Mathematics High School

Help!!!! It’s due at 9:30 tomorrow

Answers

Answer 1

The two-column proofs of the segments are shown below

Proving that AG ≅ ED

The proof is as follows

Statement Reason

ABCD and BCDE are parallelogram Given

AG = BC Opposite sides of

parallelogram

ED = BC Opposite sides of

parallelogram

AG ≅ ED Substitution property (proved)

Proving that KLMN is a parallelogram

The proof is as follows

Statement Reason

KL || NM and ∠L ≅ ∠N Given

KN ≅ LM CPCTC

KL ≅ NM CPCTC

We've proved that the opposites sides are equal and parallel

So, KLMN is a parallelogram

Proving that STUV is a parallelogram

The proof is as follows

Statement Reason

ST || VU and W is midpoint of SU Given

SW = UW Definition of midpoint

VW = TW Definition of midpoint

VU = ST CPCTC

VS = UT CPCTC

We've proved that the opposites sides are equal and parallel

So, STUV is a parallelogram

Related Questions

if a watch was sold for RS 1656 after allowing 10% discount on the market price and adding 15% VAT ,find the discount amount

Answers

the discount amount is RS 160.

define discount

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. The discount may be a percentage of the original price or a specific amount of money.

Let the market price of the watch be x.

After allowing a 10% discount, the selling price becomes 0.9x.

Then, adding 15% VAT, the final selling price is:

0.9x + 0.15(0.9x) = 1.035x

We know that the final selling price is RS 1656, so we can set up an equation:

1.035x = 1656

Solving for x, we get:

x = 1600

Therefore, the market price of the watch was RS 1600.

The discount amount is the difference between the market price and the discounted selling price:

Discount amount = Market price - Discounted selling price

= 1600 - 0.9x

= 1600 - 0.9(1600)

= 1600 - 1440

= 160

So the discount amount is RS 160.

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WHAT EVEN IS THIS! PLEASE HELP

Answers

Step-by-step explanation:

It is a trapezoid with bases 9 and 12 ft and height ( dashed line) found using Pythagorean theorem = 4 ft

area = height * average of bases = 4 * (9+12)/2 = 24 ft^2

Please help me! This is due at 2:15 PM!!!! WHICH ALREADY PASSED!!! ITS GOING TO BE LATE> A game has 15 balls for each of the letters B, I, N, G, O. The table shows the results of drawing balls 1,250 times.
Letter Frequency

B 247

I 272

N 238

G 241

O 252

For which letter is the experimental probability closest to the theoretical probability? Explain please.

Answers

Answer: O: 252

Step-by-step explanation:

Theoretically, all of the letters would've been drawn 250 times as that is the theoretical possibility. The closest number to the theoretical number in this experiment would be 252 which belongs to O

Let x and y both represent rational numbers. Select whether each expression is always, sometimes, or never a
rational number.
x-y
x + y
Always Sometimes Never

Answers

The expressions x - y and x = y are sometimes a rational number.

Classifying the types of the numbers

From the question, we have the following parameters that can be used in our computation:

x and y = rational numbers

The difference of two rational numbers is always a rational number, so x - y is sometimes a rational number.

The sum of two rational numbers is always a rational number, so x + y is sometimes a rational number.

Therefore, both expressions are sometimes a rational number.

Answers

Fraction of the chocolates in the box that are dark chocolate and filled with caramel is 3/32.

To solve this problem, we need to determine what fraction of chocolates in the box are both dark chocolate and filled with caramel. We are given that:

Three-fourths of the chocolates in a box are dark chocolate. Three-eighths of the dark chocolates are filled with caramel. We need to find out the fraction of chocolates that are dark chocolate and filled with caramel. To find out the fraction of chocolates in the box that are dark chocolate, we divide the number of dark chocolates by the total number of chocolates.

This is given by:

3/4 (dark chocolates)

To find the fraction of dark chocolates that are filled with caramel, we multiply the fraction of dark chocolates by the fraction of dark chocolates filled with caramel. This is given by:

3/4 × 3/8 = 9/32

Therefore, the fraction of chocolates in the box that are dark chocolate and filled with caramel is 9/32.

To simplify the fraction 9/32, we can divide the numerator and denominator by their greatest common factor, which is 1:9/32 = 9 ÷ 1 / 32 ÷ 1 = 9/32.

Hence, the answer is 3/32.

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At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. The manager also noted that 40% of customers order food. For customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. What is the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item?
0.13
0.14
0.20
0.22

Answers

Let's use conditional probability to solve this problem. We want to find the probability of a customer purchasing a specialty espresso drink and a food item, so we can use the following formula:

P(specialty espresso drink and food) = P(food|specialty espresso drink) * P(specialty espresso drink)

We know that P(specialty espresso drink) = 0.56 and P(food|specialty espresso drink) = 0.35, so we can substitute these values into the formula:

P(specialty espresso drink and food) = 0.35 * 0.56

P(specialty espresso drink and food) = 0.196

Therefore, the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item is 0.196 or approximately 0.20 (rounded to two decimal places).

So, the answer is option C: 0.20.

would most people take the following gamble? flip a coin, if heads you win $75, if tails you lose $50. explain your answer.

Answers

Answer:

50/50 Chance

Step-by-step explanation:

I'm not sure if you wrote the entire question correctly, but the highest chance you would have of winning would be 100% because the 2 sides * the 50/50 chance they have. So that would make the odds of winning 50%.

IK THE PIC IS DARK BUT PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

For x

From -6 to 2 is 8 units from -6 to -1 is 5/8ths of this

to verify:

for y from 5 to -3 is 8 units 0 is 5/8 of this

5:8

Use a trigonometric ratio to solve for a. found to two decimal places as necessary cas22shapping to whoever gets it right

Answers

Answer: a = 16.62

Step-by-step explanation:

sin(37) = 10/a

a = sin(37) / 10

a = 16.62

Answer:

a ≈ 16.62

Step-by-step explanation:

using the sine ratio in the right triangle

sin37° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{a}[/tex] ( multiply both sides by a )

a × sin37° = 10 ( divide both sides by sin37° )

a = [tex]\frac{10}{sin37}[/tex] ≈ 16.62 ( to 2 decimal places )

The Boeing 747-8 Intercontinental Jet can carry approximately 63,500 gallons of jet fuel, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

Create a linear model that represents the amount of fuel on the plane, in gallons, as a function of the flight time, in hours. Show all of your work.

Answers

Answer: To create a linear model that represents the amount of fuel on the plane as a function of flight time, we need to use the given information to calculate the fuel burn rate of the airplane in gallons per hour.

Fuel burn rate = Fuel capacity ÷ Range

Fuel burn rate = 63,500 gallons ÷ 14,430 km = 4.4 gallons per km

We need to convert km to miles, as flight time is usually measured in hours and miles. We can use the conversion factor 1 km = 0.621371 miles to convert kilometers to miles.

Range in miles = Range in km ÷ 0.621371

Range in miles = 14,430 km ÷ 0.621371 = 23,594 miles

Fuel burn rate = Fuel capacity ÷ Range in miles

Fuel burn rate = 63,500 gallons ÷ 23,594 miles = 2.69 gallons per mile

Therefore, the linear model that represents the amount of fuel on the plane as a function of flight time, in hours, is:

Fuel on plane (in gallons) = Fuel capacity - Fuel burn rate x Flight time (in hours)

F(t) = 63,500 - 2.69t

where F(t) is the amount of fuel on the plane (in gallons) after flying for t hours.

Step-by-step explanation:

Kevin has $500 in his savings account and he deposits $25 each week. Janet has $250 in her savings account and she deposits $50 each week.

(a) Write a system of equations that represents the scenario

(b) Solve the system to determine after how many weeks Kevin and Janet will have the same amount of savings. What will that amount be?

Answers

Answer:

(a) Let x be the number of weeks and let y be the total amount in their savings accounts. Then, the system of equations that represents the scenario is:

Kevin: y = 25x + 500

Janet: y = 50x + 250

(b) To determine after how many weeks Kevin and Janet will have the same amount of savings, we need to solve the system of equations by setting them equal to each other:

25x + 500 = 50x + 250

Subtracting 25x and 250 from both sides, we get:

250 = 25x

Dividing both sides by 25, we get:

x = 10

Therefore, Kevin and Janet will have the same amount of savings after 10 weeks. To find out what that amount is, we can substitute x = 10 into either equation:

y = 25x + 500

y = 25(10) + 500

y = 750

So after 10 weeks, both Kevin and Janet will have $750 in their savings accounts.

Step-by-step explanation: explained it in the answer

Reasoning with similarity geometry please help. 40 points

Answers

Answer:

ABC and CEF are right triangles | definition of right triangle

ABC and CEF are 30-60-90 triangles | definition of 30-60-90 triangle

ABC is similar to CEF | Angle-Angle-Angle similarity theorem

A parabola is defined as the set of points the same distance from (6,2) and line y=4. Select all points that are on this parabola

Answers

In conclusion there are no points among the given options that are on the parabola.

why it is?

The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:

(x - h)²2 = 4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).

Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:

(x - 6)²2 = 4(y - 3)

Now we can check which of the given points satisfy this equation:

A. (4, 6)

(4 - 6)²2 = 4(6 - 3)

4 = 12 - 12