Answer:
Like terms:
1.25x²
-8x²
Step-by-step explanation:
Like terms are terms that have the same variable to the same exponent. In this case, the only like terms are those with the variable 'x' to the exponent of '2', or x². This would include the terms:
1.25x²
-8x²
The term 5yx², also includes x², however, it also includes the variable 'y' which makes it 'unlike' the other terms.
Answer:
The length of segment DC 33 units.
Step-by-step explanation:
Given:
The length of segment BC is 23 units.
To find:
Length of segment DC=?
Solution:
AB = 2x + 7
From the figure ,AB = BC
2x + 7 = 23
2x = 23 - 7
2x = 16
x = 8
In the Δ ABD and ΔCBD
(1) AB = BC(As given in the figure.)
(2) ∠DBA = ∠DBC = 90°
(3) BD = BD(Common side of both the triangle.)
Thus by using SAS congurence property .
Δ ABD ≅ ΔCBD
Thus AD = DC(Corresponding sides of the congurent triangle.)
Thus AD = 4x + 1
Substituting x = 8
AD =
AD = 32 + 1
AD = 33 unit
Thus AD = DC = 33 unit
