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
Answer:
slope = -1.5
Step-by-step explanation:
A set of three or more points are said to be collinear if they all lie on the same straight line.
We have been given the following collinear set of points;
P(0, 3), Q(2, 0), R(4, -3)
This implies that P, Q, and R lie on the same line.
The slope of a line is defined as; (change in y)/(change in x)
Using the points P and Q, the slope of the line is calculated as;
(0-3)/(2-0) = -3/2 = -1.5
Answer:
2/3 of n +5>12
Step-by-step explanation: