What is the value of x?

Enter your answer in the box.

x =
cm

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sabel1234 sabel1234

Today at 7:19 AM
Mathematics

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What is the value of x?

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x =
cm

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PSDHE PSDHE · Answer 1 · 2025-03-21T07:24:32-04:00

PSDHE PSDHE

Today at 7:24 AM

As we see, two triangles are congruent triangles
So 36/42 = 6/x
<=> 6/42 = 1/x
<=> 6x = 42
<=> x = 7cm

Answer Link

SerenaBochenek SerenaBochenek · Answer 2 · 2025-03-21T07:23:49-04:00

Answer:

The value of x is 7 cm

Step-by-step explanation:

Given the figure, ∠BAO=∠CDO

we have to find the value of x

AO=6 cm

OC=42 cm

OD=36 cm

In ΔBAO and ΔCDO

∠BAO=∠CDO (Given)

∠AOB=∠COD (Vertically opposite angles)

By AA similarity theorem, ΔBAO ≈ ΔCDO

∴ corresponding sides are in proportion i.e

[tex]\frac{BO}{OC}=\frac{AO}{OD}[/tex]

[tex]\frac{x}{42}=\frac{6}{36}[/tex]

[tex]x=7 cm[/tex]

The value of x is 7 cm

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

Answer :

Other Questions

What is the value of x?

Enter your answer in the box.

x =
cm