Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.
Which lines are parallel? Justify your answer.

Lines a and b are parallel because their corresponding angles are congruent.
Lines a and b are parallel because their same side exterior angles are congruent.
Lines e and f are parallel because their corresponding angles are congruent.
Lines e and f are parallel because their same side exterior angles are supplementary.

Answer:

116 degrees

Step-by-step explanation:

180 - (26 + 90)

180 - 116 = 64 degrees

180 - 64 degrees = 116 degrees

Angle 1 = 116 degrees

Hope that helps!

Answer:

<1 = 116

Step-by-step explanation:

90 + 26 + x = 180

116 + x = 180

x = 64

<1 + 64 = 180

<1 = 116

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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Answer:

$5.50

Step-by-step explanation:

L.B Johnson middle school held a track and field event

The chess club sold different drinks and snack item for both the audience and participants

They sold 486 items at a total of $2,673

Therefore the price of each item can be calculated as follows

= 2673/486

= 5.50

Hence the price of each item is $5.50

The Jacobian for this transformation is

\(J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ 0 & 3 \end{bmatrix}\)

with determinant \(|J| = 12\), hence the area element becomes

\(dA = dx\,dy = 12 \, du\,dv\)

Then the integral becomes

\(\displaystyle \iint_{R'} 4x^2 \, dA = 768 \iint_R u^2 \, du \, dv\)

where \(R'\) is the unit circle,

\(\dfrac{x^2}{16} + \dfrac{y^2}9 = \dfrac{(4u^2)}{16} + \dfrac{(3v)^2}9 = u^2 + v^2 = 1\)

so that

\(\displaystyle 768 \iint_R u^2 \, du \, dv = 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2 \, du \, dv\)

Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.

\(\begin{cases} u = r\cos(\theta) \\ v = r\sin(\theta) \\ u^2+v^2 = r^2\\ du\,dv = r\,dr\,d\theta\end{cases}\)

Then

\(\displaystyle 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2\,du\,dv = 768 \int_0^{2\pi} \int_0^1 (r\cos(\theta))^2 r\,dr\,d\theta \\\\ ~~~~~~~~~~~~ = 768 \left(\int_0^{2\pi} \cos^2(\theta)\,d\theta\right) \left(\int_0^1 r^3\,dr\right) = \boxed{192\pi}\)

Ms. Solis' 2008 Honda CR-V depreciates at an average rate of approximately 15.7% per year based on the given information.

To determine the depreciation rate of Ms. Solis' car, we can use the equation for exponential decay, y = \(a(1 - r)^t\), where y represents the current value of the car, a is the initial value, r is the depreciation rate, and t is the time in years. We are given that the initial value (a) of the car was $27,500 and the current value (y) in 2022 is $4,480.    

Substituting these values into the equation, we can solve for the depreciation rate (r). Rearranging the equation, we have: r =\(1 - (y/a)^(1/t)\). Plugging in the given values, we find r = \(1 - (4,480/27,500)^(1/14)\), where 14 represents the number of years from 2008 to 2022.  

Evaluating the expression, we find that r ≈ 0.157, or approximately 15.7%. Therefore, Ms. Solis' Honda CR-V depreciates at an average rate of around 15.7% per year. This means that, on average, the value of her car decreases by 15.7% each year since its purchase in 2008.

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Complete Question

We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys

Answer:

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Step-by-step explanation:

Let

The number of boys = x

The number of girls = y

We have 420 students

2 times 3 times the number of girls is equal to 2 times the number of boys

x + y = 420..... Equation 1

2 × 3y = 2x

6y => 2x

x => 6y/2 = 3y

We substitute 3y for x in Equation 1

3y + y = 420

4y = 420

y =>420/4

y => 105

Solving for x

x = 3y

x = 3 × 105

x = 315

Therefore,

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Answer:

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. So 3.5 times 10 to the power of -11

Census data available at the United States Census Bureau website is an example of public information.

Census data is collected by the government and is intended to provide statistical information about a population. It is considered public information because it is made available to the general public for research, analysis, and decision-making purposes.

The United States Census Bureau collects and publishes census data to ensure transparency and accessibility to a wide range of users, including policymakers, researchers, businesses, and the general public.

This data helps inform various aspects of society, such as planning public services, determining representation, and studying demographic trends. It is important to note that while individual responses to the census are confidential and protected by law, aggregated census data is made public to benefit society as a whole.

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Answer:

Herman is wrong.  Latoya got the better deal.

Step-by-step explanation:

Latoya bought 8 pounds of potatoes for $18.

    ► 18 / 8 = $2.25 per pound

Herman bought 6 pounds of potatoes for $15.

    ► 15 / 6 = $2.50 per pound

Cheaper per pound is better!

Step-by-step explanation:

Area of triangle (A1)

= 1/2 * b *h

= 1/2 * 1 * 1

= 1/2 ft

Area of rectangle (A2)

= L * b

= 3 *1

= 3 ft

Total area

= A1 + A2

= 1/2 + 3

= (1 + 6 ) / 2

= 7/2 ft²

= 3.5 ft²

Hope it will help :)

Answer:

-2  1 / 7 ....

Answer:

(a^4+b^4)/(a^2b^2)

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeee

No, the variances are not similar enough to use the pooled t test. The ratio of the two variances (25/8) is greater than 3, which is the typical cutoff for determining similarity of variances. Therefore, an alternative method such as the Welch's t-test or a non-parametric test should be used to compare the means.

