Question

Which answer would be correct? is it 7.23 or something else? * ANSWER ASAP !!! *

Answer 1

Answer is on the picture below

Answer 2

Answer: Choice B) 8.57

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Explanation:

The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.

The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well.

Therefore: AB/DE = AC/DF

Let's plug in the given values and isolate x

AB/DE = AC/DF

11/7 = (15+x)/15 ...... substitution

11*15 = 7*(15+x) ....... cross multiply

11*15 = 7*15+7*x ...... distribute

165 = 105+7x

165-105 = 105+7x-105 ..... subtract 105 from both sides

60 = 7x

7x = 60

7x/7 = 60/7 ............ divide both sides by 7

x = 8.57142857142858

x = 8.57 ..... rounding to the nearest hundredth