Find the measure of <8 if <1=56°. With parallel lines and a regular transversal.
<8=56°
100
In triangle XYZ, angle X=72 degrees, angle Y=74 degrees. What is the measure of angle Z?
angle Z= 34 degrees
100
What is a polygon with six sides called?
Hexagon
100
If one leg a=4 and the hypotenuse c=11, find the value of the missing leg.
10.2
100
Give the distance formula and describe what each element means.
d=sqrt((x2-x1)^2+(y2-y1)^2)
200
Give the definition for alternate exterior angles.
Alternate exterior angles are exterior angles that lie on opposite sides of the transversal. When the lines are parallel, their measure are equal.
200
Find the measure of the exterior angle if the two remote exterior angles are <1=76° and <2=34°.
<x=110°
200
What does is mean to be a regular polygon?
A regular polygon is a polygon that is equilateral and equiangular.
200
If the legs of a right triangle are a=4.4 and b=6.7, what is the length of the hypotenuse?
8
200
Find the distance between A and B. Round to the nearest tenth if necessary.
A=(1,5) B=(3,1)
4.5
300
True or false:
Vertical angles are supplementary.
False, vertical angles have the same measure.
300
The measures of the angles of triangle RST are in the ratio of 2:5:11. What are the measures of the angles?
300
Find the sum of the measures of the interior angles of an 11-gon.
1620°
300
Can the numbers 8, 15, and 17 be sides of a right triangle?
Yes
300
Graph each ordered pair, then find the distance between them.
C= (6,2) D=(1,0)
5.4
400
<1= 32° and <2= 58°.
Are angles 1 and 2 supplementary, complementary, or neither.
complementary
400
Let x represent the measure of angle A. angle A=x, angle B=4x, angle C=5x
Find the value of x and the measure of each angle.
x=18
angle A=18
angle B=72
angle C=90
400
Find the measure of one interior angle in a 14-gon.
154.3°
400
How deep is the water? (see picture)
13.7 ft
400
A ferry sets sail from an island located at (6,2) on a map. It's destination is Ferry Landing B at (4,12). How far will the ferry travel is each unit on the grid is 0.5 miles?
5.1 miles
500
Find the measure of each of the angles given <1=32°. With regular parallel lines cut by a transversal.
Find the measure of an exterior angle of a nonagon.
40°
500
Find the slant of a cone if the height is 12 ft and the radius is 9 ft.
15
500
Denver has a longitude of 105°W and latitude 40°N. Pueblo has longitude 104°W and latitude 38°N. If each degree is about 51 miles, find the distance between Denver and Pueblo.