find the angles marked with the letters​

Answer:

I agree with Leslie. You must add the first terms to get 19y. then when you add -12y, you subtract 12y from 19y to get 7y.

Step-by-step explanation:

17y + 2y - 12y = 19y - 12y = 7y

Answer: I agree with Leslie. You must add the first two terms to get 19y. Then when you add -12y, you subtract 12y from 19y to get 7y.

Answer: 2(10-y)=20-2y

Step-by-step explanation:

First, you distribute 2 to 10. Then times 2 to -y.

Answer:

point form: (-3, 5)

equation form: x = -3, y = 5

Answer:

The true statements are the first three.

Step-by-step explanation:

First statement

According to pythagorus's theorem, the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. This is what the first statement says, so it is true.

Second statement

The 4 blocks north and 8 blocks east Mary travels can be drawn as shown below. If we construct a direct line from the start to the end of her journey, we now have a right-angled triangle, with this direct line as the hypotenuse. So we can use pythagorus's theorem, as explained above, to find the length of this line.

The sum of the squares of the other two sides is: 4²+8²=16+64=80

So the hypotenuse, or direct line, is the square root of this: √80=√(4²)(5)=4√5.

This distance divided by √5 is in fact 4, so the second statement is true.

Third statement

The distance Mary would travel in a direct line is 4√5 which is equal to roughly 8.944, which is just under 9blocks. So the third statement is also true.

Fourth statement

We have figured out that the first three statements are true, so the claim none of them are true is false.

Hope this helps! Let me know if you have any questions :)

Answer:

X is 90 y is 43

Step-by-step explanation:

To get all whole number subscripts in the empirical formula, you would need to multiply the subscripts by a common factor that will give you the smallest possible whole numbers. In this case, you would need to multiply all subscripts by 3 to get C8H9O3.

This is because 2.67 is approximately equal to 8/3, 3 is approximately equal to 9/3, and 1 is equal to 3/3. Multiplying by 3 will simplify the subscripts and give you a whole number ratio of atoms in the empirical formula. This method works for any pseudo-formula with non-whole number subscripts, as long as you find a common factor to multiply by that will give you whole numbers.

In this case, you can divide each subscript by the smallest one (1) to get the ratio: C2.67: H3: O1. Now, find the smallest whole number that can convert 2.67 into a whole number when multiplied. In this case, that number is 3. So, multiply all subscripts by 3:

C(2.67 x 3)H(3 x 3)O(1 x 3) = C8H9O3

This gives you an empirical formula of C8H9O3.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Let's use an equation to solve this problem.

\(y=24x+16\)

Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.

\(57=24x+16\)

\(41=24x\)

\(x=\frac{41}{24}\)

Which simplifies around to $1.71 dollars.

Hope this helps.

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Answer:

Step-by-step explanation:

9

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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In reality, however, the two drugs do not differ. This is an example of a Type I errors.

In statistics, a Type I error, also known as a false positive or alpha error, occurs when a null hypothesis that is actually true is rejected. In the context of the given randomized trial, the null hypothesis states that there is no difference between the efficacy of the two drugs.

However, due to random chance or other factors, the trial yielded a statistically significant difference (with a P value < 0.05) between the drugs, leading to the rejection of the null hypothesis.

In reality, since the two drugs do not actually differ in efficacy, the observed difference is likely due to random sampling variability or experimental error. A Type I error can occur when the significance level (alpha) used in the hypothesis test is set too low, leading to a higher likelihood of rejecting the null hypothesis incorrectly.

It is essential to consider Type I errors and carefully interpret the significance of study findings to avoid drawing erroneous conclusions based on statistical significance alone.

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Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

Answer:

Step-by-step explanation:

2030615 avatar

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Thus, the inverse Laplace transform is found as: f(t) = 1/4h(t-2) + (1/4 - 1/2e2ln(2))h(t) - 1/4h(t+ln(2)) + C, in which C is a constant.

To find the inverse Laplace transform of F(s) = 1e2/(s+2)(1+e-2s)2, we need to use partial fraction decomposition and the Laplace transform table.

First, let's rewrite F(s) using partial fraction decomposition:
F(s) = 1e2/[(s+2)(1+e-2s)2]
= A/(s+2) + (B + Cs)/(1+e-2s) + (D + Es)/(1+e2s)

where A, B, C, D, and E are constants to be determined.

To find A, we multiply both sides by (s+2) and then let s=-2:
A = lim(s→-2) [s+2]F(s)
= lim(s→-2) [s+2][1e2/[(s+2)(1+e-2s)2]]
= 1/4

To find B and C, we multiply both sides by (1+e-2s)2 and then let s=ln(1/2):
B + C = lim(s→ln(1/2)) [(1+e-2s)2]F(s)
= lim(s→ln(1/2)) [(1+e-2s)2][1e2/[(s+2)(1+e-2s)2]]
= 3/4

B - C = lim(s→ln(1/2)) [(d/ds)(1+e-2s)(1+e-2s)F(s)]
= lim(s→ln(1/2)) [(d/ds)(1+e-2s)(1+e-2s)][1e2/[(s+2)(1+e-2s)2]]
= -1/2

Solving for B and C, we get:
B = 1/4 - 1/2e2ln(2)
C = 1/2 + 1/2e2ln(2)

To find D and E, we repeat the same process by multiplying both sides by (1+e2s) and letting s=-ln(2):
D + E = lim(s→-ln(2)) [(1+e2s)F(s)]
= lim(s→-ln(2)) [(1+e2s)][1e2/[(s+2)(1+e-2s)2]]
= -1/4

D - E = lim(s→-ln(2)) [(d/ds)(1+e2s)F(s)]
= lim(s→-ln(2)) [(d/ds)(1+e2s)][1e2/[(s+2)(1+e-2s)2]]
= -1/2

Solving for D and E, we get:
D = -1/4 - 1/2e-2ln(2)
E = -1/4 + 1/2e-2ln(2)

Therefore, F(s) can be rewritten as:
F(s) = 1/4/(s+2) + (1/4 - 1/2e2ln(2))/(1+e-2s) + (-1/4 - 1/2e-2ln(2))/(1+e2s)

Using the Laplace transform table, we know that:
L{h(t-a)} = e-as
L{C-1} = C

Therefore, the inverse Laplace transform of F(s) is:
f(t) = L-1{F(s)}
f(t) = 1/4h(t-2) + (1/4 - 1/2e2ln(2))h(t) - 1/4h(t+ln(2)) + C
where C is a constant.

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\(\\ \sf\Rrightarrow y=-x+2\)(1)

\(\\ \sf\Rrightarrow y=x+1\)(2)

Now

\(\\ \sf\Rrightarrow -x+2=x+1\)

\(\\ \sf\Rrightarrow -2x=-1\)

\(\\ \sf\Rrightarrow x=0.5\)

Put in eq(2)

\(\\ \sf\Rrightarrow y=0.5+1\)

\(\\ \sf\Rrightarrow y=1.5\)

The difference between a theorem and a conjecture :-

Theorem :- Something which is true and can be proved .

I am giving a very simple example here .

Angle sum theorem :- sum of all angles in a triangle will be equal to 180° .

This is a theorem because every interior angle of a triangle will add up to 180° . It cannot change .

So , something that is definitely true and can be proved is a theorem .

Conjecture :- Something that is supposed to be true , but still hasn't been proved to be true .

Example :-

1a = 10

2a = 20

3a = 30

With this you can guess that 4a must be equal to 40 , but it can't be proved without using algebra .

Therefore , something which is likely to be true is a conjecture ( in maths ) .

Answer:

-21

It is explained as in the file attached above.

Hope It Helps.

Answer:

-21

Step-by-step explanation:

-5p² - 8p

Let p = -3

Evaluate the expression

-5 ( -3) ^2 - 8(-3)

-5 ( 9) +24

-45 + 24

-21

The measure of an angle if it is five times its complement: 75 degrees

Let us assume that the complement of the angle measures m degrees.

we have been given the measure of the angle is five times its complement.

So we get the measure of the angle = 5 × m

We know that two angles are complementary when their measures add to 90 degrees.

So we get an equation, m + 5m = 90

We solve above equation to find the value of m.

m + 5m = 90

6m = 90

m = 90/6

m = 15 degrees

This means, the measure of complement of the angle is 15 degrees.

And the required angle would be,

5 × 15 = 75 degrees

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The comple question is:

What is the measure of an angle if it is five times its complement?.

Answer:

134.44 cm

Step-by-step explanation:

Given that:

Length of ramp, = 158 cm

Height of truck, = 83 cm

The distance from end of ramp to base of truck ;

Using Pythagoras rule :

The diagram is in the picture attached ;

Opposite = sqrt(hypotenus² - adjacent²)

d = sqrt(158² - 83²)

d = sqrt(24964 - 6889)

d = sqrt(18075)

d = 134.44 cm

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

I think its D

Step-by-step explanation:

You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D

the simplified  form  of expression is: -(x² + 2x - 2)/((x+2)*(x+4))

what is expression  ?

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. Expressions can be simple or complex

In the given question,

To evaluate the expression 1/(x+2) - (x+1)/(x+4), we need to find a common denominator for the two terms. The least common multiple of (x+2) and (x+4) is (x+2)(x+4).

So, we can rewrite the expression as:

(1*(x+4) - (x+1)(x+2))/((x+2)(x+4))

Expanding the brackets, we get:

(x+4 - x² - 3x - 2)/((x+2)*(x+4))

Simplifying the numerator, we get:

(-x² - 2x + 2)/((x+2)*(x+4))

Therefore, the simplified expression is:

-(x² + 2x - 2)/((x+2)*(x+4))

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Answer:

acute

Step-by-step explanation:

9 is bigger than 6

12 is bigger than 9

therefore all the angles will be smaller than a right angle

this makes the triangle acute

The gate code to a gated community consists of the # key, followed by 3 letters chosen from the English alphabet, followed by 3 digits. The total number of possible gate codes is 17.576,000.

To find the total number of possible gate codes for the gated community, we need to determine the number of choices for each part of the code and multiply them together.
1. The gate code starts with the # key, which is constant, so there's only 1 choice for this part.
2. The next part consists of 3 letters chosen from the English alphabet. There are 26 letters in the alphabet, and each of the 3 positions can be filled with any of those letters. So, the number of choices for this part is 26 * 26 * 26.
3. The last part of the code consists of 3 digits. Since there are 10 digits (0-9), there are 10 choices for each digit. Therefore, there are 10 * 10 * 10 choices for this part.
Now, we'll multiply the number of choices for each part together to get the total number of possible gate codes:
1 * (26 * 26 * 26) * (10 * 10 * 10) = 1 * 17576 * 1000 = 17,576,000
So, there are a total of 17,576,000 possible gate codes for the gated community.

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Answer:

work is shown and pictured

The point-slope form of the line is \(y-19=2(x-5)\).

Important information:

We need to find the point-slope equation for the line

The point-slope form of a line that passes though the points \((x_1,y_1)\) and \((x_2,y_2)\) is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Substitute \(x_1=5,y_1=19,x_2=-5,y_2=-1\).

\(y-19=\dfrac{-1-19}{-5-5}(x-5)\)

\(y-19=\dfrac{-20}{-10}(x-5)\)

\(y-19=2(x-5)\)

Thus, the point-slope form of the line is \(y-19=2(x-5)\).

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the answer is correct

we have to check that if we operate the numbers that are inside the box we get the numerator

Answer:

x = 8 base angle = 81 degrees

Step-by-step explanation:

Answer:

x = 8

base angle = 81 deg

Step-by-step explanation:

we observe that because the given triangle is a isosceles triangle, the base angles must be the same.

Hence the missing base angle must also be (10x+1)°

recall that all internal angles of an triangle must add up to 180 deg,

hence

180° = sum of all internal angles

180° = 18° + (10x+1)° + (10x+1)°

180° = 18° + 2(10x+1)°    (subtracting 18 from both sides)

180 - 18 = 2(10x+1)

162 = 2(10x+1)   dividing both sides by 2)

162 / 2 = 10x + 1

81 = 10x + 1    (subtracting 1 from both sides)

81 - 1 = 10x

10x = 80   (divide both sides by 10)

x = 80/10

x = 8   (answer)

substituting x = 8 into the expression for the base angle

base angle = (10x+1)

= 10(8) + 1

= 10 + 1

= 81

Answer:

i believe so

Step-by-step explanation:

The variables that

x + y = 2100  

5 x + 7 y = 11700  

Let x = total dollar amount of sales of phone;

      y = total dollar amount of sales of computer

for total sales of phones anna earns 5% commission

So anna 's commission = 5% of x

                                       = 0.05x

for total sales of computer anna earns 7% commission

So anna 's commission = 7% of y

                                       = 0.07y

Given the total sales; x + y = 2100

And commission; 0.05x + 0.07y = 117; or 5x + 7y = 11700

Therefore the system of equations are

x + y = 2100   …….equation (1)

5 x + 7 y = 11700  ……equation (2)

In mathematics, a variable is a symbol and placeholder for any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.

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