allureohicks allureohicks
  • 10-12-2021
  • Mathematics
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Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?

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ujalakhan18
ujalakhan18 ujalakhan18
  • 10-12-2021

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

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