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Komok [63]
3 years ago
13

Which statement BEST explains why the slope of each line segment formed by the hypotenuse of each triangle is the same?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Two triangles can be similar if their leg lengths are in proportion with each other, regardless of size. Since the triangles are the same in different sizes, they are similar. The hypotenuse of the triangles isn't the same, but the angles are the same, so the hypotenuse will still follow the same line.

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What is the area of an isosceles right triangle if one of its legs is r cm long
prohojiy [21]
Bear in mind that, is an isosceles right-triangle, so, one angle is 90°.

check the picture below.

5 0
3 years ago
The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:
Fed [463]

Answer:

The height of the trapezoid is 6.63 units

The perimeter of the trapezoid is 38 units

Step-by-step explanation:

Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.

A)

We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.

To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10

hence the dimensions of the righ angled triangle are

DE= h

DB = 12 (diagonal)

EB = 10

From Pythagoras' theorem,

h =\sqrt{12^2 -10^2}=6.63

The height of the trapezoid is 6.63

B)

We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.

This will be

AD + DC + CB + AB

However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB

Thus, perimeter =

2 (AD) + DC +AB

2(9) +5 +15 = 38.

The perimeter of the trapezoid is 38 units

3 0
3 years ago
Need help please answer ASAP!
Dmitrij [34]

Answer:

   46. <u>(3) 29</u>

   47. <u>(1) y = -4x + 3</u>

   48. <u>(3) 3</u>

   49. <u>(3) -1/2</u>

   50. <u>(4) 25x - 75</u>

Step-by-step explanation:

<u>Question 46</u>

  • Let red marbles be 2x + 3 and black marbles be x
  • 2x + 3 + x = 42
  • 3x = 39
  • x = 13
  • No. of red = 2(13) + 3 = 29 marbles
  • <u>(3) 29</u>

<u></u>

<u>Question 47</u>

  • Parallel to a line means the slope is the same
  • <u>(1) y = -4x + 3</u>

<u></u>

<u>Question 48</u>

  • For the expression to be undefined, the denominator has to be 0
  • x - 3 = 0
  • x = 3
  • <u>(3) 3</u>

<u></u>

<u>Question 49</u>

  • Slope = -4 - 1 / 4 + 6
  • Slope = -5/10
  • Slope = -1/2
  • <u>(3) -1/2</u>

<u></u>

<u>Question 50</u>

  • Total = 25x
  • Left 3 boxes at home = -3x = -3(25) = -75
  • <u>(4) 25x - 75</u>
6 0
2 years ago
ASAP WHO EVER ANSWERS THIS WILL RECIEVE BRANLIEST
Masteriza [31]
The answer is 50
The ratio of boys to girls is 10:25 in the school
If sample has 20 boys (10x2) then based on ratio it would likely have 50 girls (25x2)
5 0
3 years ago
Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient?
USPshnik [31]

Answer:

54 will keep repeating in the quotient.

Step-by-step explanation:

Quotient is defined as the answer we get after dividing a number by another number. For instance 10 / 2 = 5. Here 10 is dividend, 2 is the divisor and 5 is the quotient.

In this case 6 divide by 11 will give 0.54545454545....

54 keep repeating in the quotient.

3 0
3 years ago
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