Answer:
AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent
In triangle RAS and triangle QAT
[Angle]
[Side] [Given]
By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.
⇒ 
[By base ∠'s of isosceles triangle are equal]
By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.
, 
are supplementary and 
, 
are supplementary.
⇒
and
Two 
supplementary to equal
Since, 
then, we get;
[Angle]
then, by AAS postulates,
By CPCT[Corresponding Part of Congruent Triangles are equal]
Hence Proved!
Answer:
less than cause 4 is before 24
17 inches
15^2 + 8^2 = 289
square root of 289 = 17 inches
Answer:
Step-by-step explanation:
Given are two functions represented one by graph and another by table
We can check the given statement one by one
1) 
Average rate of change = 
For g(x) avg rate of change
=
Hence g has a higher average rate of change than f.
True
2)f is linear and eventually exceeds g (f(0)>g(0) . True
3) True because y intercept is 10 for f while 8 for g
4) True because f(3) <g(3)
5) False both cannot be linear
Answer:
z = 3
Step-by-step explanation:
we use the method
(x^a)^b = x^(a*b)
so
(q^4)^z = q^(4*z)
now
4*z = 12
z = 12 / 4
so
z = 3
