In triangle MNL and triangle NPL,we have,
MN=PN(given)
LM=LP(given)
LN=LN(common side)
=>triangle MNL is congruent to triangle PLN. (SSS criterion rule)
Hope This helps u...!!!!
4)
x=16Vertical angles have equal angles when two lines intersect, which they do in this case.
3x-3=2x+13
Solve for x:
x=16
5)
34 degreesLines AK and MJ bisect each other perpendicually, so <ADJ is 90 degrees.
4x+3x-8=90
7x-8=90
7x=98
x=14
<CDJ=3x-8
=3(14)-8
=34 degrees
Hope this helps :)
There are two methods to do this:
1. 2(x + 1) = 38
2*x + 2*1 = 38 (Expand the bracket)
2x + 2 = 38
2x = 36 (Subtract 2 from both sides)
x = 18 (Divide each side by 2)
2. 2(x + 1) = 38
(x + 1) = 19 (Divide each side by 2)
x = 18 (Subtract 1 from each side)
1 gallon = 4 quarts so 3 gallons = 12 quarts
so 30 quarts is larger.
Hope I helped!
