Afamily is driving from phoenix to san francisco. on a map grid, phoenix is located at (–12, –16), and san francisco is located at (–36, 5). along the trip, the family stops in blythe, located at (–20, –9), and los angeles, located at (–33, –4) on the map. find the total distance of the trip. a. d = 21.26 b. d = 24.19 c. d = 28.24 d. d = 34.05 pl me assap

D. d = 34.05

Step-by-step explanation:

For multiple-choice questions it is only necessary to eliminate answer choices that cannot possibly be correct. Quite often, this means an estimate of the appropriate answer is sufficient, and it is not necessary to work the problem in all its detail.

Here, a plot of the points, or a simple check of the slope of a couple of the trip segments is sufficien to tell you the points are not all on a straight line. So, the total distance will be longer than the straight-line distance from start (-12, -16) to finish (-36, 5).

The finish is -36-(-12) = -24 units east of the start, and 5-(-16) = 21 units north. The distance formula (or Pythagorean theorem) will tell you the straight-line distance is ...

... d = √((-24)² +21²) = √1017 ≈ 31.9 . . . . map units

This number is longer than all but one of the answer choices. Since we know the correct number is more than this we can safely select answer D, d = 34.05, as being the correct choice.

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Detailed working

The first stop is 7 units north and 8 units west of the start, so is distance ...

... d1 = √(7²+8²) = √113

The second stop is 5 units north and 13 units west of the first stop, so that distance is ...

... d2 = √(5²+13²) = √194

The destination is 9 units north and 3 units west of the second stop, so the final leg has distance ...

... d3 = √(9²+3²) = √90

Then the total distance is ...

... d = √113 +√194 +√90 ≈ 10.63 +13.93 +9.49 = 34.05 . . . . matches choice D

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

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