Answer:
<em>The measure of a single interior angle is 169.4°</em>
Step-by-step explanation:
<u>Angles in Regular Polygons</u>
The sum of the interior angles, in degrees, of a regular polygon, is given by the formula 180(n – 2), where n is the number of sides.
For a regular 34-gon, n=34, and the sum of the interior angles is:
180(34 – 2)=5,760°
The measure of any of the interior angles is

The measure of a single interior angle is 169.4°
Answer: The area common to both triangle is 31.77 sq. cm.
Step-by-step explanation:
Since we have given that
30-60-90 triangles are placed.
So, the ratio of sides would be

Since Hypotenuse = 12 cm
So, it becomes,

So, Base would be

and Perpendicular would be

So, Area common to the both triangles would be

Hence, the area common to both triangle is 31.77 sq. cm.
Answer:
Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)
Step-by-step explanation:
Sarah's calculation
Let
x = cost of 12 Bone-shaped treats
Quantity of Bone-shaped treats : price
5 : 3.5 = 12 : x
(5/3.5) = (12/x)
Cross product
3.5x=60 (Here is her error)
x=17.14
Correct calculation
Quantity of Bone-shaped treats : price
5 : 3.5 = 12 : x
5 / 3.5 = 12 / x
Cross product
5 * x = 3.5 * 12
5x = 42
x = 42 / 5
= 8.4
x = $8.4
Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)
Instead of multiplying Quantity of Bone-shaped treats by cost
Answer:
8/3x + 6 (first option)
Step-by-step explanation:
Well youc an use the destructive property, multiply 2/3 with each number in this expression
2/3* 4x= 8/3x
and
2/3 *9 is 6
Now just plug it in as usual
8/3x+6
2x^3 - 2x - 4
3x + 1 6x^4 + 2x^3 - 6x^2 - 14x - 1
6x^4 + 2x^3
-6x^2 - 14x - 1
-6x^2 - 2x
-12x - 1
-12x - 4
3
3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.