Answer:
three consecutive odd integers are.

Step-by-step explanation:
Let x be the first term of odd integer,
Therefore, the second consecutive odd integers = 
Similarly, the third consecutive odd integers = 
Given:
The sum of the first term and second term is 344.
first term + second term = 344
Here first term is x and second term is
.





Therefore, the first odd integers is 171.
And the second consecutive odd integers = 
Similarly, the third consecutive odd integers = 
Answer:
Depth of the rain gutter is 8 inches
Step-by-step explanation:
Let’s assume ‘x’ is the depth of the rain gutter
Then the width of the rain gutter can be written as 16 - 2x
Cross sectional area
A = depth x width
Substitute values
A = x*(16 - 2x)
A = 16x – 2x^2
Now according to axis of symmetry for maximum area x = -b/2a
x = -16/2*(-2)
x = 4 inches depth of rain gutter, substitute the value of x to get
Width of rain gutter 16 – 2(4) = 8 inches
Area of the rain gutter for maximum water flow
A = 4 * 8
A = 32 square inch.
Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4
Answer:
Step-by-step explanation:
Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900
Since there are 7 interior angles, the answer to how large each one of them is is found by
900/7 = 129.57 which is slightly off because it is a rounded error.
In general, the size of the angles in a regular polygon
180(n - 2 ) / n
Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get
180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.
Answer:
x=9
Step-by-step explanation: