Eden is cutting two triangular tiles for her bathroom. She needs the tiles to be congruent but is not sure she is cutting them that way. Eden has ensured that one side of both tiles is congruent. Which pair of sides would Eden need to compare in order to make sure the triangles are congruent by HL?

Answer:

The asnwer is 83.6 :)

Step-by-step explanation:

7.6x11=83.6

Answer:

i think its B .-.

Step-by-step explanation:

the other numbers are less than the ones up above

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{24}{y}=\cfrac{y}{30}\implies 720=y^2\implies \sqrt{720}=y\implies 12\sqrt{5}=y\implies 26.83\approx y\)

The value of the given inequality is x≥16.

A connection in mathematics that compares two numbers or other mathematical expressions unequally is known as an inequality. [1] It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are used:

A less than symbol (a b) indicates that an is less than b.

A bigger value than b is indicated by the notation a > b.

In either scenario, a and b are not equal. In these relationships, an is strictly less than or strictly greater than b, which is known as a strict inequality[1]. Comparability is not included.

Two kinds of inequality relations are looser than strict inequalities:

We have inequality

x-4≥12

add 4 on both sides

x-4+4≥12+4

x≥16

Hence,

The value of the given inequality is x≥16.

learn more about mathematical expressions

https://brainly.com/question/30350742

#SPJ1

Answer:

4(3 + 20)

Step-by-step explanation:

The largest GCF of 12 and 80 is 4. Factor out 4 to get your answer in distributive form.

Answer:

4(3+20)

Step-by-step explanation:

First you should find the gcm factor because that is the number we will place outside of the parentheses in order to distribute. The GCM of 12 and 80 is 4. So, we place 4 outside of the grouping symbol. Now, we have to form what will be inside of the parentheses. When we use distributive property, we take the inner number and multiply it by the outside number. So, that means if we have 12 the inner number should be 3 since 4*3=12. Now, we move onto the number 80. Same thing here. This time it's going to be 20 since 4*20=80

So, we're left with this expression: 4(3+20)

By approving the drug, the FDA has accepted the alternative hypothesis that the drug is effective. Therefore, a Type I error (rejecting the null hypothesis when it is actually true) could not have been made.

If the FDA approves the drug, it means they have accepted the alternative hypothesis that the drug is effective, and therefore, a Type I error (rejecting the null hypothesis when it is actually true) could not have been made.

In hypothesis testing, a Type I error occurs when we reject the null hypothesis even though it is true. This means we falsely conclude that there is an effect or relationship when there isn't one. In the context of drug approval, a Type I error would mean approving a drug that is actually ineffective or potentially harmful.

By approving the drug, the FDA is essentially stating that they have sufficient evidence to support the effectiveness of the drug, indicating that a Type I error has been minimized or avoided. However, it is still possible to make a Type II error (failing to reject the null hypothesis when it is actually false) by failing to approve a drug that is actually effective.

Learn more about hypothesis testing here:

https://brainly.com/question/17099835

#SPJ11

The population parameter is the average amount of time for all students to complete the standardized test. The 90% confidence interval [108.6, 143.4] means that we are 90% assured that the true population means lies within this range.

The population parameter in this case is the average amount of time, in minutes, for all students to complete the standardized test.

The interpretation of the 90% confidence interval [108.6, 143.4] is that we are 90% confident that the true population means that it falls within this interval. It means that if we were to repeat the sampling process multiple times and construct 90% confidence intervals, approximately 90% of these intervals would capture the true population mean. In this specific case, we can be 90% assured that the average time for all students taken to complete the standardized test must be between 108.6 and 143.4 minutes.

Learn more about the calculation of population here: https://brainly.com/question/29159915

#SPJ11

The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.

The confidence interval for a population proportion is calculated by the formula,

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

Where \(\bar{p}\) is the sample proportion and α is the level of significance.

It is given that,

The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are

The sample size n = 200;

The number of successes = 46

So, the sample proportion \(\bar{p}\) = 46/200 = 0.23

For a 95% confidence interval, the level of significance is

α = 1 - 95/100 = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Then, the z-score for the value 0.025 is

\(z_{\alpha/2}\) = 1.96 (from the table)

Thus, the confidence interval is

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)

⇒ C.I = 0.23 ± 1.96 × 0.0298

⇒ C.I = 0.23 ± 0.0584

So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.

Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.

Learn more about the confidence interval for a population proportion here:

https://brainly.com/question/16236451

#SPJ4

Answer:

8 and 4 is the answer!

Answer:

x = 42

Step-by-step explanation:

The tangent- tangent angle is half the difference of the intercepted arcs.

