Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line

answer:

Detailed explanation:

Option A: $1,565 monthly over 72 months

The total comes to $112,680

Option B: $1,012 each month for 10 years,

which is the same as 120 months

Thus, the total amount received is 1012×120

equaling $121,440.

Option C:

Receive $100,000 in a single payment.

All the details presented are accurate.

However,

As the individual has no preference whether to take the money personally or let it go to an heir, we can disregard the lump sum payment option of $100,000.

Furthermore, as they are willing to wait and are indifferent about who benefits from the insurance payout, the 72-month option can also be overlooked.

Therefore, choosing the second option is advisable since it provides the highest total and the most payments over time.

Waiting for ten years will yield $121,440.

Answer:

Attached is the question in consideration.

forms a straight line.

depicts a right triangle.

The options represent the correct answers.

Step-by-step explanation:

⇒ Given that  is ⊥ it constitutes a right triangle, leading to .

⇒ The measure for equals as bisects , implying that is half of , thus  .

⇒ represents a straight line, as the angle measures across it yield .

⇒ The angle measure for is derived from the linear pair concept.

The other two options are incorrect as:

       it surpasses while is a               

      straight line.

• Also, is inaccurate.

     As and

Thus, we have a total valid answers.

The confirmed options are .

Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = (x+2)

and g(x) = (x+5)

Substituting f(x) and g(x) into equation (1):

→ (x+5) = (x+2) + k

→ = k

→ k =

Thus, the value of k is 1.