Question

What is the value of x? Enter your answer in the box.

Answer 1

Hi,

10/x=15/42
15x=42×10
x=42×10/15
x=42×2/3
x=14×2
x=28

Answer 2

Answer:

$Value \: of \: x = 28$

Step-by-step explanation:

Given:

In ∆RPA , DC//PA

$\frac{RC}{CA}=\frac{RD}{DP}$

/* By Basic Proportionality Theorem:

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio. */

$\implies \frac{x}{10}=\frac{42}{15}$

$\implies x = \frac{10\times 42}{15}\\=28$

Therefore,

$Value \: of \: x = 28$

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