I was stuck on the same thing in my class test. I ended up failing but if I get the answers to it I’ll totally send them to you!!!
Hello from MrBillDoesMath!
Answer:
x = 31
Discussion:
angle A + angle C + angle B = 180 (180 degrees in a triangle)
angle A + 57 + 61 = 180 => (substitution)
angle A + 118 = 180 =>
angle A = 180 -118 = 62
By the congruence statement, angle A = angle D = 2x so
62 = 2x =>
x = 31
Thank you,
MrB
Answer:
7 1/2 acres = 15 / 2 acres and a third of this is 5/2 or 2.5 acres for grazing animals.7 1/2 acres = 15 / 2 acres and a fifth of this is 3/2 or 1.5 acres for growing vegetables.
Step-by-step explanation:
Answer:
30 ml of 45% salt solution and 20 ml of 30% salt solution.
Step-by-step explanation:
Let x be the amount of 45% salt solution and y be the amount of 30% salt solution
the two equation will be:
x+y=60 -- A
0.45x+0.3y=0.4(60) -- B
Solve by substitution
Rewrite Equation A
x+y=60
x=60-y --- C
Substitute C into B
0.45(60-y)+0.3y=24
27-0.45y+0.3y=24
-0.15y=-3
y=20
<u>Substitute</u> the y=20 into equation C
x=60-20
x=30
Therefore, there was 30 ml of 45% salt solution and 20 ml of 30% salt solution.
The equation for the parallel line containing C is: y=-3x+14.
Graph with answer and work is on this link: https://www.geogebra.org/classic/fyh68dj4
If you need a graphing calculator, GeoGebra is great!
Hope this helps :)
