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Vitek1552 [10]
3 years ago
9

The perimeter of △ABC equals 26 in and the midpoints of the sides are M, N and K. Find the perimeter of △MNK.

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

13 in.

Step-by-step explanation:

Theorem:

The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

Each side of triangle MNK has as endpoints two midpoints of sides of triangle ABC, so each side of triangle MNK is half the length of a side of triangle ABC.

p = 26 in./2 = 13 in.

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Afina-wow [57]

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3

Simply replace X with 4

5 0
3 years ago
Given a triangle ABC at A = ( - 1, 3 ) B = ( 1, - 1 ) C = ( 2, 2 ) and if the triangle is rotated 90 ° clockwise about the point
lidiya [134]

Answer:

The coordinates of A' are (6,6).

Step-by-step explanation:

It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).

If a point is rotated 90 ° clockwise about the point ( a,b ), then

(x,y)\rightarrow ((y-b)+a,-(x-a)+b)

It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.

(x,y)\rightarrow ((y-1)+4,-(x-4)+1)

(x,y)\rightarrow (y+3,-x+5)

The coordinates of A are (-1,3), So, the coordinates of A' are

A(-1,3)\rightarrow A'(3+3,-(-1)+5)

A(-1,3)\rightarrow A'(6,6)

Therefore the coordinates of A' are (6,6).

7 0
3 years ago
Marge purchased bicycle helmets and tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 it
algol [13]

Answer:

11

Step-by-step explanation:

Let the no. of helmet be x

cost of 1 helmet = $12.00

cost of x helmet = $12.00*x = $12x

Let the no. of tire pumps be y

cost of 1 tire pumps = $8.00

cost of x tire pumps = $8.00*y = $8y

Given that total no. of helmet and pump is 18

thus

x + y = 18

y = 18-x

also given

total money spent is $188

thus

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using y = 18 - x

we have

12x + 8(18-x) = 188

=> 12x+ 144 - 8x = 188

=> 4x = 188-144 = 44

=> x = 44/4 = 11

Thus, no of helmet bought by Margo is 11.

7 0
2 years ago
What the solution 2(4+2x)≥5x+5
olga nikolaevna [1]

Answer:

x ≤ 3

Step-by-step explanation:

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4(2) + 2x(2) ≥ 5x + 5

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4x ≥ 5x + 5  - 8

4x ≥ 5x - 3    (subtract 5x from both sides)

4x -5x ≥ - 3

-x  ≥ - 3  (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)

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4 0
2 years ago
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Nady [450]

Answer:

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C. You can represent a percent as a decimal or a fraction

Hope this helped!

8 0
3 years ago
Read 2 more answers
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