Answer:
alternate exterior angles and lines are parallel so
10x is congruent to 11x-8
second question
alternate interior angles and lines are paralles so angles are congruent
Answer:
4 and 5
Step-by-step explanation:
xy = 20
x = 2y - 3
(2y-3)y = 20
2y^2 - 3y = 20
2y^2 - 3y - 20 = 0
Solve the quadratic equation
you get y = 4, -5/2
Use 5 since it is one of the options
xy = 20, y = 4
x = 5
Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan (
) we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
Answer:
The arc length is 
Step-by-step explanation:
Given that,
The given curve between the specified points is

The points from
to 
We need to calculate the value of 
Using given equation

On differentiating w.r.to y




We need to calculate the arc length
Using formula of arc length

Put the value into the formula








Put the limits


Hence, The arc length is 
Your question is not clear, but it looks as though you want to know how Brie can make a similar sandbox with base = 8ft.
Answer:
For Brie to make a similar sandbox, he must use a base = 8ft, and height = (8/3)ft
Step-by-step explanation:
It is possible for Brie to make a similar triangular sandbox with base = 12ft and height = 4ft.
All he must ensure is that the ratio of base to height of the original sandbox is the same ratio of base to height of the one he is trying to make.
The original sandbox is 12:4
Because he wants to use a base = 8ft, the sandbox he is trying to make is 8:x
Where x is the height of the sandbox he is trying to make.
Then for these sandboxes to be similar, the ratio 12:4 = 8:x
=> 12/4 = 8/x
12x = 8 × 4
12x = 32
x = 8/3
The height must be (8/3)ft