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Karolina [17]
1 year ago
9

Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x

plus 5 units. The third side is equal to 12 units. The height from the third side is given by x plus 6 units. Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex. 12x + 72; 3x + 10 6x + 36; 3x + 10 6x + 36; 10x + 3 12x + 72; 10x + 3
Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
6 0

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

<h3>How to Find the Area and Perimeter of a Triangle?</h3>

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x  - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Learn more about the area and perimeter of a rectangle on:

brainly.com/question/24571594

#SPJ1

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AB=2r

BC=7

AC=AB+BC

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3 years ago
Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced
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Answer:

\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\

W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}

Step-by-step explanation:

\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls},(denoted \:W_1, W_2, \:and\: W_3)

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\

W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}

The tree diagram of this event is also attached.

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