Answer:
Angle A =35
Step-by-step explanation:
ok that is a triangle
look exterior plus interior is 180
corresponding angles
x+74
now lets solve for the angle a
triangle = 180 degrees
180=73+x+74+37+x
combine like terms
x=−2
now plug in for angle a
37+(-2)
=35
The answer is 60 surprisingly
A) The area of the rectangle ABCD is base times height. 20in x 12in = 240 in sq.
B) The area of the triangle AED is base times height divided by two. (14in x 12in)/2 = 84in sq.
C) Figure EBCD is a right trapezoid (having one pair of parallel sides, while the others are slanted and forming a right angle).
D) Area of EBCD is the area of the rectangle minus the area of the triangle. 240in sq - 84in sq = 156in sq.
Answer:
Step-by-step explanation:
In a right angled triangle, we have perpendicular, hypotenuse and base.
The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.
Applying formulas we can find the values:
the formulas are : cos (Ф) = Base / hypotenuse
sin (Ф) = Perpendicular / hypotenuse
tan (Ф) = Perpendicular / Base
11. cos z
cos z = Base / hypotenuse
cos z = 12/15
12. cos C
cos C = base / hypotenuse
cos C = 38/45
13. tan C
tan C = Perpendicular/ Base
tan C = 40/30
14. tan A
tan A = Perpendicular/ Base
tan A = 21/20
15. tan C
tan C = Perpendicular/ Base
tan C = 12/35
16. tan X
tan X = Perpendicular/ Base
tan X = 30/40
17. sin Z
Sin Z = Perpendicular / Hypotenuse
sin Z = 35/37
18. sin z = Perpendicular / Hypotenuse
sin z = 30/50
Expand by multiplying out:
14-15t + 36 = 1 -20t -1,
Because of the minus before the bracket, it changes the sign inside the bracket
-15t + 20t = 1-1-14-36 Rearranging the ts on one side and the numbers on other
side.
5t = -50 Divide both sides by 5.
t = -50/5
t = -10.