It depends on the shape or figure your trying to find it for.
Area- the area of a flat or plane figure is the number of unit squares that can be contained in it.
Volume- Is the measure of the amount of space in a closed figure.
Answer:
-6
Step-by-step explanation:
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
Question:
Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.
(a) Find the equation of the line passing through B and perpendicular to the line AC
(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.
Answer:


Step-by-step explanation:
Given




Solving (a): Line that passes through B, perpendicular to AC.
First, calculate the slope of AC

Where:
--- 
--- 
The slope is:



The slope of the line that passes through B is calculated as:
--- because it is perpendicular to AC.
So, we have:


The equation of the line is the calculated using:

Where:

--- 

So, we have:

Cross multiply




Make y the subject

Solving (b): Point of intersection between AC and 
First, calculate the equation of AC using:

Where:
--- 

So:



So, we have:
and 
Equate both to solve for x
i.e.


Collect like terms

Multiply through by 5

Collect like terms

Solve for x


Substitute
in 


Take LCM


Hence, the coordinates of D is:
