Geometry and Algebra Problem Set

The video tutorial covers a series of geometry problems, including solving for unknowns in semi-circular tunnels, calculating perimeters of polygons circumscribed around circles, determining angles using arc properties, and finding areas of regular hexagons. It also includes solving equations for unknowns in interior and exterior angles, and calculating specific arc measures.

In a semi-circular tunnel, if the proportion is 6:2 as X:12, what is the value of X?

• 9.5

• 8.5

• 7.5

• 10.5

If QZ is 10 in a circumscribed circle, what is the length of QR?

• 10

• 15

• 5

• 20

What is the perimeter of the polygon if the sides are 10, 9, 9, 13, 13, 3, 3, 14, 14, and 10?

• 88

• 118

• 98

• 108

If angle PSQ is 4x - 10 and angle PRQ is 2x + 20, what is the value of x?

• 10

• 20

• 25

• 15

What is the measure of arc ML if the diameter cuts 180 degrees and the other arc measures 115 degrees?

• 55

• 65

• 75

• 85

How do you calculate the area of a regular hexagon with an apothem of 3?

• 1/3 apothem times perimeter

• apothem squared

• apothem times perimeter

• 1/2 apothem times perimeter

If X plus 36 divided by 2 equals 65, what is the value of X?

• 100

• 98

• 96

• 94

What is the measure of angle DEF if it is 96 degrees and angle ACB is 20 degrees?

• 68

• 58

• 48

• 38

What is the equation of a circle with center at (5, -2) and radius 2?

• (x-5)^2 + (y+2)^2 = 4

• (x+5)^2 + (y-2)^2 = 4

• (x-5)^2 + (y-2)^2 = 4

• (x+5)^2 + (y+2)^2 = 4