Answer:
Step-by-step explanation:
we have ΔLMN as our parent triangle, where M=90°. Another triangle ΔPQR is formed which was dilation of ΔLMN with a factor of one and half that is 1.5
We are also given that the center of dilation is M itself . Hence the point Q of the ΔPQR overlap with the M.
Now let us see the image attached with this. The Line LM and MN are extended further till Point P and R respectively.
If LN = x and MN = y
PM = 1.5x and MR = 1.5y
as the scale of dilation is 1.5
Now let us see the the ratio of the sides of the two triangles.
Hence the ratio of the sides is same. There for the triangles are similar to each other.
1/2x+9=2x/2-1. I hope this meets ur criteria. It works and equals 20.
Answer:
1. congreunt; reflection
2. not congruent
3. congruent; rotation & translation
4. 64 cm
5. 62 degrees
Step-by-step explanation:
Answer:
956.80 total week
Step-by-step explanation:
18.40 * 40= $736.00 reg time
18.40*1.5= $27.60 hr for overtime
27.60*8 hrs of ot= $220.80
220.80+736.00= $956.80 total
This is the concept of quadratic equations, solving the equation 2x^2-12x+20=0 using the formula we get:
x=[-b+/-sqrt(b^2-4ac)]/(2a)
from our equation, a=2,b=-12 and c=20
x=[-(-12+/-sqrt((-12)^2-4*2*20)]/(2*2)
x=[12+/-sqrt(144-160]/4
x=[12+/-sqrt(-16)]/4
x=[12+/-4i]/4
x=[3+\-i]
the answer is A] 3+/-i
