64+(2x)=35(x-1)
expand
64+2x=35x-35
minus 2x from both sides
64=33x-35
add 35 to both sides
99=33x
divide both sides by 33
3=x
the number is 3
The complete question in the attached figure
we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles
m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°
the answer is
m∡1=115°
By definition, we have
So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that
In this case, the absolute value doesn't do anything: the equation is
We are supposing , so we can accept this solution.
Now, suppose that . Now the sign of the expression is flipped by the absolute value, and the equation becomes
Again, the solution is coherent with the assumption, so we can accept this value as well.
Step-by-step explanation:
6:8=9:12=12:16=15:20
Because the ratio of a 45,45,90 triangle is 1:1: square root 2, x=4.
:)