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3 years ago

Solve for x can someone please answer please help

Mathematics

2 answers:

BabaBlast [244]3 years ago

5 0

Answer:

Step-by-step explanation:

ΔABC & ΔADE are similar triangles

$\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{10+x}{10}=\frac{10}{6}\\\\$

Cross multiply,

6*(10+x) = 10*10

6*10 + 6*x = 100

60 + 6x = 100

6x = 100 - 60

6x = 40

x = 40/6

x = 6.67

lord [1]3 years ago

3 0

Answer:

In triangle ABC and triangle ADE

angle A = angle A (common)

anhle ABC = angle ADE

By AA , triangle ABC similar to triangle ADE

Thus

AB/AD = BC/DE

10/(10+x) = 6/10

60 + 6x = 100

6x = 40

x = 6.67

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3 years ago

(15) ? Is this correct or am I missing something, thanks :)

svetoff [14.1K]

You are correct!

Step 1:Write what you know
Madeline's Height: 6 ftMadeline's Shadow: 108 in
Friend's Height: X (we use X as a variable because his height is unknown)Friend's Shadow: 108 in - 1.5 ft 108 in - 18 in 90 in
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6 x----- = -----108 90
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