Book Maths Puzzle Algebra

Solve following

6z^2-12z+30

3x^2+21x+27

16x^4-1

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Book Other Question

Start with a square. Double its base, then shrink its height by 3inch. The new rectangle's area is 40 square inches loarger than the area of the original square. How long are the sides of the square? How many interior angles does a undecagon have?
A. 7
B. 9
C. 11
D. 110

How many diagonals can be drawn from each vertex of a decagon?

A. 7
B. 8
C. 9
D. 10

How many distinct diagonals does a hexagon have?
A. 6
B. 9
C. 12
D. 18

Calculate the sum of the interior angles of a convex hexagon.
A. 120
B. 720
C. 900
D. 1080

Calculate the sum of the interior angles of a convex 40-gon.
A. 171
B. 360
C. 6840
D. 7200

If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260
A. hexagon
B. heptagon
C. nonagon
D. no such polygon exists

In the convex quadrilateral ABCD, if A D, mB = 110, and mC = 60, find mA.
A. 95
B. 170
C. 190
D. 360

Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle.
A. 105
B. 106
C. 109
D. 110

Use the following figure to answer question 12.

Which list of angles represents one set of exterior angles of LMN?
A. 1, 2, and 3
B. 2, 5, and 8
C. 3, 6, and 9
D. 1, 3, 4, 6, 7, and 9

Question 12

If five of the exterior angles of a convex hexagon measure 55, 60, 63, 70, and 81, find the measure of the sixth exterior angle.
A. 31
B. 60
C. 120
D. 391

If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.
A. 19
B. 21
C. 32
D. 37

How many sides would a regular polygon have if each interior angle measures 162?
A. 10
B. 12
C. 18
D. 20

How many angles would a regular polygon have if each exterior angle measures 5?
A. 36
B. 37
C. 72
D. 74

It is possible for the exterior angles of a regular polygon to measure 30.

A. true
B. false

It is possible for the interior angles of a regular polygon to measure 145.

A. true
B. false

Calculate the measure for each exterior angle of a regular nonagon.

A. 20
B. 40
C. 140
D. 1260

Calculate the measure for each interior angle of a regular 15-gon.
A. 12
B. 24
C. 156
D. 2340