The result is always divisible by 3.
Since the whole thing is 24x+8, it is divided in 2 parts so both of those must be equal to the whole one. You get:
14x-2+70=24x+8
10x=60
x=6
Answer:
The given expression
on multiplying is ![12x^6y^3z^3](https://tex.z-dn.net/?f=12x%5E6y%5E3z%5E3)
Step-by-step explanation:
Consider the given two expressions
and ![6xy^2z^3](https://tex.z-dn.net/?f=6xy%5E2z%5E3)
We have multiply both expressions,
![2x^4yx \times 6xy^2z^3](https://tex.z-dn.net/?f=2x%5E4yx%20%5Ctimes%206xy%5E2z%5E3)
To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,
![x^a\cdot x^b=x^{a+b}](https://tex.z-dn.net/?f=x%5Ea%5Ccdot%20x%5Eb%3Dx%5E%7Ba%2Bb%7D)
Then power of x together will be,
![x^4\cdot x\cdot x=x^{4+1+1}=x^6](https://tex.z-dn.net/?f=x%5E4%5Ccdot%20x%5Ccdot%20x%3Dx%5E%7B4%2B1%2B1%7D%3Dx%5E6)
Similarly for y powers,
![y \cdot y^2=y^{1+2}=y^3](https://tex.z-dn.net/?f=y%20%5Ccdot%20y%5E2%3Dy%5E%7B1%2B2%7D%3Dy%5E3)
Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
is ![12x^6y^3z^3](https://tex.z-dn.net/?f=12x%5E6y%5E3z%5E3)
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80