Answer:
63 cm
Step-by-step explanation:
piece 1: x
piece 2: x - 18
First you would subtract 2x - 18 = 108
Second you would add 108 + 18 = 2x
Third you would divide 126 divided by 2x = 63
So that would mean x = 63
Answer:
9/2 if n goes to infinity and that the 2n^3 is under the whole expression
Step-by-step explanation:
Let me clear this .
find limit (9n^3 + 5*n - 2)/ (2n^3)
as n --> infinity
Did I put the parentheses in the right spot?
because if you leave it the way you did, then the whole expression goes to positive infinity as n goes to infinity But I will do this with parentheses
so
find limit (9n^3 + 5*n - 2)/ (2n^3)
simplify expression
limit (9/2) + 5/(2n^2) - 1/(n^3)
= (9/2) + 0 - 0
= (9/2)
Answer: C) 163
Step-by-Step Solution:
In the Right Triangle formed to the extreme right, lets mark the angles as
∠1, ∠2 and ∠3.
Therefore, from the Figure :-
∠1 = 73°
∠2 = 90°
By Angle Sum Property :-
∠3 = 180 - (73 + 90)
∠3 = 180 - 163
=> ∠3 = 17°
The Angle which forms a Linear Pair with ∠3 is the Corresponding Angle of ∠r, and Corresponding Angles are Equal.
Therefore,
=> 180 - ∠3
= 180 - 17
=> 163°
Therefore, the Angle that forms the Linear Pair with ∠3 is 163°
This Angle is Corresponding to ∠r and hence they are Equal ie. ∠r = 163°
Hence, ∠r = 163°
Answer:
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
We are given coordinates of the line passed through (–5, –1) and (10, –7) .
Applying slope formula,
Therefore,
Therefore, slope is .
Applying point-slope form 
we get
On multiplying both sides by 5, we get
5y+35=-2(x-10)
5y+35=-2x+20
Adding 2x on both sides, we get
5y+25+2x=-2x+20+2x
2x+5y+35=20
Subtracting 35 from both sides, we get
2x+5y+35-35=20-35
2x+5y=-15.
Therefore, required equation is :
<h3>2x + 5y = –15.</h3>
Fine increase = 78 - 65 = 13
Increase rate = 13/65 x 100% = 20%
Discounted amount = 560 - 476 = 84
Discount rate = 84 / 560 x 100% = 15%
