What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle two-column

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.

Response:

  14 feet

Detailed explanation:

<pThere are 3 feet for each yard, resulting in a total of 36 feet in 12 yards. The leftover ribbon will equal the initial amount minus what has been utilized.

  36 - 22 = 14.... feet left

A)
4(q - 10) = 76..... Tim earned 4 points for each correct answer, totaling 76 points. He got 10 answers right less than the total number of questions on the test.

b)
q = 10 + 76/4
q = 29

Thus, the overall number of questions on Tim's math test amounted to 29.