Answer:
x = 72 / 85
Step-by-step explanation:
x -6/7=-x/84
x + x/84 = 6/7
84/84x + 1/84x = (12*6) / (12*7)
85/84x = ( 72 ) / ( 84 )
85/84x = 72 / 84
Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:
84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }
{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )
(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)
x = 6048 / 7140
x = 72 / 85
Answer:
Step-by-step explanation:
1). In ΔTPW and ΔGHD,
Triangles will be congruent by the properties of congruence,
1). SSS - (Sides - Side - Side) property of congruence
2). SAS - (Side - Angle - Side) property of congruence
3). ASA - (Angle - Side - Angle) property of congruence
2). ΔABE ≅ ΔMNP
∠A ≅ ∠M
∠B ≅ ∠N
∠E ≅ ∠P
Side AB ≅ Side MN
Side AE ≅ Side MP
Side BE ≅ Side NP
Another way to write the congruency statement → ΔAEB ≅ ΔMPN
3). ΔQRY ≅ ΔJLS
∠Q ≅ ∠J
∠R ≅ ∠L
∠Y ≅ ∠S
Side QR ≅ Side JL
Side RY ≅ Side LS
Side QY ≅ Side JS
Anthe way to write the congruency statement → ΔQYR ≅ ΔJSL
The solution of 2 equations is the point on the grid where they intersect. The 2 equations which intersect at (-1,5) are A and B
Its the first choice.
By the binomial theorem, the
term in the expansion of
is
![\dbinom n21^{n-2}\left(-\dfracx4\right)^2=\dfrac{n!}{2!(n-2)!}\dfrac{x^2}{16}](https://tex.z-dn.net/?f=%5Cdbinom%20n21%5E%7Bn-2%7D%5Cleft%28-%5Cdfracx4%5Cright%29%5E2%3D%5Cdfrac%7Bn%21%7D%7B2%21%28n-2%29%21%7D%5Cdfrac%7Bx%5E2%7D%7B16%7D)
which suggests that the contribution of the binomial coefficient should make up the remaining factor of 21. That is,
![\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2=21\implies n=7](https://tex.z-dn.net/?f=%5Cdfrac%7Bn%21%7D%7B2%21%28n-2%29%21%7D%3D%5Cdfrac%7Bn%28n-1%29%7D2%3D21%5Cimplies%20n%3D7)
Answer:
Volume, ![V=175\ cm^3](https://tex.z-dn.net/?f=V%3D175%5C%20cm%5E3)
Step-by-step explanation:
We have,
Height of each tin is 5 cm
The area of the lid of the tin is 35 square centimeters.
It is required to find the volume of the cat food that the tin contains. Volume of the box is also given by the product of area and height such that,
![V=A\times h\\\\V=35\times 5\\\\V=175\ cm^3](https://tex.z-dn.net/?f=V%3DA%5Ctimes%20h%5C%5C%5C%5CV%3D35%5Ctimes%205%5C%5C%5C%5CV%3D175%5C%20cm%5E3)
So, the volume of the cat food that the tin contains is
.