Step-by-step explanation:
(3x+6)= 48(Alternate angles)
3x=48-6
3x=42
x=14
2y+48=5y-9 (Sum of two opposite interior angles= exterior angle)
48+9=5y-2y
57=3y
y=19
Answer:
- to find the volume will apply this formula
(pie)3.141592654 × radius square × height.
- so 3.141592654 × 324 × 12
- ans 12214.51224 or 3888pie
- the picture is wrong
Answer:
Step-by-step explanation:
Right triangle trig. Super fun! We are given the vertex angle of 27 degrees. The side across from that angle is 4, and we are looking for the hypotenuse of the triangle. That is the trig ratio sin. sin of an angle is equal to the side opposite over the hypotenuse:
and, solving for hyp:
. Do that on your calculator in degree mode to get that the hypotenuse, side BD is 8.8 units.
Answer:
y= -8/11 x=-63/11
Step-by-step explanation:
Rewrite equation
Step: Solve6x+y=−10for y
Step: Substitute−6x−10 for y in 4x−3y=14
Step: Substitute −8
/11 for x in y=−6x−10
y= −62
/11 --- (Simplify both sides of the equation)
___________________________________________
y= -8/11
x=-63/11
Answer:
(x + 3, y - 2)
Step-by-step explanation:
we know that
The rule of the transformation T is equal to
T: pre-image → image
T: (x, y) → (x',y')
T: (x, y) → (x - 3, y + 2)
so
x'=x-3 ----> x=x'+3
y'=y+2 ----> y=y'-2
The rule of the inverse of transformation T -1 is equal to
T-1: image → pre-image
T-1: (x', y') → (x,y)
T-1: (x', y') → (x'+3, y'-2)