the measure of angle G is six more than twice the measure of angle H. If angle G and angle H are complementary angles, find m angle H

Answer:

y=8 and x =-11

Step-by-step explanation:

kinda confused by the setting of the question

but i used this form ; 3x + 2iy+ xi + 5y = 7 + 5i instead of 3x+2iy xi+5y =7+5i

Then ;

you compare

3x + 5y =7....... equation 1

2iy + xi = 5i. ( cancel out i)

u get ; 2y + x =5 .......equation2

solve simultaneously by substitution method

giving u y=8

put value of y into equation 2 and get x=-11

hope that helps

Answer:

Step-by-step explanation:

Solving for a in steps:

Quadrilateral ABCD is congruent to quadrilateral A'B'C'D'. Therefore, the correct answer option is: a. Congruent.

In Mathematics, a transformation can be defined as the movement of a point from its original (actual) position to a final (new) location such as the following:

In Mathematics, a translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.

In conclusion, we can reasonably infer and logically deduce that quadrilateral ABCD and quadrilateral A'B'C'D' are congruent because quadrilateral ABCD was translated to form quadrilateral A'B'C'D'.

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Complete Question:

Fill in the blank in the sentence given below.

Quadrilateral ABCD is _____ to quadrilateral A'B'C'D'.

a. Congruent

b. Similar

c. Neither

Answer:

Dear user,

Answer to your query is provided below

82300000 in scientific notation = 8.23 × 10^7.

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

8.23 * 10^7

Step-by-step explanation:

82,300,000

Scientific notation is of the form a * 10 ^b

The number  a must be between 1 and less than 10

Move the decimal 7 places to the left b is +7 since we moved to the left

8.23 * 10^7

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

Answer:

140

Step-by-step explanation:

P = 2(L + w) = 2 x (54 + 16) = 140

Hope this helps :D

The correct statement regarding when the events will be independent is given as follows:

B. The probability of getting a red convertible is 0.06.

Two events, A and B are independent, if:

\(P(A \cap B) = P(A)P(B)\)

In this problem, the probabilities are given as follows:

The events will be independent if:

\(P(A \cap B) = 0.2 \times 0.3 = 0.06\)

The intersection of events A and B is a red convertible car, hence the correct option is:

B. The probability of getting a red convertible is 0.06.

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Answer:

1

Step-by-step explanation:

i am not sure but that is what i got.

Answer:

b). Commutative property

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

50/10 is 5 (which is 10%). 5 x 7 is 35 (or 70%)

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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Answer:4

5

÷

10

Rewrite the division as a fraction.

4

5

10

Multiply the numerator by the reciprocal of the denominator.

4

5

⋅

1

10

Cancel the common factor of

2

.

Tap for more steps...

2

5

⋅

1

5

Multiply

2

5

by

1

5

.

2

5

⋅

5

Multiply

5

by

5

.

2

25

The result can be shown in multiple forms.

Exact Form:

2

25

Decimal Form:

0.08

Step-by-step explanation:

Answer:

x=3

y=7

Step-by-step explanation:

Answer:

x = 3; y = 7

Step-by-step explanation:

Hoped this helped

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Using simple interest his monthly installments are $1243.38

The amount on Simple interest is given by A = P(1 + rt) where

Now, since Justin purchased his dream car worth $18500 on a finance for 4 years. He was offered 6% interest rate. Assuming no other charges and no tax, we want to find his monthly installments.

His installments are his principal. so, making P subject of the formula, we have that

P = A/(1 + rt)

Given that

Substituting the vales of the variables into the equation, we have

P = A/(1 + rt)

P = $ 18500/(1 + 0.06 × 4)

P = $ 18500/(1 + 0.24)

P = $ 18500/1.24

P = $ 14919.35 per year

To find his monthly installments, we divide P by 12.

So, P' = P/12

= $ 14919.35/12

= $1243.38

So, his monthly installments are $1243.38

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One egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

Let's call the amount of cholesterol in one egg "x".

Then, the amount of cholesterol in one cupcake is "y" and the amount of cholesterol in one slice of pizza is "z".

From the first statement, we can set up the equation:

x + y + z = 302

From the second statement, we can set up another equation:

3y + 4z = 89

And from the third statement, we can set up a third equation:

3x + y = 844

Now we have three equations with three unknowns, so we can solve for the values of x, y, and z.

Starting with the third equation:

3x + y = 844

y = 844 - 3x

Next, we can substitute this expression for y in the first equation:

x + (844 - 3x) + z = 302

4x + z = -542

z = -542 - 4x

Finally, we can substitute these expressions for y and z in the second equation:

3y + 4z = 89

3(844 - 3x) + 4(-542 - 4x) = 89

2532 - 9x + -2168 - 16x = 89

536 - 25x = 89

25x = 536 - 89

25x = 447

x = 17.88

Hence, one egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.

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The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).

The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.

So, in this case:

Values: 25, 50, 75

Number of Values: 3

Thus, the average:

Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50

Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

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The energy is compared based on the information given below.

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

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The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

Events A and B are independent of each other, so P⁡(B∣A)=P⁡(B)=0.95726.

Explanation -

I got this answer from Plato.

Answer

23.28

Step-by-step explanation:

34 ÷ 2 = 17 and 17 + 6.28 = 23.28

Answer:

x = 2.55 (rounded)

x = 2. 5454545455 (exact)

Step-by-step explanation:

We can change this sentence, into a mathematical expression and solve:

5.5 · x = 14

x = 14 / 5.5

x = 2.5454545

x = 2.55 (rounded)

Hope this helps!!

Answer:

Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing ...

-by-step explanation:

Answer:

A

Step-by-step explanation:

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Speed of Carmen = 40km/h

and speed of Carmella = 60km/h

Step-by-step explanation:

Let the speed of Carmen = x km/h

Carmella speed will be (x + 20)km/h

Distance = 120 km

Time between Carmen and Carmella = 1 hour

\( \sf Time= \frac{distance}{speed} \)

Let the time taken by Carmen be T1

and Carmella be T2

\( \sf So \: T_1 = \frac{120}{x} \: and \: T_2 = \frac{120}{x + 20} \)

As there is 1 hour difference so

\( \sf T_2 - T_1 = \: 1 hour \\ \\ \\ \sf \implies \frac{120}{x } - \frac{120}{x + 20} = 1 \\ \\ \\ \sf \implies \frac{120(x + 20) - 120x}{x(x + 20)} = 1 \\ \\ \\ \sf \implies 120x + 2400 - 120x = {x}^{2} + 20x \\ \\ \\ \sf \implies 2400 = {x}^{2} + 20x \\ \\ \\ \sf \implies 0 = {x}^{2} + 20x - 2400 \\ \\ \\ \sf \implies 0 = {x}^{2} + 60x - 40x - 2400 \\ \\ \\ \sf \implies0 = x(x + 60) - 40(x + 60) \\ \\ \\ \sf \implies 0 = (x + 60)(x - 40) \\ \\ \\ \sf \implies \red{\boxed{x = 40km}}\)

We have not considered 60 as it will become negative value and negative value is not possible in distance

Speed of Carmen = 40km/h

Speed of Carmella = 40 + 20 = 60km/h