Geometry Answers

1. A line with an angle of inclination of 45° passes through (-5/2 , -9/2). If the ordinate of the point is 6, what is its abscissa?
2. Find the angle from the line through (13/2, 0) and (2, -7) to the vertical line 5 units from the y-axis.
3. The angle from line 1 to line 2 is arctan (2/3) and the slope of line 1 is -1. Find the slope of line 2.
4. The inclination of line 1 is arctan (1/2). If line 2 makes an angle of 45° with line 1, find the slope of line 2.
5. The vertices of a triangle are (7, 4), (1, 7) and (-3, -4) Find the interior angle at the vertex (-3, -4).

An electric refrigerator is built in a form of rectangular parallelepiped. The inside dimensions are 3 ft. by 2.6 ft. by 1.8 ft. A freezing unit (1.1 ft. by 0.8 ft. by 0.7 ft.) subtracts from the storage room of the box. Find the capacity of the refrigerator.

Running from the top flagpole to a hook in the ground there is a rope that is 10 meters long. If the hook is 8 meters from the base of the flagpole, how tall is the flagpole?

Jeremy cut a rhombus out of a 10-inch rectangle. The diagonals of the rhombus are parallel and perpendicular to the sides of the rectangle and are congruent to the length and width of the rectangle, respectively. What is the total area of the four shaded triangles?

The 10 by 10 square shows an office floor plan composed of four congruent 8-sided cubicles. What is the area of one of these irregular 8-sided cubicles?

Find the equation of line which bisects the join of (2,-5) and (6,3) and bisects the join of (-1.1) and (-5,7)

The radius of a quarter circle is 3 meters. What is the quarter circle's perimeter?

Use 3.14 for ​𝜋.

The width of rectangle is 25% shorter than the length. If the perimeter is 21. Find the are of the rectangle

The symbol.___________________ means"is similar to"and the symbol_________id the abbreviation for the word angle

A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 1 cm more than its width, find the area of the rectangle.