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4) Find the missing value.

4 Find The Missing Value class=

Sagot :

Abcdefdfgfghhidn

Answer:

x = 2.2

Step-by-step explanation:

As per the given drawing, (<E) is a peripheral angle, meaning it is formed by a secant and a tangent line. The peripheral angles theorem states that a peripheral angle is equal to half the measure of intersecting arc. One can apply this here by stating the following,

[tex]\frac{(GD)}{2}=<E[/tex]

Substitute,

[tex]\frac{(6+14x)}{2}=(2x+14)[/tex]

Simplify,

[tex]3+7x=2x+14[/tex]

Inverse operations,

[tex]3+7x=2x+14\\\\5x = 11\\\\x = 2.2[/tex]

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