Answer:
Solution given:
AB=3units
<B=45°
<C=63°
DF=3units
<E=63°
<F=45°
for congruence opposite corresponding angle or side should be equal
so
∆ABCis congruent to ∆DFE by A.A.S axiom
Similarly
its another name also be
∆BAC=~ ∆FDE
you got it.third one.
Answer:
Value of y = 7
Step-by-step explanation:
By the midpoint theorem of the triangles,
"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."
Therefore, from the figure attached,
In ΔFGH,
J and K are the mid points of the two sides GH and FH.
By theorem, segment JK║GF and m(JK) = 

(5y + 3) = 2(2y + 5)
5y + 3 = 4y + 10
5y - 4y = 10 - 3
y = 7
1/9 + 1/2 = 1/x
Let x = length of time it will take both hoses to work together
Multiply both sides by 18x.
2x + 9x = 18
10x = 18
x = 18/10
x = 9/5
x = 1.8 hours
In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.
Ok so here's a trick king Henry doesn't usually drink chocolate milk or king Henry dabs under dogs calling mom and here's what it will look like the pic and then u have to convert them so 8 liters converting into blank dL so u put a x over the letter L and u don't see that. u see the big U well that means gram liter and meter so u put a x over top of that and now u want to go to the d so now u go just to the d NOT da and ur gonna scoop when ur done scooping them u put a dot where u ended on top of that letter now u get ur first number or what one u started with so I did 8L so I get 8 and since there is no decimal u put it at the end and now I'll scoop and since ur getting smaller u move the decimal to the left (cause left is less) and u get .8 and that's how u do that if u need help with the other ones just let me know and I'll help u
Step-by-step explanation:
sinx=20/36
x=sin-¹20/36
x=34