Coordinate Geometry
Find the slope of a line through (1,2) and (3,6).
slope of 2
What are vertical angles
the angles that lie opposite to each other when two lines intersect
540 degrees
area of circle with radius 4
16pi or 50.3
A pole 10 ft tall casts a 15 ft shadow. How tall is a tree with 24 ft shadow?
16 feet tall
Midpoint of (5,3) and (-1,7)
(2,5)
Find x if alternate interior angles are 3x and 60.
x is 20
each interior angle of a regular hexagon
120 degrees
Volume of cone with r=3, h=6
56.5 units cubed
Angle of elevation to 50 ft building is 30°. Find distance from observer.
The observer is approximately 86.6 feet away from the building.
Distance from (3,8) to (-4,-3)
square root of 170
A linear pair has angles 2x and 5x-10. Solve.
x = 27.14
properties of a parallelogram
1. both pairs of opposite sides are parallel
2. both pairs of opposite sides are congruent
3. opposite angles are congruent
4. consecutive angles are supplementary
5. the diagonals bisect each other
Surface area of cube, side=5 ft
750 ft squared
A triangle has interior angles measuring: 2x, x+10, 70∘ Find the value of x.
x= 100/3 or 33.3
Equation of a circle with center (0,2), radius 3
9 = (x)^2+(y-2)^2
Define corresponding angles and give an example
a pair of angles formed when a line intersects two other lines
the diagonal of a square is 8 cm, what is the perimeter of the square
22.6 cm
Find the area of a circle if its circumference is 18pi
81pi
A flooring bundle covers 12 ft² and the room is trapezoidal in shape with B1=14 ft, B2=12.6 ft, and a width of 20 ft. How many bundles are needed to cover the whole floor?
23 bundles
Find the equation of a line perpendicular to the line that passes through
points P(1.5,−2) and Q(−2.5,4), and that also passes through point R(3,−1)
y=3/2x−3
Given the points: A(2,5), B(6,9), C(−1,3), and D(3,7) Are the lines AB and CD parallel?
yes!
Find the equation of a line perpendicular to the line that passes through
points P(1.5,−2) and Q(−2.5,4), and that also passes through point R(3,−1) y=3/2x−3
y=3/2x−3
equation of a circle given endpoints of a diameter: A(2,4) and B(6,8)
(x−4)^2+(y−6)^2=8
A triangular plot of land has two sides measuring 75 meters and 50 meters. The angle between these two sides is 60. Find the length of the third side of the triangle.
66.14 meters