Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average

We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.

Their measures are given as:

∠UVW = x - 10

∠XYZ = 4x - 10

Adding these, we have:

(x - 10) + (4x - 10) = 90

Simplifying:

5x - 20 = 90

Adding 20 to both sides:

5x = 110

Dividing by 5:

x = 22

Substituting back:

∠UVW = 22 - 10 = 12°

∠XYZ = 4(22) - 10 = 78°

Therefore, the values are:

x = 22°

∠UVW = 12°

∠XYZ = 78°

Answer:

(1, 3)

Step-by-step explanation:

Provided:

A circle containing these specified points-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.

The function's input is characterized as the domain, and the output corresponds to its range.

The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.

This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.

In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.

Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.

Therefore, choosing (1, 3) is the right answer.

Answer:

The solution to your inquiry can be found below

Step-by-step explanation:

First method

                      20 = 5(-3 + x)                   expanding this equation

                     20 = -15 + 5x                    combine like terms

                     5x = 20 + 15

                     5x = 35                            dividing by 5

                     5x/5 = 35/5

                     x = 7

Second method

                     20/5 = 5/5 (-3 + x)          divide both sides by 5

                     4  = -3 + x                        adding 3 to both sides

                     4 + 3 = -3 + 3 + x            simplifying

                     7 = x