LN (major) = 360 - 138 = 222 , then

x = \(\frac{1}{2}\) (222 - 138) = 0.5 × 84 = 42

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

Answer:

Choice a : $96,600

Step-by-step explanation:

The net worth of a person is computed as total assets - total liabilities in money terms

Ben's assets are as follows:

Townhome: $195,000

Savings: $5000

Car: $38,000

Total Assets: 195000 + 5000 + 38000 = $238,000

Ben's liabilities

Home Loan: $120,000

Credit Card: $1,400

Car Loan: $20,000

Total Liabilities = 120000 + 1400 + 20000 = $141,400

Net Worth = 238000 - 141400 = $96,600   (Answer is choice a)

Answer:

A

Step-by-step explanation:

To find the number of years it will take for the population of a city to increase from 120000 to 180000, we need to use the formula:

Years = log (target population / starting population) / log (1 + annual growth rate)

Where the annual growth rate is 2.5% or 0.025.

Plugging in the values, we get:

Years = log (180000 / 120000) / log (1 + 0.025)

Years = log (1.5) / log (1.025)

Years = 7.36 years

Rounding to the nearest tenth, we get:

Years = 7.4 years

So it will take approximately 7.4 years for the population of the city to increase from 120000 to 180000 people, assuming a constant annual growth rate of 2.5%.

To know more about population: https://brainly.com/question/24786731

#SPJ4

To find the zeros of a polynomial algebraically, you can use the following steps:

Write the polynomial in standard form, with the terms arranged in descending order of the degree of the term. For example, if the polynomial is 3x^2 - 2x + 5, it is already in standard form.

Set the polynomial equal to zero. For example, if the polynomial is 3x^2 - 2x + 5, you would set the equation equal to zero like this:

3x^2 - 2x + 5 = 0

Use the quadratic formula to find the solutions (i.e., the zeros) of the equation if the polynomial is a quadratic (degree 2). The quadratic formula is:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the polynomial, and sqrt represents the square root.

For example, if the polynomial is 3x^2 - 2x + 5, the solutions would be:

x = (-(-2) +/- sqrt((-2)^2 - 4 * 3 * 5)) / (2 * 3)

x = (2 +/- sqrt(4 - 60)) / 6

x = (2 +/- sqrt(-56)) / 6

Since the square root of a negative number is not a real number, there are no real solutions (zeros) for this polynomial.

Use the Rational Root Theorem to find the solutions of the equation if the polynomial is not a quadratic. The Rational Root Theorem states that if a polynomial of degree n has a rational root p/q (where p and q are integers and q is not equal to zero), then p must be a divisor of the constant term and q must be a divisor of the coefficient of the term of highest degree.

For example, if the polynomial is x^3 - 2x^2 + x - 6, the constant term is -6 and the coefficient of the term of highest degree is 1. The divisors of -6 are -6, -3, -2, -1, 1, 2, 3, and 6. The divisors of 1 are 1 and -1. Therefore, the possible rational roots of this polynomial are -6, -3, -2, -1, 1, 2, 3, and 6.

To find the actual roots, you can try each of these numbers as a root and see if it works. For example, if you try -6 as a root, you would get:

(-6)^3 - 2(-6)^2 + (-6) - 6 = 0

(-216) - (-72) + (-6) - 6 = 0

-144 - 6 - 6 = 0

-156 = 0

This equation is not true, so -6 is not a root of the polynomial. You can repeat this process for each of the other possible rational roots until you find all of the roots of the polynomial.

We connect the edges of the Rectangle to the corresponding points on the circles, forming the net of the cylinder.

Creating a net for a cylinder involves visualizing the three-dimensional shape and representing it in a two-dimensional flat surface that can be folded to form the cylinder. The net of a cylinder consists of two circles connected by a rectangle.

Given the measurements of the cylinder:

Radius (r) = 0.5 units

Length (l) = 0.35 units

To create the net, we start by drawing two circles with a radius of 0.5 units. These circles represent the top and bottom faces of the cylinder. The diameter of each circle would be twice the radius, so it would be 1 unit.

Next, we draw a rectangle that connects the two circles. The length of the rectangle is equal to the circumference of the circles, which can be calculated using the formula: Circumference = 2 * π * radius.

Using the given radius of 0.5 units, we have:

Circumference = 2 * π * 0.5

Circumference ≈ 3.142

The length of the rectangle would be approximately 3.142 units.

Now, we draw a rectangle with a length of approximately 3.142 units between the circles. The height of the rectangle would be the same as the length of the cylinder, which is given as 0.35 units.

Finally, we connect the edges of the rectangle to the corresponding points on the circles, forming the net of the cylinder.

To know more about Rectangle .

https://brainly.com/question/25292087

#SPJ8

Answer:

as the last two months have a few minutes in a factory and we have a few minutes away and will also send the

TO complete the partial One Way ANOVA table without blocks, we will need to know the original values of the dealership and error degrees of freedom (df) and sum of squares (SS). Since you have not provided the values, the table if you have the necessary information:

1. DEALERSHIP: Keep the original dealership df and SS values, as they won't change in this case.

2. ERROR: Add the original dealership df and SS values to the error df and SS values, since you are removing the blocks from the analysis.

