What does the Angle-Angle Criterion tell you about the relationship between two triangles?The first choose options (all 3 angles, 2 angles) Second choose options (all 3 angles, only 1 angle, 2 angles )The third choose options (congruent, similar)

We have the following:

the point are:

After applying the scale factor it would be

A' = (-6, -3)

B' = (-3, 6)

C' = (6, -3)

Algebraic Representation:

We will have the following:

***Explanation***

We have that absolute value is used in order to obtain magnitudes, and since magnitudes are positive those are the values we are going to obtain.

Now, for example:

|5| = 5

|-5| = 5

|420| = 420

|-69| = 69

|342| = 342

|-23| = 23

This is the nature of the absolute value, it gives us the positive value and thus the magnitude (In other words it removes the "direction" the value had.)

For the statement, "a number x is at least -4", it means x is greater than or equal to -4,

Writing in the inequality form below,

The answer is x ≥ -4

-3x+2y=23

Yes, the above equation is linear equation.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

The domain is the input values of the function, in this case, it would be the interval of values that x can take, while the range is the output values of the function, that is, in this case, it would be the interval of values that it can take y.

In the case of a reciprocal function, the domain is affected since the denominator can never be 0 since it generates a mathematical indeterminacy, therefore, we calculate the domain by setting the denominator equal to 0, just like this:

The range is affected by the fact that it can never be the value of 7, because the previous expression has no way of making it equal to 0, therefore the range would be:

Given that Mr. Sloan is charged $3 after 1 day, then if he is 9 days late, he will owe 9 times $3, that is, 3x9 = $27

Slope intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

So:

m=-1/4

b=2

The y- intercept is 2, which means the line crosses the y-axis at the point (0,2)

Given:

Function 1 is given in the graph.

Function 2 is,

To find:

The function has a larger maximum value.

Explanation:

From the graph,

We know that the maximum value of the function is the highest point of the function.

For the function 1, the maximum value is 1 at x = 4.

For the function 2,

Differentiating with respect to x, we get

Equate it with zero, and we get

Substituting x = 1 in function 2.

So, the maximum value is -14 at x = 1.

Then, comparing functions 1 and 2 we get,

Function 1 has the larger maximum value at (4, 1).

Final answer:

Function 1 has the larger maximum value at (4, 1).

we have

f(x)=2x^3+4x^2-2x-4

using a graphing tool

Find out the zeros of the given function

see the attached figure

the zeros are

-2, -1 and 1

that means

2x^3+4x^2-2x-4=2(x+2)(x+1)(x-1)

therefore

Solution

We are told that

and the standard position with P(u,v) = (3,4)

We want to find

First, We will draw the standard position

Notice that from the diagram above, the (3,4) indicates that the horizontal distance is 3 units and the vertical distance is 4 units

From the diagram above

Using SOHCAHTOA

We are left with computing

The addition formula for tan(A+B)

We now imput the values of tan

Therefore, the correct answer is -24/7

Option C

Given:

Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.

She has one more test to take and wants to get an average score of 80 or more on her tests.

Let the score of the final test = x

So, the average of the scores will be equal to or greater than 80

So, we have the following inequality

Solve for x:

So, the minimum score will be 56

Answer:

a = 2

Step-by-step explanation:

12a - 16a = -8

Collect like terms...

-4a = -8

Divide both sides of the equation by -4 to isolate the unknown variable...

a = 2

Hope this helps! :)

Answer:

a = 2

Step-by-step explanation:

1. Factor out an [tex]a[/tex] from [tex]12a-16a[/tex] to get [tex]a(12-16)=-8[/tex]

2. Simplify  [tex]a(12-16)[/tex] to get [tex]-4a=-8[/tex]

3. Finally, we divide -4 from each side to get [tex]a=2[/tex]

The standard form is the usual way in which numbers are written using the decimal system. Then, the standard form of 262,400, is:

The word form is the way the number should be read. Then, the word form of 262,400, is:

The expanded form of a number is a sum in which each part of the number is separated from the rest. For example, 27=20+7. In this case, the expanded form of 262,400, is:

To find the shaded area, we must subtract the unshaded area from the total area.

Total Area:
[tex]30*25=750[/tex]

To find the area of the unshaded rectangle, we must first find the length and width. To do so, subtract the smaller lengths from the larger lengths.

[tex]30-8=22\\25-4=21[/tex]

The length is 22cm, and the width is 21cm.

Now that we know the length and width of the unshaded rectangle, we can find the area.

[tex]21*22=462[/tex]

Now that we know the area of the unshaded, we can subtract it from the total area to get the shaded part.

[tex]750-462=288[/tex]

The shaded portion is 288 cm^2

Solution:

Given:

Solving the given inequality with the steps involved,

Therefore, the solution as inequality is;

The solution in interval notation therefore is;

Graphing the solution on a number line;

The t-shirts has a unit rate of $6.50

SOLUTION

Cost price =1500

Selling price =?

Percentage Profit =15%

Profit is

Selling price = Cost Price + Profit

Selling price = 1500+225

Selling price= 1725

Since he also wants to give a 25% discount,

The marked selling price can be gotten;

The mark selling price of the car is 2300

Melanie can spend on the items for each bag is  $5.05.

Your example is an equation since an equation is any expression with an equals sign. Due of mathematicians' love of equal signs, equations are commonly used in mathematical expressions. A formula is a collection of guidelines for producing a specific outcome.

Let cost of items for 4 bags be represented by x

Cost of 1 bag=$ 5

Cost of 10 bags=$ (4×5)   = $ 20    

Total cost of 10 bags with items in them=$(20+x)

discount : 20%

i.e. 0.20 + 20 +x

x + 20.2

Most  Melanie can spend for items in 4 bags=$20.2

Most  Melanie can spend for items in 1 bag=$(20.2/4)=$5.05

Hence, most Melanie can spend on the items for each bag is: $5.05.

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When Samantha was streaming "The Haunted Cave" the cellphone went from a level of battery charge of 76% to 16%. We need to calculate the rate at which the battery of the phone is drained while streaming this show. She watched three episodes of the show, each with 30 minutes. So the first step is to calculate the time she spent streaming it. Since she watched 3 episodes of 30 minutes each, the total time is the product between the number of episodes and the elapsed time.

Then we need to calculate how much of the battery was spent on that time. This is the difference between the charge when she started and the charge when she finished.

Now we can calculate the rate at which her battery is drained while watching that show, this is done by dividing the total battery spent by the elapsed time.

This rate means that for every minute watching this show she spends 2/3 of a % of battery.

She then charged the battery to 63% and went on a 24 minute bus ride while listening to Top Pop, this resulted on her battery dropping all the way to 59%. We need to do the same as above to find how much batter per minute this playlist consumes. We have:

The playlist spent 4% in 24 minutes, so the rate is:

While listening to Top Pop the cellphone discharges at a rate of 1/6 of a % per minute.

When she was on the bus home with her friend her battery was at a level of 29%, while his was at 55%. He then went to watch the haunted show, while she went to listen Play Top. If the rate is the same as we calculated above, then the level of battery of each person can be calculated by the starting level subtracted by the rate at which each app consumes the battery multiplied by the time they are using the app. So for each person we have:

To find the time it will take before the level of battery is the same on each device we need to make both equations equal and solve for t.

For both phones to achieve the same level of battery they'll need to use it for 78 minutes.

It was given that the receipt amounts to 23.45, let's then now proceed to compute the tip based on the formula we made.

Therefore, a good tip is 4.69.

We can calculate the average rate of change over an interval taking the variation of f(x) in the interval (between the last and first point) and dividing it by the difference between the last and first value of x.

