Answer:
height is 3 and width is 5
Step-by-step explanation:
The sum of a polygon's interior angles =
(Number of Sides -2) • 180 degrees
(6-2) * 180 =
4 * 180
= 720 degrees
All the angles should sum to 720 degrees
112 + 120 + 133 + 128 + 100 + x = 720
x = 720 -593
x = 127 degrees
Source:
http://www.1728.org/polygon.htm
Consider two <u>right triangles</u>:
1. ΔABC with <u>vertices</u> A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (<u>vertical leg</u>), AC=6 units (<u>horizontal leg</u>).
2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).
The equation of the line BC is
Check whether points Y and Z lie on this line:
Y(6,0): - true;
Z(36,-10): - true.
Answer: the hypotenuses of these two triangles could lie along the same line
Answer:
36
Step-by-step explanation:
By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.
Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.
If the first three months are free, then it means 12-3=9 (you only pay for 9 months).
That means we must multiply 59 by 9 months, not 12.
59*9=$531.
The answer is $531.