To determine if the variances are similar enough to use a pooled t-test, you can perform an F-test for equality of variances. Follow these steps:

1. Calculate the F statistic by dividing the larger variance by the smaller variance: F = var2 / var1 = 25 / 8 = 3.125.

2. Determine the degrees of freedom for each group: df1 = 10 - 1 = 9 and df2 = 10 - 1 = 9.

3. Check the F critical value for the given degrees of freedom and chosen significance level (e.g., 0.05) using an F-distribution table or a calculator. For df1 = 9 and df2 = 9 at a 0.05 significance level, the F critical value is approximately 3.18.

4. Compare the calculated F statistic to the F critical value: 3.125 < 3.18.

Since the F statistic is less than the F critical value, we fail to reject the null hypothesis that the variances are equal. Therefore, the variances are similar enough to use the pooled t-test to evaluate differences in the means. The answer is yes.

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Answer: 1 year (year 15)

Step-by-step explanation:

109.5-86.0=23.5

128.4-109.5=18.90

140.8-128.4=12.4

158.7-140.8=17.9

182.1-158.7=23.4

23.5+18.9+12.4+17.9+23.4=96.10

96.10÷5=19.22

200-182.1=17.9

182.1+19.22=201.32 subs

Answer:

a) 25

b) 64

Step-by-step explanation:

a) \(x^{2}\)

Substitute x for 5

= \(5^{2}\)

Simplify

=25

b) \((x+3)^{2}\)=

Substitute x for 5

=\((5+3)^{2}\)

Simplify

=\(8^{2}\)

=64

Answer:

23/72 is the answer in simplest form

Step-by-step explanation:

Answer:

x=93

Step-by-step explanation:

Same explanation as last one I answered. :)

Answer:

mark can buy 6 packs of pens

Step-by-step explanation:

Mark has $30 and he wants to buy 3 notebooks. Each notebook is $5 ,so 5×3=15 witch leaves only 15 dollars left because that's half of 30 . Then you take your 15 dollars you have left and divide by 2.50 . This will give you 6 . that's how many packs of pens Mark can buy .

Answer:

Volume of cylinder B = 720 cm³

Step-by-step explanation:

Given:

A and B are similar cylinder

Height of cylinder B = 10 cm

Height of cylinder A = 5 cm

Area of the cross section for cylinder A = 18 cm²

Find:

Volume of cylinder B

Computation:

Area of the cross section for cylinder B = a

So,

(10/5)² = (a/18)

4 = a/18

Area of the cross section for cylinder B = 72 cm²

Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B

Volume of cylinder B = 72 x 10

Volume of cylinder B = 720 cm³

Answer:

I cant give you an answer but hints:

First you gotta know the angles of the triangle

then how many are there

then those lines in the middle is dividing lines so

right angles are 90 degrees

I would go for B then.

if not I'm sorry

Answer:

She spent 19.82 in all

Step-by-step explanation:

I added them

Answer:

Is it 90 degrees

Step-by-step explanation:

The straight up and down line gives it away.

Answer:

putting more than question is against app rules but alr

Part A: The value of each of the houses after a fixed number of years can be described by a linear function. This is because the value of each house increases at a constant rate, with the same amount added each year.

Part B: The function for House 1 could be written as f(x) = 294,580 + 8,937.6x, and the function for House 2 could be written as f(x) = 295,000 + 9,000x.

Part C: After 25 years, the value of House 1 will be approximately $750,834.40, and the value of House 2 will be approximately $753,000. The difference in value between the two houses after 25 years will be approximately $2,165.60, which is not a significant difference in the overall value of the houses. Therefore, either house would be a good choice for Belinda to purchase.

For the given coordinates the area of the triangle will be 248.5 square units.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,triangle TABLE has vertices M(-7,-1) A(5,6) L(2,-3)

x₁,y₁=(-7,-1)

x₂,y₂=(5,6)

x₃,y₃=(2,-3)

We must utilize the triangle's vertices to calculate the area of the triangle in order to obtain the equation,

S=1/2[-7(6-(-3)+5(-3-(-1)+2(-1-(6)]

S=248.5

Thus, for the given coordinates the area of the triangle will be 248.5 square units.

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Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

The experimental probability for the numbers are:

P(3) = 1/12 (in fraction)

P(3) = 0.08 (in decimal)

P(3) ≈ 8% (in percentage)

P(6) = 3/12  

P(6) = 0.25

P(6) = 25%

P(less than 4) = 6/12

P(less than 4) = 0.5

P(less than 4) = 50%

Probability is the likelihood of a desired event happening.

Experimental probability is a probability that relies mainly on a series of experiments.

Blake rolled a die 12 times and 3 appears once (Given in the table). The experimental probability for 3 will be:

P(3) = 1/12 (in fraction)

P(3) = 0.08 (in decimal)

P(3) ≈ 8% (in percentage)

Blake rolled a die 12 times and 6 appears 3 times (Given in the table). The experimental probability for 6 will be:

P(6) = 3/12  

P(6) = 0.25

P(6) = 25%

The numbers less than are 1, 2 and 3. Six of the twelve outcome in the table are less than 4.

P(less than 4) = 6/12

P(less than 4) = 0.5

P(less than 4) = 50%

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here is one I hope this helps lol I'll follow u if u follow me

Answer:

Yes. good job :)

keep up the good work 0u0

Step-by-step explanation: