Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day?

The pair of angles that are vertical are <TRS and <VRW.

To calculate vertical angles, take the following actions:

Recognize the intersecting lines: Vertical angles are created when two lines cross.

Find the common vertex: The point where the two lines join is the common vertex for vertical angles.

Recognize the pairs of opposite angles: Two pairs of opposite angles cross the intersection point to generate vertical angles.

Hence the pair of angles that are vertical are <TRS and <VRW.

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To solve the given triangle with A = 46°, a = 31, and b = 27, we use the Law of Sines to first find angle B, then use the sum of angles to find angle C, and finally, use the Law of Sines again to find side c.

To solve the triangle with the given information A = 46°, a = 31, and b = 27, we need to use the Law of Sines or the Law of Cosines. Since we have one angle and the side opposite to it (a = 31), as well as another side (b = 27), we first need to find angle B using the Law of Sines:

By solving for sin(B), we get:

Next, we calculate the value of sin(B) and then angle B. After that, we can find angle C by using the fact that the sum of angles in a triangle is 180°:

Once we have angle C, we can use the Law of Sines again to find side c:

By rearranging and solving for c, we get:

This process will give us the lengths of all sides and the measurements of all angles, thus solving the triangle.

Answer: We can say that the other number is even since the sum of two even numbers is even.

The required conjecture is given as the other number must be an even number.

An even number is defined as a number that is a multiple of 2 is called even number, such as 2, 4, 6, 12, and so on.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
The sum of two even numbers is even. Following the statement,
If the sum of 6 and another number is even, that another number must be even to get the sum of 6 and another number to be even, while 6 it self is an even number.

Thus, the required conjecture is given as the other number must be an even number.

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Answer:

Nope! The answer is 2 Nonreal Solutions i took the test! :)

Step-by-step explanation:

The given quadratic equation will have 2 nonreal solutions. The correct option is A.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that the quadratic equation is 6x²−2x+7=0. The equation can be solved as below;-

6x²−2x + 7 = 0

The equation will have two non-real values for x. The correct option is A.

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Answer:

Complete factorization of 3x+24 is:

3(x+8)

Step-by-step explanation:

we have to completely factorize:

3x+24

Taking 3 common in the above expression

3(x+8)

This cannot be factorized further

Hence, complete factorization of 3x+24 is:

3(x+8)

These numbers are called power of ten. A power of ten is 10 multiplied by itself the exponent number of times. For example:

We can write 10 as 10¹

100 as 10²

1000 as 10³

The exponent is equal to the number of zeros in the number like 100 has 2 zeros so the exponent is 2 and write it as 10²

Martha can ensure she has money to pay for college by starting or adding to a college savings account, maintaining high grades, getting involved in extracurricular activities, and filling out the FAFSA immediately.

Martha can take the following steps to ensure she has money to pay for college:

The steps Martha should take to ensure she has money to pay for college are as follows:

1. She should start or add to a college savings account so it can grow with deposits and earned interest. This is a proactive step that allows the money to benefit from compound interest over time.

2. She should ask her parents if they have a college savings account set up for her. It's important to know if there are existing funds that can be used for her education.

3. She should work to maintain high grades throughout school so she can qualify for scholarships. Many scholarships are merit-based, and good grades are often a key criterion.

4. She should get involved in extracurricular activities like clubs and sports so she can discover what she enjoys and qualify for scholarships. Participation in these activities can make her a well-rounded candidate for scholarships that value leadership and community involvement.

5. She should fill out the FAFSA (Free Application for Federal Student Aid) when she is eligible, which is typically during her senior year of high school. This form is crucial for accessing federal grants, loans, and work-study opportunities, as well as some state and college-specific aid.

6. While asking friends and neighbors to contribute to her college savings account could potentially help the account grow faster, it is not a conventional or reliable method for funding college education. Therefore, it is not a primary step she should take.

In summary, Martha should focus on saving money, exploring existing savings, maintaining good grades, engaging in extracurricular activities, and preparing to fill out the FAFSA. These steps will help her secure funding for college through savings, scholarships, and financial aid.

Answer:

ST = 16.

Step-by-step explanation:

Given  : P is the midpoint of ST, SP = x + 4, and ST = 4x,

To find :  Determine the length of ST.

Solution : We have given P is mid point of ST.

It mean P divide the ST in to two equal parts .

So, SP = PT .

We can say

ST  = 2 SP .

Plug the given values SP = x + 4, and ST = 4x,

4x = 2 ( x +4).

4x = 2x + 8.

On subtracting both sides by 2x

4x -2x = 8.

2x = 8

On dividing both sides by 2

x = 4.

ST = 4 * 4 = 16.

Therefore, ST = 16.

Answer:

A. AngleGNH and AngleHNJ are complementary.

C.AngleKNL and AngleLNM are complementary.

D.mAngleHNK + mAngleKNL = 180°

Step-by-step explanation:

The function which has the  fastest rate for increasing values of x are:

                     [tex]p(x)=5x^3+3[/tex]

We are given four polynomial functions as:

[tex]p(x)=5x^3+3\\\\\\ f(x)=8x^2-3x\\\\\\h(x)=2x\\\\\\g(x)=19x[/tex]

Now as we know that if the degree of the polynomial increases the function becomes more extreme i.e. it increases very quickly with the increasing value of x.

Hence, among the given options the function which has the fastest rate of increase is:

                            [tex]p(x)=5x^3+3[/tex]

( Since, it's degree is 3 which is highest as compared to the other polynomials (one of degree 2 and 2 of degree 1) )

Answer:

$18,000

Step-by-step explanation:

It is given that the interest amount $6,300

We will calculate the principal amount.

So we use the formula

I = prt

P = Principal amount

r = rate of interest 7% ( 0.07 )

t = time in years 60 months ( [tex]\frac{60}{12}[/tex] years )

6,300 = P × 0.07 × [tex]\frac{60}{12}[/tex]

6,300 = P × 0.07 × 5

6,300 = 0.35P

[tex]\frac{6,300}{0.35}[/tex] = P

P = $18000

The original loan amount was $18,000.  

Answer: If adding exponents, they have to the same value or same coefficient.

For example:

1) 2x^2+2x^2= 4x^2

24/2 = 12

 the quotient is 12

Answer: So your answer is 12 for 24 divided by 2 which gives you 12 I hope this helps

Step-by-step explanation:

24 divided by 2 = 12

12 times 2= 24

Or 2 times 12 = 24

Answer: the guy above is right for anyone looking at this and was sceptical

Step-by-step explanation: