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qaws [65]
3 years ago
13

The perimeter of 3x+8 and 4x-1 and 5x+2

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
It depends what the shape is
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This should be easy for you <br> Please help me
Alik [6]

Explanation:

a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.

__

b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.

__

c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.

_____

For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.

7 0
3 years ago
Four oranges cost a total of 90 cents. At this rate, what is the cost of 3 dozen oranges? Step by step will put brilliants
allsm [11]
Four oranges cost 90 cents, an orange costs 90/4 cents, which is around 22.5 cents. Multiply this by 36 to get the cost of 3 dozen oranges, so 22.5 times 36 is 810, 810 cents, or 8.10 dollars.
8 0
4 years ago
Read 2 more answers
Each month, Anna pays $630 in rent. How much rent does she pay over the course of 18 months?
Ilia_Sergeevich [38]

Answer:

$11,340

Step-by-step explanation:

1 month: 630

18 months: 18×630=11,340

7 0
4 years ago
What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and
Arlecino [84]

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

(y-k)^2=4p(x-h) and h and k are the coordinates of the vertex. Filling in:

(y+4)^2=4(4)(x+2) which simplifies to

(y+4)^2=16(x+2) choice C

8 0
3 years ago
At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w
Tcecarenko [31]

Answer:

  • 3.08 miles

Step-by-step explanation:

  • Total distance = 10 miles
  • Total time = 2 hours
  • Distance walked = x
  • Speed walked = 2 mph
  • Distance cycled = 10 - x
  • Speed cycled = 15 mph

<u>Using the given data we can have the equation below to the time:</u>

  • x/2 + (10 - x)/15 = 2
  • 30x/2 + 30(10 - x)/15 = 30(2)
  • 15x + 20 - 2x = 60
  • 13x = 60 - 20
  • 13x = 40
  • x = 40/13
  • x = 3.08 miles <em>rounded to 2 decimal places</em>
7 0
3 years ago
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