Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = 
= 
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= 
= 
= 
= 
Length of GH = Distance between G(0, -1) and H(-1, 0)
= 
= 
Scale factor = 
= 7
Answer:4
Step-by-step explanation:
B) -7x-2x= -20-16
-9x= -36
X= -36 /-9
X= 4
Answer:
Future Value= $5,886.13
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,425
Number of periods (n)= 1 year
Interest rate (i)= 8.5% = 0.085
<u>To calculate the future value after one year, we need to use the following formula:</u>
<u></u>
FV= PV*(1+i)^n
FV= 5,425*(1.085^1)
FV= $5,886.13
Answer (C) 50 degrees
Steps: please check the attached image for details
Answer:
4 t - 7 = 2 t+ 13 is the required equation.
The number of race medals Tara has is t = 20 medals.
Step-by-step explanation:
Let the number of medals Tara has = t medals
So, the number of medal Anita has = 4( Medals of Tara) - 7
= 4t - 7
And the number of medals Gary has = 2 times (Medals of Tara) + 13
= 2(t) + 13 = 2t + 13
Now, Annita and Gary has same number of medals.
⇒ 4t - 7 = 2t+ 13
or, 4t - 2t = 7 + 13
⇒ 2t = 20
⇒ t = 20/2 = 10
or t = 10
Hence, the number of race medals Tara has is t = 20 medals
