Since both of the angles are supplementary, you'd set the expressions up into an equation equal to 180(degrees).
So, your equation should look like:
22x + 4 + 35x + 5 = 180.
Next, you combine your like terms so that your next move will look like:
57x + 9 = 180.
Then you'd follow the subtraction and division property, so your next moves will look as the following:
57x + 9 - 9 = 180 - 9 equals 171
57x / 57 = 171 / 57 equals 3
So, finally, your answer is: x = 3.
Answer:
= (∛(100x))/5
Step-by-step explanation:
Given the expression; ∛(4x/5)
To simplify this we need to make denominator a perfect cube.
So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.
∛(4x/5) = ∛((4x/5)×(25/25))
= ∛(100x/125)
= ∛(100x/5³)
<u>= (∛100x)/5</u>
Answer:
121.5
Step-by-step explanation:
Find the mean of the last 4 numbers.
Let x be the number of pennies which is also equal to the number of dimes. By this representation, the number of quarters is equal 46 - 2x. The total amount is $4.87 or 487 cents. The equation that best represent the given is,
x + 10x + 25(46 - 2x) = 487
The value of x from the equation is 17. Therefore, there are 17 of both pennies and dimes and 12 quarters.
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:
The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle
So,
Probability = 78.5/314 = 0.25
Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region.