The answer would be log62...
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse
x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x
x^2+36=100 Square each individual term
x^2+=100+36 Subtract 36 from both sides
x^2=64 Combine like terms
sqrt(2)=sqrt(64) Take the square root of both sides
x = 8 Simplify the square root
So our answer is x = 8
The ladder touches the 8 feet mark on the wall.
it is c and dont get it wrong
(2) diagonal are congruent
The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.
It's asking "what number can we add to both sides of this equation so that we isolate x?"
Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)
So we really have this equation: x+20 = 25
We can add -20 to both sides to cancel out the +20 on the left side
x+20 = 25
x+20+(-20) = 25+(-20) ...... add -20 to both sides
x = 5
This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25