Answer:
x = 54.6 m
Step-by-step explanation:
Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is
=
, substitute values
= 
=
( cross- multiply )
80.5x = 4395.3 ( divide both sides by 80.5 )
x = 54.6
Answer:

Step-by-step explanation:
Given:
Given point P(6, 6)
The equation of the line.

We need to find the equation of the line perpendicular to the given line that contains P
Solution:
The equation of the line.

Now, we compare the given equation by standard form 
So, slope of the line
, and
y-intercept 
We know that the slope of the perpendicular line 



So, the slope of the perpendicular line
From the above statement, line passes through the point P(6, 6).
Using slope intercept formula to know y-intercept.

Substitute point
and 




So, the y-intercept of the perpendicular line 
Using point slope formula.

Substitute
and
in above equation.

Therefore: the equation of the perpendicular line 
Answer:
B i think
Step-by-step explanation:
sorry I'm not explaining I'm doing a challange
Answer:
A
Step-by-step explanation:
● first one:
The diagonals of a rhombus are perpendicular to each others wich means that they form four right angles.
STP is one of them so this statement is true.
● second one:
If ST and PT were equal this would be a square not a rhombus.
● third one:
If SPQ was a right angle, this woukd be a square.
● fourth one:
Again if the diagonals SQ and PR were equal, this would be a square.
X = shorter piece
y = longer piece = 5x
shorter piece + longer piece = 60
x + 5x = 60
6x = 60
x = 60/6
x = 10 in. <== shorter piece
y = 5x
y = 5(10)
y = 50 in. <== longer piece