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lions [1.4K]
3 years ago
7

The polygon circumscribes a circle. What is the perimeter of the polygon?

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

68 cm

Step-by-step explanation:

Using the concept of tangents drawn from external point to a circle are congruent, we can find the Perimeter of polygon.

Perimeter of polygon  \\ = 2 \times 5 + 2 \times 6 + 2 \times 8 + 2 \times 15 \\  = 10 + 12 + 16 + 30 \\  = 68 \: cm \\

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Answer to cheek your knowledge
scZoUnD [109]

Answer:

D - ASA

This should be the answer since FH and IG can be said to be parallel and therefore we can find both alternate angles or a vertical opposite angle with one side given. We know that ΔFHJ is reduced by a factor of 2 to get ΔGIJ.

7 0
2 years ago
Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big en
Simora [160]

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

6 0
3 years ago
Please help me find the area of this shape
oee [108]

Answer:

Step-by-step explanation:

15 x 7 = 105

The gap is either 9 x 7 =63 or 12 x 7 = 84

105 - 84 = 21

105 - 63 = 42

So the shaded area is either is 21 or 42

7 0
2 years ago
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
15-2x=3x<br>how do I find X<br>​
Solnce55 [7]

Answer:

first you add the 2x and the 3x together then when you get your answer when you add them then you dived your answer and the 15 together

Step-by-step explanation:

hope this helps i didn't put the answers cause i didn't think you wanted them cause all you put was how do i find x

6 0
2 years ago
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