Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
Are you working with simple interest?
Answer:
a. 1/3
Step-by-step explanation:
y=x/3-5 (rewrite x - term)
y = (1/3) x + 5
recall that in the slope-intercept form of a linear equation y = mx + b
m is the slope.
In our case, we can clearly see that slope m = (1/3)
I believe the numbers are 22, 13, and 44.
Answer:
The width of the sandbox is 
.
Step-by-step explanation:
Given,
Area of the sandbox = 
Length = 
Solution,
Let the width of the sandbox be 'w'.
Since the sandbox is in shape of rectangle.
So we use the formula of area of rectangle.
On substituting the given values, we get;
By cross multiplication method, we get;
Hence The width of the sandbox is .