3. TOTAL: The total df and SS values remain the same as in the original RBD ANOVA table.

If you can provide the original values for dealership and error df and SS, I would be happy to help you complete the table.

Visit here to learn more about  ANOVA table : https://brainly.com/question/29744778
#SPJ11

Answer:

14

Step-by-step explanation:

(9x + 10)° = 136°

9x + 10 = 136

9x = 126

x = 14

Answer:

each student gets 1 sheet. There are 73 sheets left.

Step-by-step explanation:

Each student only needs 1 sheet and so you just do 80-7 and you get 73

Joe can afford a car loan of approximately $12,944.

To determine the loan amount Joe can afford, we need to calculate the present value of the continuous monthly payments he can make. Joe can pay $360 per month for 4 years, which amounts to a total of 4 * 12 = 48 payments.

The formula to calculate the present value of continuous payments is given by:

PV = (PMT / r) * (1 - e^(-rt))

Where:

PV is the present value of the continuous payments,

PMT is the monthly payment amount,

r is the annual interest rate, and

t is the loan term in years.

Substituting the given values, we have:

PMT = $360,

r = 0.125 (12.5% expressed as a decimal),

t = 4.

Plugging in these values, we can calculate the present value:

PV = (360 / 0.125) * (1 - e^(-0.125 * 4))

Using a calculator or spreadsheet, we find that the present value is approximately $12,944. Therefore, Joe can afford a car loan of approximately $12,944 and still make monthly payments of $360 for 4 years.

Learn more about annual interest rate here:

https://brainly.com/question/22336059

#SPJ11

Answer:

Part A) B

Part B) D

Step-by-step explanation:

Total sweets = 10

Red = 4

Green = 2

Yellow = 3

Purple = 1

A = 2/10 = 1/5

B = 3/10

C = 4/10 = 2/5

D = 1

Yellow sweets = 3

Total = 10

Probability = yellow/total

Hence, B shows the probability of showing a yellow sweet.

Sweets that are not orange = 10 (All sweets are not orange)

Total = 10

Probability = sweets that are not orange / total

Probability = 10 / 10

Hence, D shows the probability of choosing a sweet that is not orange.

\(\rule[225]{225}{2}\)

The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

To know more about critical value refer here:

https://brainly.com/question/32389590#

#SPJ11

Answer:

It should be somewhere near 3.16

Step-by-step explanation:

The square root of 10 simplified is around 3.16

Answer:

Estimated 3.16

Step-by-step explanation:

I'm taking the test right now. Mark brainliest if it helped.

The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity

Given that we have:

Therefore, when x approaches to negative infinity,

\(\lim_{x \to \infty} h(x)\)

= 2^(-∞-5)

= 2^(-∞)

= 1/2^∞

=0

Also, as x approaches negative infinity, function h(x) approaches 0.

Then when x approaches to positive infinity,

\(\lim_{x \to \infty} h(x)\)

2^(∞-5)

= 2^(∞)

= ∞

Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.

Read more about transformations here:

https://brainly.com/question/17936416

#SPJ1

Answer:

• 1/5=2/10

• 1/5=3/15

• 1/5=4/20

Explanation:

We draw horizontal lines across each of the diagrams.

Case 1

There are a total of 10 boxes.

There are two shaded boxes.

An equivalent form for this is:

Case 2

There are a total of 15 boxes.

There are three shaded boxes.

An equivalent form for this is:

Case 3

There are a total of 20 boxes.

There are four shaded boxes.

An equivalent form for this is:

Answer:

we will have a negative number

Answer:

0.0064

Step-by-step explanation:

Probability (2 sets of twins) :

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope and different y-intercept

perpendicular lines have the reciprocal as slopes( 2/5 and 5/2)

as these slopes have neither the answer in NEITHER

Answer:

x=19°

Step-by-step explanation:

Angles  ∡DBE ≅ ∡ACD= 3x  reason - angles with parallel arms

Angles ∡ADC and ∡ADB=95° are supplemental angles which means

∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°

In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>

85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95

x=95/5 => x=19°

Good luck!!!

The equation of the horizontal asymptote is:

y = 300

To find the equation of the horizontal asymptote for the function P(t), we need to analyze the behavior of the function as t approaches infinity. The horizontal asymptote represents the value that the function approaches as t becomes very large.

The given function is P(t) = 300 + (45t / (1 + 0.05t))

As t approaches infinity, the term (45t / (1 + 0.05t)) will become negligible compared to the constant term 300. This is because the denominator grows faster than the numerator, making the fraction approach zero. Therefore, the equation of the horizontal asymptote is:

y = 300

In the context of this problem, the horizontal asymptote represents the long-term equilibrium population of the fish in the lake. As time goes on, the fish population will approach and stabilize around 300. The asymptote indicates that there is a natural limit to the population growth, and the lake will reach a point of balance where the birth rate and death rate of the fish even out.

To know more about asymptotes visit: brainly.com/question/13019865

#SPJ11