Which two sets of angles are corresponding angles?
∠e and ∠h; ∠f and ∠g
∠e and ∠i; ∠f and ∠h
∠e and ∠g; ∠f and ∠h
∠e and ∠i; ∠f and ∠g

The product of the expressions (3p⁴)³ * (p²)⁷ is 27p²⁶

How to evaluate the product of the expressions

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

(3p⁴)³ * (p²)⁷

Expanding the brackets, we have

(27p¹²) * (p¹⁴)

Remove the brackets

So, we have

27p¹² * p¹⁴

Evaluate using the law of indices

27p²⁶

Hence, the product of the expressions is 27p²⁶

Question

Find the product

(3p⁴)³ * (p²)⁷

Answer:

A) a line perpendicular to a given line through a point on the line.

Step-by-step explanation:

Perpendicular means at a 90 degree angle.

As we can see, the arcs are crossing on a dotted line that is going through a point, and is perpendicular to the line the point is on.

in order to have the smallest possible number the numbers need to be arranged from smallest to largest

 using 3, 5 & 7 the smallest number would be 357

Final answer:

To find the dimensions of the rectangle, the problem was solved by setting up and solving equations based on the given perimeter and the relationship between the length and the width. It was found that the width is 25 feet and the length is 121 feet.

Explanation:

To solve the problem, we first need to set up equations based on the information given. We are told the perimeter of a rectangle is 292 feet and that the length (L) is 4 feet less than 5 times the width (W). The formulas for the perimeter (P) of a rectangle is P = 2L + 2W. The relationship between the length and the width can be expressed as L = 5W - 4.

Substituting the second equation into the first, we get: 292 = 2(5W - 4) + 2W.

Simplifying, we find that 292 = 10W - 8 + 2W, leading to 300 = 12W. Therefore, W = 25 feet. Substituting back to find L, we find that L = 5(25) - 4 = 121 feet.

Thus, the width of the rectangle is 25 feet, and the length is 121 feet, which corresponds to option C).

The total number of possible 6-letter computer passwords, without repetition and with restrictions on the first letter, is 7,893,600.

The question involves finding out the number of possible combinations for a 6-letter computer password where no letter is repeated and the letters 'Q' and 'Z' are not allowed in the first position.

For the first letter, we have 24 options (26 letters in the alphabet minus the two restricted letters, 'Q' and 'Z'). For the second letter, since the first letter has already been chosen and cannot be repeated, there are 25 options left. This pattern continues, reducing by one each time, leaving 24 options for the third, 23 for the fourth, 22 for the fifth, and 21 options for the sixth letter. The total number of possible passwords is calculated by multiplying all options together; hence, the answer will be 24 * 25 * 24 * 23 * 22 * 21.

The calculation yields a result of 7,893,600 possible passwords.

To find the number of different passwords possible, multiply the number of choices for each position: 24 * 25 * 24 * 23 * 22 * 21 = 39,825,600.

To find the number of different passwords that are possible, we can break down the problem into steps:

To find the total number of possible passwords, we multiply together the number of choices for each position: 24 * 25 * 24 * 23 * 22 * 21 = 39,825,600. Therefore, there are 39,825,600 different passwords that are possible.

The required standard form is 5y + 3x = 4 of the given linear equation.

A linear equation in one variable indicates an equation with just one variable. This indicates that there is just one solution to this linear equation. The standard or generic form of linear equations in one variable is expressed as follows:

Ax + B = 0

In this equation, A and B are integers, and x is a variable.

Ax + By = C is the standard form for a line equation. In this situation, using the equation 5y-4=-3x B=5 and A=-3 and C=-4, we may add both -4 and -3x to both sides to get Ax and By on the same side, and we get 5y+3x=4.

Thus, the required standard form is 5y + 3x = 4 of the given linear equation.

Learn more about the Linear equations here:

brainly.com/question/13738061

#SPJ2

The constant for relationship is 20.

When comparing two quantities of the same kind, ratio is utilized. For two numbers, a and b, the ratio formula is written as a: b or a/b. Two or more ratios are said to be in proportion if they are all equal. Fractions are the foundation of the concepts of ratio and proportion. The fundamental building blocks of numerous other mathematical notions are ratio and proportion.

Given The cooking time for a piece of meat is proportional to the weight of the meat.

given Weight (lb)     1.5   2.5   3.5

          time (min)      30    50   70

Acc. to question  time/weight = constant

= 30/1.5  = 50/2.5 = 70/3.5 = 20

Hence the constant is 20.

Learn more about ratio and proportions;

https://brainly.com/question/26974513

#SPJ2

The complete question is

The cooking time for a piece of meat is proportional to the weight of the meat.

         Weight (lb)     1.5   2.5   3.5

          time (min)      30    50   70

What is the value of the constant for this relationship.

Each day the lizards eat about 36 crickets when we round to the nearest whole number

To calculate how many crickets the lizards eat each day, we need to divide the weekly intake by the number of days in a week. The lizards eat 250 crickets per week. There are 7 days in a week.

So, we divide 250 by 7 which equals approximately 35.71 crickets per day.

Therefore, each day the lizards eat about 36 crickets when we round to the nearest whole number, since you can't have a fraction of a cricket.

I just saw that my answer to this was removed because brainly is removing some content to make room for more learning.

Since my answer seemed to help a lot of people, i'm reposting it!

Here's my answer: Paul is the oldest, then bill, and Fred is the youngest.