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vivado [14]
3 years ago
5

PLEASE HELP!!! solve for X

Mathematics
1 answer:
pochemuha3 years ago
8 0
The sum of the interior angles of a polygon can be found using this formula : sum = 180(n - 2)....where n is the number of sides ur polygon has. Ur polygon has 5 sides....so the sum of ur angles are : 180(5 - 2) = 180 * 3 = 540. So ur angles have to add up to 540.

90 + 107 + 144 + 138 + x = 540
479 + x = 540
x = 540 - 479
x = 61 <===
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Answer:

<u>Question 1</u>

F

T

T

The volume of figure A can be found by multiplying (5 · 7)(2).

<u>Question 2</u>

T

T

F

The total volume of the figure is 442 mm³

<u>Question 3</u>

T

F

T

The volume of the triangular prism is 108 in³

Step-by-step explanation:

<u>Formula used</u>

Volume of a prism = base area × height

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Volume of a cube = s³  (where s is the side length)

---------------------------------------------------------------------------------------------------

<h3><u>Question 1</u></h3>

⇒ Volume of Figure A = (5 · 7)(2)

                                     = 70 cm³

⇒ Volume of Figure B = (13 · 7)(2)

                                     = 182 cm³

⇒ Total Volume = Volume of Figure A + Volume of Figure B

                           = 70 + 182

                           = 252 cm³

The first statement is false.

<u>Rewritten statement</u>:

The volume of figure A can be found by multiplying (5 · 7)(2).

---------------------------------------------------------------------------------------------------

<h3><u>Question 2</u></h3>

⇒ Volume of rectangular prism = (15 · 15)(2)

                                                    = 450 mm³

⇒ Volume of central cube = 2³

                                            = (2 · 2 · 2)

                                            = 8 mm³

⇒ Total Volume = Volume of rectangular prism - Volume of cube

                           = 450 - 8

                           = 442 mm³

The third statement is false.

<u>Rewritten statement</u>:

The total volume of the figure is 442 mm³

---------------------------------------------------------------------------------------------------

<h3><u>Question 3</u></h3>

⇒ Volume of rectangular prism = (12 · 3)(8)

                                                    = 288 in³

⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)

                                                 = 108 in³

⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism

                           = 288 + 108

                           = 396 in³

The second statement is false.

<u>Rewritten statement</u>:

The volume of the triangular prism is 108 in³

7 0
2 years ago
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