Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
Answer:
not sure if it's ryt but I think it's A
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
Answer:
Marco's age is 7 years old
Step-by-step explanation:
Let
x ----> Marco's age
y ----> Paolo's age
we know that
---->
----> equation A
----> equation B
substitute equation A in equation B


Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to

in this problem we have

so

substitute in the formula





Remember that the solution cannot be a negative number
so
The solution is x=7
therefore
Marco's age is 7 years old
The volume would be (x+1)x(x+4)x(3x)= (x^2+x+4x+4)x(3x)= (x^2+5x+4)x(3x)= (3x^3)+(15x^2)+(12x)
Hence, the answer is the 4th option.
Hope this helped you, and if it did, please mark it as the brainiest answer. I would really appreciate it!