Lines and Angles
Two angles are supplementary. One angle is 3x, and the other angle is 2x+50. What is the value of x?
26
What is the area of a circle with diameter 12?
113.04
What is the area of a triangle with a base of 20 cm and a height of 8 cm?
80
What is the sum of the measures of the interior angles of a pentagon?
540 degrees
The conditional statement "If it is a cat, then it has four legs", is this when written in inverse form
"If it is not a cat, then if does not have four legs"
Two lines are perpendicular. The angle formed by these lines is 6x. What is value of x?
15
What is the measure of central angle ABC if the intersecting arc is 45 degrees
45 degrees
Parallelogram ABCD is placed on a grid. The coordinates of ABCD are as follows A (1, 2) B (8, 2) C (6, -2) D (-1, -2). What is the midpoint of diagonal AC?
(3.5, 0)
Triangle ABC has the following angle measures: angle A=4x, angle B=2x+30, and angle C=4x+40. What is the measure of angle A?
44 degrees
The converse of a statement is "If you like milk, then you like cookies." What is the original statement?
"If you like cookies, then you like milk."
Two angles are alternate exterior angles, one angle is 5x+30, the other angle is 3x+60. What is the measure of one of the angles.
105
The diameter of a circle is 8 mm. What is the circumference of the circle?
25.12 mm
The slope of line AB=1/2. Line CD is parallel to AB. What is the slope of CD?
1/2
The exterior angle of a regular polygon is 45 degrees.What is the number of sides of that figure?
8
Let P be "it is hot", let q be "we will go swimming." What is the symbolic representation of "If we go swimming, then it is hot."
What is q->p
Two lines intersect to form vertical angles. One angle is 28 degrees. The other angle measures 4x+8. What is the measure of the other pair of vertical angles.
152
What is the measure of an inscribed angle with an intercepted arc of 130 degrees?
65 degrees
The slope of line AB=3/5. EF is perpendicular to AB. What is the slope of line EF?
-5/3
One interior angle of a regular decagon has this many degrees
144
The conditional statement is "If two lines are parallel, then they have congruent slopes." What is the contrapositive?
"If they do not have congruent slopes, then they are not parallel lines."
Line segment AC is bisected by line MN. The two meet at point B. If line segment AB=3x and line segment BC=2x+50, what is the value of x and length AB?
50 and 150.
1/3 of circle O is shaded. The radius of circle O is 3 inches. This is the area of the shaded region
9.42
The midpoint of line RT is point S. Point S lies at (3, 4). Point R lies at (-2, 1). What are the coordinates of point T?
(8, 7)
A heptagon (7 sides) has 6 angle measures given, they are 120, 110, 105, 95, 130, and 170. What is the measure of the seventh angle?
170
Let P represent "it is a bee", let Q represent "it has a stinger." What is the translation for ~p->~q?
If it is not a bee, then it is does not have a stinger.