Answer:
1.28 or 912/715
Step-by-step explanation:
sine= opposite side/hypotenuse
cos=adjacent/ hypotenuse
sine a= 12/13 using the Pythagorean Theorem and solve for the missing side. (which is the adjacent side)
cos a = 5/13
Do the same for sine b
cos b= 9.8/11
add both the cosine value
(5/13)+(9.8/11)=1.28 or 912/715 in fraction form
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
12.5%
Step-by-step explanation:
4 * 100 / 32 = 12.5
