Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
Answer:
Step-by-step explanation:
Answer:
Length = 30m and Breadth = 10m
Step-by-step explanation:
Given that :
Perimeter = 80 m ;
Breadth = 1/3 of Length ; Length = l
We know that :
Perimeter of rectangle = 2 ( L + B ).
80 = 2 ( L + 1/3 L )
80/2 = 4/3 L.
40 = 4/3 L
3/4 × 40 = L.
3 × 10 = L.
L = 30m.
Breadth = 1/3 of Length.
Breadth = 1/3 × 30.
Breadth = 10m.
Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.
Answer:
the second one
Step-by-step explanation:
cant be negative cuz if its negative the first line doesnt apply.
