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labwork [276]
3 years ago
11

What is the value of x to the nearest tenth? 12.0 7.2 4.8 9.2

Mathematics
2 answers:
Eva8 [605]3 years ago
6 0

Answer:

x=7.2

Step-by-step explanation:

In the given circle, line x with end points are the midpoint of both top and bottom lines

Hypotenuse of triangle is 24/2= 12

Base of the triangle is 19.2/2= 9.6

Now we find out side x using pythagoren theorem

c^2 = a^2 + b^2, where c is the hypotenuse

12^2 = 9.6^2 + x^2

144= 92.16+x^2

Subtract 92.16 from both sides

51.84= x^2

take square root on both sides

x= 7.2

RUDIKE [14]3 years ago
4 0
Line x is the mid point of both lines
 so the triangle becomes base = 19.2/2 = 9.6
hypotenuse = 24/2 = 12

using Pythagorean theorem:

x^2 = 12^2 - 9.6^
x^2 = 144 - 92.16
x^2 = 51.84

x = sqrt(51.84) = 7.2
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Reason 1: Given

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Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

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