This is the concept of geometry, for us to prove the similarity of angles we can use the following postulates:
SAS (side-angle-side)
ASA (Angle side Angle)
SSS (side side side)
AAS (Angle Angle side)
therefore, given that AAA is used to prove similarity, another postulate that can be used to strengthen the postulate is SAS, because we already have the angle sizes, adding more sides will make the prove even stronger since we shall have three corresponding angles plus wo corresponding sides.
Step-by-step explanation:
given,
x1= 1 , x2= 7 , m1= 3
y1= 4 , y2= 1 , m2= 1
x=?
y=?
using section formula
x= (m2.x1 + m1.x2)/m1 + m2
x= find yourself
y= (m2.y1 + m1.y2) / m1 + m2
y= find yourself
Find the equation of the inverse.
we have
step 1
Exchange the variables
x for y and y for x
step 2
Isolate the variable y
apply log both sides
step 3
Let
therefore
the inverse function is
Answer: Question #1 The height of the tree is about 18 feet.
To solve this problem, you have to write a proportion using the similar triangles that are drawn. The height of the tree matches the height of the person and the shadows match.
Therefore, we can write and solve the following equation:
x/15 = 5.5/4.5
82.5 = 4.5x
x = 18.33
Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°
