Answer:
n < -10
Step-by-step explanation:
n+7 < -3
subtract 7 from both sides
n+7-7 < -3-7
n < -10
Given that we assume that all the bases of the triangles are parallel.
We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.
Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula : 
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is
.
We have to determine
Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.
<h3>Trigonometric identity</h3>
Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.
Trig ratios help us calculate side lengths and interior angles of right triangles:
The trigonometric identity that can be used to solve for the height of the blue ladder is;

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is
.
To know more about trigonometric identity click the link given below.
brainly.com/question/1256744
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°