Help me solve and show my work please

We can see here that filling up the remaining spaces:

AB ≅ CD: Opposite sides are congruent.

∠ABC and ∠BCD are supplementary: Consecutive angles are supplementary.

An angle is actually known to be a geometric figure that is formed by the joining together of two rays or endpoints which are known as vertex.

The sides or legs of the angle are known to be make up the rays.

Angles are actually known to be measured in degrees, with a full circle containing 360 degrees.

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Answer:

3/10 is smaller than 4/5. so no there are not

Step-by-step explanation:

pls mark  branliest

Answer:

no they are not equavilent because if you try to simplify then first of all you cant and second of all it wouldnt be equal

Step-by-step explanation:

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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The equation to find Shanti's age is y = x - 3 where y is Shanti's age.

Given,

Shanti's sister Uri is Shanti's age plus 3 years.

Uri is 7 years old.

We need to write an equation to find Shanti's age.

We have,

Uri age = Shanti age + 3______(1)

Uri = 7 years old

Putting in (1)

We get,

Uri age = Shanti age + 3

7 = Shanti age + 3

Subtracting 3 on both sides.

7 - 3 = Shanti age + 3 - 3

4 = Shanti age

We see that Shanti's age is 4 years old.

If we have to write an equation then,

Consider Uri's age to be x and Shanti's age to be y.

Now,

Uri age = Shanti age + 3

x = y + 3

Subtracting 3 on both sides

x -3 = y

y = x - 3 is our equation.

Thus the equation to find Shanti's age is y = x - 3.

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The percentage of the purchase price is 180%

In this question, the figures are given as

Amount bought = $55

Amount sold = $99

These figures can be represented as

Cost price = 55

Selling price = 99

The sales price as a percentage of the purchase price is then calculated as

Percentage = Selling price/Cost price

Substitute the known values in the above equation, so, we have the following representation

Percentage = 99/55

Evaluate

Percentage = 1.8

Express as percentage

Percentage = 180%

Hence, the percentage is 180%

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Answer:

B

Step-by-step explanation:

Hope this helps!

The probability of getting hearts or face cards is 25/52.

We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52 cards

Number of hearts = 13

Number of face cards = 12

Probability getting hearts = 13/52

Probability getting face cards = 12/52

P(Hearts or Face card) = 13/52 + 12/52

= 25/52

Therefore, the probability of getting hearts or face cards is 25/52.

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The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

Yes, he will have enough time to watch the entire film.

Step-by-step explanation:

5:30 to 6:30 is 1 hour of the movie completed.

6:30 to 7:30 is 2 hours completed.

7:30 plus 30 minutes brings him to 8:00.

8:00 plus the additional 5 minutes brings Greg to 8:05.

His movie ends at 8:05, so he will be able to watch the entire movie before going out.

Answer: He will have enough time to watch all of it.

Step-by-step explanation:

You add 2 hours and 35 minutes to 5:30 and you'll get 8 hours and 5 minutes. So he will have time to watch all of it.

the required generalization that can be made is at least half of the trout in both lakes measure between 12 and 18 inches.

What is median?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the centre of a sequence to determine its value.

range between quartiles (IQR), The IQR is the range of a data set's middle 50% of values. We must first identify the data set's quartiles in order to calculate the IQR.

We have three IQR data sets, which together range from 10 to 17, for the question at hand. This indicates that between 12 and 18 inches in length are the average trout size in both lakes.

Hence, the required generalization that can be made is at least half of the trout in both lakes measure between 12 and 18 inches.

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Answer:

less than 5 hmm lets see could it be 4

Step-by-step explanation:

Answer:

Q.6 answer is 4.

Step-by-step explanation:

4^3×4^3=4^3+3=4^6 (transpose 4^-3 of the denominator to the numerator in order to get the expression.)

4^6×4^-5=4^6-5=4^1=4

Hope it helps you.

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

x² = 12² + 9² = 144 + 81 = 225

x = 15 ft

so, the first answer option is correct.

