Answer:
The reasons are given below.
Step-by-step explanation:
In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC
In ΔAXC and ΔBXC,
AX=BX (Given)
∠3 = ∠4 = 90° (both right angles)
CX=CX (Common i.e reflexive property of equality)
Hence by SAS similarity theorem ΔAXC ≅ ΔBXC
hence, the above are the reasons of the statements in given proof.
Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k = 
= 
= 
y = x ← equation of proportionality
When x = 40 then
y = × 40 = 48
Just pick a number
i’ll pick 2
and solve the equations
1. 6(2+12)
12+72
84
2. 6(2)+12
12+12
24
3.3(2(2)+4)
3(4+4)
3(8)
24
your answer is D
expressions 2 and 3 are equivalent
