Two parallel lines are intersect by the same line, and the angles shown lie on the same orientation about the intersection so the angles are equal to each other...which means:
9x+21=10x+10 subtract 21 from both sides
9x=10x-11 subtract 10x from both sides
-x=-11 divide both sides by -1
x=11
Answer: x=6
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
A full triangle is 180 degrees. 100 + 30 + 50 = 180.
I hope you get it right! :D
(i hope i get brainlist)
Answer:
the angle of elevation is 12.56°
Step-by-step explanation:
the height of the ramp represents the opposite side and the length of the ramp the hypotenuse
we see that it has (angle, hypotenuse, opposite)
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we choose the one with opposite and hypotenuse
sin α = o/h
sin α = 5ft / 23ft
sin α = 5/23
α = sin^-1 ( 5/23)
α = 12.56°
the angle of elevation is 12.56°
Answer: The surface area of the planter will be 120.5 square feet.
In our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.
The base will be 7 x 5 = 35 square feet.
The front and back side will each be 7 x 0.75 = 5.25 square feet.
The left and right side will each be 5 x 0.75 = 3.75 square feet.
If we add up the 5 faces we get:
35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet
