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geniusboy [140]

4 years ago

13

What is the length of segment AD? Answer and explain why :)

2 answers:

Zigmanuir [339]4 years ago

8 0

Answer:

$AD=15$

Step-by-step explanation:

From the given figure, it can be seen that GF is parallel to DE, therefore, the two triangles that are AGF and ADE will be similar, thus by using the basic proportionality theorem, we have

$\frac{FA}{AE}=\frac{GA}{AD}$

Substituting the given values, we have

⇒ $\frac{16}{16+4}=\frac{12}{AD}$

⇒ $\frac{16}{20}=\frac{12}{AD}$

⇒ $AD=\frac{12{\times}20}{16}$

⇒ $AD=15$

Thus, the value of the segment AD will be 15 units.

Charra [1.4K]4 years ago

5 0

AD is 16 because FE equals 4 and FE is equivalent to GD. so then add 4 to AG which is 12, and 12+4= 16

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3 years ago

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Olegator [25]

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3 years ago

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3 years ago

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2 years ago

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3241004551 [841]

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Step-by-step explanation:

Use FOIL:

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Make $\frac{-14}{5}y^2$ and $\frac{5}{7}y^2$ have the same numerator:

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Then add like terms and simplify:

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3 years ago

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