10. The table shows the number of diagonals for polygons with n sides. Number of
3 4. 5 6. 7. 8
sides, n
Number of
0 2 5 9 14 20
diagonals, d
Find a polynomial function that fits the data.

Determine the total number of diagonals in the decagon shown.

11. Explain why you cannot always use finite differences to find a model for real-life data sets.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

hreryryrranswer:

step-by-step explanation:

need more detail

step-by-step explanation:

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