Find the value of x.
Answer:
25°
Step-by-step explanation:
The angle shown in a right angle, which is 90°. Let's start with 3x-10. We want to get rid of the 10 so we add 10 as positive and negative cancel each other out. So when we add 10 to 90 we have 100. Now we have x+3x=100. Simplify that to 4x=100. Divide both sides by 4 to isolate the x and the answer is 25. To double check,
• 25×3=75
•75-10=65
•65+25=90
The whole angle is equal to 90 degrees therefore you can make an equation using the two angle values and set it equal to 90 like so...
x + 3x - 10 = 90
Combine like terms ( x and 3x)
(x + 3x) - 10 = 90
4x - 10 = 90
Bring the 10 to the other side by adding it to both sides
4x + (-10 + 10) = 90 + 10
4x + 0 = 100
4x = 100
To further isolate x divide 4 to both sides
4x/4 = 100/4
x = 25
Hope this helped!
~Just a girl in love with Shawn Mendes