The value of hypotenuse (x) in the right angled triangle is 15ft.

Given,

Right angled triangle .

Here,

Pythagoras theorem,

c² = a² + b²

here,

c = hypotenuse

a = perpendicular

b = base

Substitute the values in the formula,

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = 15 ft

Thus the length of hypotenuse is 15ft .

So, option A is correct.

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a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

25%

Step-by-step explanation:

Answer:

not 100% confident but I think this is at least close

Step-by-step explanation:

solve for one variable

1. x-5y=2

x=2+5y

plug this in to another equations and simplify

2. (2+5y)-y=16

2+4y=16

4y=14

y=3.5

this can be plugged in to all other equations to find x

1. x-5(3.5)=2

x-17.5=2

x=19.5

2. x-(3.5)=16

x=19.5

3. 2x-(3.5)=5

2x=8.5

x=4.25

4. x-3(3.5)=4

x-10.5=4

x=14.5

Answer:

y = |x+5|-7

Step-by-step explanation:

y = |x| is the parent function with vertex (0,0) so to get to (-5,-7) you need to move left 5 and move down 7

Answer:

length 5cm, width 4cm, door width 2/5cm or. 4cm, length 10 ft, width 7.5 ft

The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.

The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.

First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.

To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).

Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.

Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.

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Answer:

I think false

Step-by-step explanation:

The selling price of the oranges was 472.5 dollars.

The profit is equal to the difference between the selling price and the original cost price.

We have been given that a basket containing 150 oranges costs 450 find the selling price of an orange if it is to be sold at a profit of 5%

Let's start with the profit.

Let's convert 5% to decimal form to find out.

\(\implies 5\% = \dfrac{5}{100} = 0.05\)

Then double that by the starting price of 450.

\(450\times 0.05 = 22.5\)

As a result, the profit is $22.5.

Now, add the profit to the beginning cost to get the selling price.

\(450 + 22.5 = 472.5\)

Therefore, the selling price of the oranges was 472.5 dollars.

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Using monthly payment, the total amount paid is $18200.25 with an $1320.25 interest on the loan

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates

The formula to calculate monthly payment of a loan is given as

A = P[r(1 + r)ⁿ] / (1 + r)ⁿ - 1

where;

A)

Substituting the values into the formula

P = 21100 - 4200 = 16900

The interest rate on the loan is 3%;

Solving for A;

A = 16900[0.03(1 + 0.03)^60] / (1 + 0.03)^60 - 1

A = $18,220.25

b) The total interest he will pay is the final payment - principal

Interest = $1,320.25

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Answer:

36

Step-by-step explanation:

Angles in a triangle sum to 180 degrees.

The angle in the bottom left will equal 180 - (3x + 6) as angles along a staight line also sum to 180 degrees.

180 - ( 3x + 6)

180 - 3x - 6   [expand bracket]

174 - 3x

Now we can add up all the angles and equate them to 180 to solve for x.

24 + 2x + 18 + 174 - 3x = 180

216 - x = 180

216 = 180 + x

x = 36

Answer:

x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15

Explanation:

6 log₃ (0.5x) = 11

log₃ (0.5x) = 11/6

Here we make both sides the exponent of a base 3. It'll be the inverse function for the left hand side and cancel out the log.

3ˡᵒᵍ₃ ⁽ ⁰.⁵ˣ ⁾ = 3 11/6

0.5x = 3 11/6

Hence the answer:

x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15

Answer:

a,c,e

Step-by-step explanation:

on edge-

Answer:

The answer is A, C, E

The median of the given set of numbers is determined by rearranging them in ascending or descending order and selecting the middle number. Since the number of responses are even, we would find the mean of the two middle numbers. Rearranging the numbers in ascending order, it becomes

6, 12, 12, 13, 13, 15

The median = (12 + 13)/2 = 12.5

Mean = sumof responses/number of responses

Mean = (6 + 12 + 12 + 13 + 13 + 15)/6

Mean = 9.3