Step-by-step explanation:
x = number of $50 bills
y = number of $100 bills
x + y = 20
50x + 100y + 500 = 100x + 50y
50y + 500 = 50x
y + 10 = x
now we use that in the first equation :
y + 10 + y = 20
2y = 10
y = 5
x = y + 10 = 5 + 10 = 15
so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet
Answer:
a=√2
Step-by-step explanation:
Given : ΔEGF ≅ ΔHKJ
where ∠G=∠K [right angle]
∠E=∠H=45°
And ∠F=180°-∠E-∠G [By angle sum property]
⇒∠F=180°-45°-90°
⇒∠F=45°=∠J [corresponding parts of two congruent triangles are congruent]
⇒ Both triangles are isosceles right triangles such that
JK=HK=b , EG=GF
and EF=JH
Now JK=HK= EG=GF=3√2
Now GF=3a=3√2
⇒a=√2
Answer:
this is the photo on edmentum :)
Step-by-step explanation:
The answer is the second option, or Ray BE is a bisector of angle ABE.
I believe it is l7l+l-2l+l5l+l-8l, or the bottom right answer choice.
The question is asking how many spaces your traveled in total, not solely those you traveled forwards not backwards. Therefore, you just need to count up all of the spaces you moved regardless of whether they were forward(positive) or backwards(negative).
Thus the only possible answer is l7l+l-2l+l5l+l-8l because it is the only choice that allows you to add up all of the numbers regardless of their positivity/negativity.
Hope this helps! :)
