Hey there! :D
When there are two lines (parallel) that are cut by a transversal, corresponding angles form. These are angles that are in the same position on the same side. m<2 is corresponding to the angle that equals 38 degrees. They are congruent and have the same measure.
m<2= 38 degrees
Remember, this only works because the problem said that line L and M are parallel.
I hope this helps!
~kaikers
To write 3000 as a fraction you have to write 3000 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3000 = 3000/1 = 30000/10
And finally we have:
3000 as a fraction equals 30000/10
Step 1: Simplify both sides of the equation.
3(x−5)−5=23
(3)(x)+(3)(−5)+−5=23(Distribute)
3x+−15+−5=23
(3x)+(−15+−5)=23(Combine Like Terms)
3x+−20=23
3x−20=23
Step 2: Add 20 to both sides.
3x−20+20=23+20
3x=43
Step 3: Divide both sides by 3.
3x
/3 = 43
/3
x=
43
/3
1/2(4y+7)
Use the distributive property. a(b+c)= ab+ac
1/2*4y= 2y
1/2*7= 3.5
2y+3.5 <---- simplified expression
I hope this helps!
~kaikers
