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Zanzabum
3 years ago
7

24)

Mathematics
2 answers:
sukhopar [10]3 years ago
3 0

Answer:

B

Step-by-step explanation:

because I am right

Alenkasestr [34]3 years ago
3 0

Answer:

24) A

25) picture is missing

26) C

27) B

28) C

29) D

30) D

31) D

32) A

Step-by-step explanation:

24) You have to put one end of the compass on point P and the other end on point Q, so that, you have the measure of the segment.

25) The figure is missing, so I will answer the question in general terms.

  • translation 10 units to right and then 10 units up transforms point (x, y) into (x +10, y+10)
  • translation 5 units to left and then reflected across the x-axis transforms point (x, y) into (x-5, -y)
  • translation 10 units to right and then reflected across the x-axis transforms point (x, y) into (x+10, -y)
  • translation 10 units to right and then reflected across the y-axis transforms point (x, y) into (-x-10, y)

26)  yes; Reflections and translations are rigid motions. Rigid motions preserve the size of the original image.

27) The ratio length/width must be the same

original case: 36/9 = 4

A) 30/6 = 5

B) 44/11 = 4

C) 64/8 = 8

D) 72/12 = 6

28) The angle '?' must be equal to the acute angle of the original figure

29) As shown in the picture, three sides are equal

30) The following proportion must be satisfied:

12/6 = 13/y = 5/x = 2, which is the scale factor

31)  Since B is on the perpendicular bisector of AC and ∠ADB is a right angle, BD is the perpendicular bisector of AC. All of these is shown in the picture

32) ∠V ≅ ∠W. This is a property of isosceles triangles

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The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.
solmaris [256]

The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

The length of a rectangle is 5 more than the width. The area is 126 square feet.

We need to find the length and width of the rectangle.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is calculated by multiplying the rectangle's length by its width.

Let the width of the rectangle be x, then the length of the rectangle be x+5.

We know that the area of the rectangle = Length×Width

Now, the area of the rectangle = (x+5)×x=126 square feet.

⇒x^{2}+5x-126=0

⇒x^{2}+14x-9x-126=0

⇒x(x+14)-9(x+14)=0

⇒x=-14, x=9.

Since length cannot be a negative integer.

So, Width=9 feet and Length=9+5=14 feet.

Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

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