Answer:x=20/y
Step-by-step explanation:
x α 1/y
removing the constant of proportionality sign α and replace it with =k
x = k/y
x=10 y=2
10 = k/2
Cross multiply
10x2=k
20=k
k=20
Substitute k=20 in x=k/y
x=20/y.........required equation
We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.
To find the equation, we first need to change the unit as you did correctly:
1 feet = 12 inches
In this case,let's turn the unit of depth to feet:
4÷12
= 1/3 feet
Then we can find the volume in inches:
1/3×162×6
=54×6
=324 ft^3
Therefore the answer is B.324 ft^3 .
Hope it helps!
First show the statement holds for
. The left hand side is just 8, and the right hand side is
, so it's true.
Assume the statement holds for
, i.e.
and use this to show it holds for
, i.e.
By the assumption above, you have
so the statement is true for all
.
