Answer:
The answer is "MS and QS".
Step-by-step explanation:
Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.
As NR and MQ bisect each other at S
⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e MS=SQ
In ΔMNS and ΔQNS
MN=QN (∵ MNQ is isosceles triangle)
∠NMS=∠NQS (∵ MNQ is isosceles triangle)
MS=SQ (Given)
By SAS rule, ΔMNS ≅ ΔQNS.
Hence, segments MS and SQ are therefore congruent by the definition of bisector.
The correct option is MS and QS
Answer:
as shown in the attached file
Step-by-step explanation:
The detailed steps and application of differential equation, the use of integrating factor to generate the solution and to solve for the initial value problem is as shown in the attached file.
Answer:
Table A
Step-by-step explanation:
In order for it to be a linear relationship, the change in the x values and y values (f(x)) needs to be consistent.
In every table, the x values change the same, so we can focus on the y values.
Notice in table A, the f(x) values go down consistently by 10 for every change in x.
All of the other tables are not consistent.
Therefore, table A is the only linear function.
Answer:
<h2>B. 49,062.5 ft²</h2>
Step-by-step explanation:
The formula of an area of a circle:

r - radius
We have the diameter d = 250 ft. We know: d = 2r.
Therefore r = 250 : 2 = 125 ft.
Substitute:


Answer: The correct option is (a), i.e., cos B= sin A.
Explanation:
It is given that the ∠B = ∠C and ∠D is a right angle.
Since two corresponding angles of both triangles are same, so by angel sum property three angles are also equal. Therefore by AAA rule both triangles are similar.
It is given that,


Using angle sum property angle C is written as,



By using quadrant concepts.

Therefore option A is correct.