For example, for an interval [a,b], the average rate of change is:

In this case, the interval is [-3,2], so we can write:

Answer: the average rate of change of f(x) in the interval [-3,2] is r=8.

Since 8 students share 12 oatmeasl muffins equally

Then, each student will get : 12/8 = 1.5

Similarly, since six students share 15apple muffins equally , then each student will get : 15/6 = 2.5

The total number of muffins Carmaine gets is : 1.5 + 2.5 = 4

The number of postcards she bought  is 40.

Your example is an equation since an equation is any expression with an equals sign. Due of mathematicians' love of equal signs, equations are commonly used in mathematical expressions.

A formula is a collection of guidelines for producing a specific outcome.

Write the equation by adding the total values of each item.

0.41 (2p+20)+0.26p = 51.40

We can solve this equation for p to find the number of postcards.

0.41(2p+20)+0.26p =51.40

0.82p+8.20+0.26p=51.40

1.08p=43.2

p=40

So, the number of postcards she bought  is 40. Since the number of 41-cent stamps is 20 more than twice the number of postcards, the number of 41-cent stamps is 2(40)+20=100.

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Answer:

0.007 n/m

Step-by-step explanation:trust cuh

a. The pressure is 175 N/m² the block exerts on the ground when it is flat ground. b. The pressure is 200 N/m²the block exerts on the ground when it is standing up on its side.

The force divided by the area perpendicular to the force across which the force is applied is referred to as pressure.

a) To calculate the pressure the block exerts on the ground when it is flat ground, we use the formula:

pressure = force/area

where force = 7 N and area = 0.04 m²

pressure = 7 N / 0.04 m² = 175 N/m²

b) To calculate the pressure the block exerts on the ground when it is standing up on its side, we use the same formula, but with a different area.

pressure = force/area

where force = 7 N and area = 0.035 m²

pressure = 7 N / 0.035 m² = 200 N/m²

The pressure exerted on the ground by the block will be greater when it is standing on its side than when it is flat on the ground due to the decrease of the area in contact with the ground

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Using proportions, it is found that the fraction by which these sales decrease in July is:

2/9.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division in the context of the problem.

In the context of this problem, it is found that;

The income is the multiplication of the number sold by the price, hence:

Income = 7/6 x 2/3 x n = 14/18n = 7/9n.

June's amount is given by:

n.

Hence the decrease fraction is:

1 - 7/9 = 9/9 - 7/9 = 2/9.

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Answer: OPTION A

F(x) is given as

To answer this question, we will set and solve a linear equation.

Let x be the original price of the painting, with the given information we can set the following equation:

Subtracting 500 from the above equation we get:

Dividing by 2 we get:

Therefore, the original price of the painting was

dollars.

Answer: $7750.

we have the second derivative of the function f(x)

step 1

Find out the first antiderivative of the given function

step 2

Find out the second antiderivative

therefore

ANSWER:

(a)

(b) The answer in part (b) agrees with that of part (a)

EXPLANATION:

Given:

a) We'll go ahead and determine the derivative of g(s) as seen below;

Let's go ahead and substitute the above values into the below Quotient Rule formula and simplify;

b) Let's go ahead and simplify g(s) as seen below;

We can see from the above that the answer in part (b) agrees with that of part (a)

If you put n = 1, we get:

f(1) = 15 + 2 (1-1)

= 15 + 2 (0)

= 15

So, we can say the initial value is 15.

If n = 2, we have:

f(2) = 15 + 2 (2-1)

= 15 + 2(1)

= 17

If n = 3, we have:

f(3) = 15 + 2(3-1)

= 15 + 2(2)

= 15 + 4

= 19

So, we see the sequence is:

15, 17, 19

starts with 15 and increases by 2

Suppose you have 15 dollars in your bank. Each day, you add 2 dollars to your account. How much money would you have after 12 days?

We will use the equation given and put n = 12, thus:

f(12) = 15 + 2 (12-1)

= 15 + 2(11)

= 15 + 22

= $37