Answer:
Step-by-step explanation:
hello :
f(x) = 2x +1 and g(x) = x².
(gºf)(a)= g(f(a)) = g(2a+1) = (2a+1)² = 4a²+4a+1
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
Answer:
Step-by-step explanation:
I will use substitution
We will substitute the answer for y into the bottom equation
x+(4x+3)=-2
5x+3=-2
5x=-5
x=-1
Now solve for y
(-1)+y=-2
y=-1
Write as an ordered pair
(-1.-1)
Answer:
11
Step-by-step explanation:
The missing statement in the proof is ∠1 ≅ ∠4.
Solution:
(1) Given ∠1 ≅ ∠2
(2) ∠1 and ∠4 are vertical angles.
<u>Vertical angle theorem:
</u>
If two angles are vertically opposite then they are congruent.
By vertical angle theorem,
⇒ ∠1 ≅ ∠4
(3) <u>Transitive property of congruence:</u>
If A = B and B = C, then A = C.
From (1) and (2), ∠2 ≅ ∠4.
(4) If two lines and a transversal form congruent corresponding angles, then the lines are parallel.
Therefore line a || line b.
⇒ a || b.
Hence the missing statement in the proof is ∠1 ≅ ∠4.
