Answer:
x = 30
Step-by-step explanation:
in order to solve for the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 )
we will first of all open the brackets and then evaluate for the value of x by combining the like terms.
from 6 ( x − 2 ) = 8 ( x − 9 )
6x -12 = 8x -72
combine the like terms
6x - 12 + 72 = 8x
-12 + 72 = 8x -6x
60 = 2x
divide both sides by the coefficient of x which is 2
60/2 = 2x/2
30 = x
x = 30
therefore the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 ) is equals to 30
A) The probability that there are no boys in the car is given by:
Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.
Answer:
B. (1,2)
Step-by-step explanation:
Look at the image down below!! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Answer: $45,050
Step-by-step explanation:
First we multipy 0.06 (6%) by 42,500
$42,500 * 0.06 = $2550
This is the tax that must be applied to $42,500
Now all we need to do is add $2,550to $42,500 and we get:
$42,500 + $2,550 = $45,050
