It would be ASA(angle side angle)
if 2 angles and an included side are congruent, then the two triangles are congruent.
Answer:
left 1 unit, up 5 units
Step-by-step explanation:
First factor
g(x)=x^2+2x+6 = (x+1)^2+5
The standard transformation formula is
g(x) = a*f(bx-h) + k
which means
a=1, b=1,h=-1, k=5
or
h=-1 means translate left one unit
k=5 means translate up 5 units.
Choose the first option: left 1 unit, up 5 units
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST =
PQ substitute values
- 32 + 9x =
(- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4