Answer:
the required postulate which should be used here to make the triangles congruent is
C. ASA , okay
Step-by-step explanation:
because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA
I hope it helped
Answer:
All of the above
Step-by-step explanation:
Also, this is a history, not a maths problem
We have been given an expression 
. We are asked to find the value of A when rewrite our given expression as 
.
To solve our given problem, we will use exponent properties.
Using exponent property 
, we can rewrite our given expression as:
Now, we will compare our expression with .
Upon comparing 
with , we can see that 
.
Therefore, the value of A is 
.
We can further simplify as:
Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
The square root of 34 is 5.83095
