What is the value of x to the nearest tenth? a) 37.0 b) 18.5 c) 40.8 d) 29.5

A) 37.0

Step-by-step explanation

We know that there is a right triangle in the circle. We know the hypotenuse and one other length.

a² + b² = c²

Plug this equation in with the figure,

16.2² + x² = 24.6²

square this equation out

262.44 + x² = 605.16

subtract 262.44 from 605.16

x² = 342.72

Now in order to get rid of x² you have to do the opposite which is √

√x² = √342.72

x = 18.5

BUT this is only half of the chord, so you must multiply by 2.

18.5 × 2 = 37.0

ANSWER: 37.0

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step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.