Answer:
im not 100% but i think its
T= 2t-4+(t-4)+7
Well, anything that's rotated (turned), reflected (flipped), or translated (moved) is still the same shape of the same size, so the new figures would be congruent with the originals. Dilation, however, is when the shape stays the same but the size changes, so when a figure is dilated, it's not congruent, just similar. 2 out of the 4 are dilated, so those ones would be the answer.
A) 0.2076
B) 0.6786
C) 0.3214
Explanation:A)
B) We find the probability that X=6, 7, or 8:
C) P(X≤5) = 1-P(X>5) = 1-0.6786 = 0.3214
Answer:
EB=20, BC=8, AC=16
Step-by-step explanation:
The symbols indicate that:
AB=BC and AE=ED
EB and CD are parallels
AB=BC=8
AC= AB+BC
AC= 8+8
AC=16
To find EB we can use the Cosine Law
For the upper triangle x=∡EAB:
EB^2 = AB^2 + AE^2 -2*AB*AE*Cosx
AB*AE*Cosx= -(EB^2-AB^2 - AE^2)/2 (Part I)
For de big triangle:
DC^2= AC^2+AD^2 -2AC*AD*Cosx
Also:
AC=2*AB
AD=2*AE
DC^2= (2*AB)^2 + (2*AE)^2 -2(2*AB)(2*AE)*Cosx
DC^2= 4*AB^2 +4*AE^2- 8*AB*AE*Cosx
AB*AE*Cosx =-(DC^2-4*AB^2 -4*AE^2)/8 (Part II)
Part I= Part II
-(EB^2-AB^2 - AE^2)/2= -(DC^2-4*AB^2 -4*AE^2)/8
Extracting EB:
EB^2=DC^2/4
EB=DC/2
EB=40/2
EB=20
Answer:
Step-by-step explanation:
