional information about the angles or side ratios, we cannot determine whether AABC and ARST are congruent or similar.

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Answer:

h = -3/8

Step-by-step explanation:

-3/4 - h + 1/3h - 2 = -4/3h -3

combine like terms

-2 = -8/4

-3 = -12/4

-2/3h - 11/4 = -4/3h -12/4

2/3h - 11/4 = -12/4

2/3h = -1/4

8/12h = -3/12

8h = -3

h = -3/8

The value of x is 9 and the sides are 28,8

what is a triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always is 180 degrees.

From the given figure ,

we can say that the two triangles are similar ,

21 / 3x+1  =  6 / x-1

21 ( x-1) = 6 (3x+1)

21x - 21 = 18x + 6

21x - 18x = 21 + 6

3x = 27

x = 9

3x + 1 = 3* 9 + 1 = 28

x-1 = 9-1 = 8

Therefore, The value of x is 9 and the sides are 28,8

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Answer:

Step-by-step explanation:

I THINK THIS IS IT

To round 57.7 to the nearest tenth consider the hundredths’ value of 57.7, which is 0 and equal or more than 5. Therefore, the tenth value of 57.7 increases by 1 to 8.

57.7 rounded to the nearest tenth = 57.7

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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The sum of the time the projectile reaches maximum height and the time it hits the ground is approximately:
0.07 seconds + 0.45 seconds = 0.52 seconds

To find the sum of the time the projectile reaches maximum height and the time it hits the ground, we need to find the values of t when h(t) = 0 (when the projectile hits the ground) and when the derivative of h(t) is 0 (when the projectile reaches maximum height).

First, we find when the projectile hits the ground:
h(t) = -112t^2+16t+32
0 = -112t^2+16t+32
0 = -28t^2+4t+8
0 = -7t^2+t+2
Using the quadratic formula, we get:
t = (-1 ± sqrt(1-4(-7)(2)))/(2(-7))
t = (-1 ± sqrt(57))/14
Since the time cannot be negative, we take the positive value:
t = (-1 + sqrt(57))/14 ≈ 0.45 seconds

Next, we find when the projectile reaches maximum height:
h(t) = -112t^2+16t+32
h'(t) = -224t + 16
To find when h'(t) = 0, we set it equal to 0:
0 = -224t + 16
t = 16/224
t = 1/14 ≈ 0.07 seconds

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the two shapes are similar but scaled differently

this ratio is 2:3 (EF:AB)

so to find y we’ll set this up

2/3= y/4.5

and solve for y

4.5(2/3) = y

y = 9/3

y = 3

When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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Step-by-step explanation:

To evaluate such, the following must be comprehended, on the behalf of linear data:

Slope: Rise/Run.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Recall:

Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.

Slope-Intercept Form:

Y = mx + b

Y = The line.

M = Slope.

B = y-intercept.

The following may be equated, as stated:

- Slope = 0

Y = b

- Y-intercept = 7

Y = 7

Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).

Answer:

The answer should be x = 6

Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square

Step-by-step explanation:Best fit options for each question.

Answer:48

Step-by-step explanation:

The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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Answer:

13.5 and 2.76

Step-by-step explanation:

The lowest score that still places a student in the top 15% of the scores is 316.

First, calculate the z-score using the z-score formula: z = (x - μ) / σ, where x is the raw score, μ is the mean, and σ is the standard deviation. Then, use a z-score table to find the corresponding percentile rank.

Finally, set the percentile rank equal to 85%, since we're looking for the top 15%, and solve for x using the same formula. The resulting score is the lowest score that still places a student in the top 15% of the scores.

Therefore, the answer is x = 316.4.

To find the lowest score that still places a student in the top 15% of the scores, we need to use the z-score formula.

The formula for the z-score is z = (x - μ) / σ, where x is the raw score, μ is the mean, and σ is the standard deviation. We're given that the mean score is 281 and the standard deviation is 34.4, so the formula becomes z = (x - 281) / 34.4. To find the z-score that corresponds to the top 15%, we need to use a z-score table.

From the table, we find that a z-score of 1.04 corresponds to a percentile rank of 85%. Setting the percentile rank equal to 85% and solving for x, we get x = 316.4. Therefore, the lowest score that still places a student in the top 15% of the scores is 316.

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