The following data are arranged in ascending order and the median of the data is 60.Find the value of x.
26, 29, 42, 53, x, x + 2, 70, 75, 82, 93

Answers

Answer 1

Answer: The median of the data is 60. That means the two middle numbers divided by 2 = 60.

(x + x + 2) / 2 = 60...multiply by 2
2x + 2 = 120
2x = 120 - 2
2x = 118
x = 118/2
x = 59

x + 2 = 59 + 2 = 61

so ur numbers go : 26,29,42,53,59,61. 70, 75, 82, 93

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Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

Answers

$k:12x-5y=2\to-5y=-12x+2\ \ \ /:(-5)\to y=(12)/(5)y-(2)/(5)\n\nl:y=mx+b\n\nk\ ||\ l\iff m=(12)/(5)\n\n l:y=(12)/(5)x+b;\ (2;\ 3)\n\n(12)/(5)\cdot2+b=3\n\n(24)/(5)+b=3\n\nb=(15)/(5)-(24)/(5)\n\nb=-(9)/(5)\n\nAnswer:y=(12)/(5)x-(9)/(5)\to(12)/(5)x-y=(9)/(5)\ \ \ \ /\cdot5\to12x-5y=9$

What is the perimeter of polygon XYDB?

5 cm
20 cm
10 cm
15 cm

Answers

Answer:

20 cm

Step-by-step explanation:

each side of each triangle is 5. You can label all of the sides. They'll each be 5.

5 + 5 + 5 + 5 = 20

The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. find the measure of the angle.

Answers

The measure of the angle is 50°.

Supplementary Angle

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

Complementary Angle

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Let's assume that the angle is x.

The supplementary angle of x is (180°-x).

The complementary angle of x is (90°-x).

According to the question,

(180°-x) = 4(90°-x)-30°,

(180°-x) = 4(90°-x)-30°

180 - x = 360 - 4x - 30

4x - x = 360 - 30 -180

3x = 150

x = 50°

Hence, the measure of the angle is 50°.

Learn more about Supplementary and Complementary angles:

brainly.com/question/3027144

What is 6.213 as a mixed number

Answers

6.213 as a mixed number would be 6 and 213/1000.

all you do to convert it to a mixed number is look at how many numbers are after the decimal.

since theres 3 numbers, that means it would be in the thousands place

Simplify (5rs-1t3)(-3r2st).

Answers

(5rs-1t3)(-3r2st)

-30r^2s^2t+18rst^2

A jet travels 3950 miles from Chicago to London and then returns. The total flying time for the roundtrip is 16.5 hours. The return trip takes longer due to the wind. If the jet's average speed with no wind is 485 mi/hr, what is the average speed of the wind during the round trip flight? Round to the nearest mi/hr