3x+x+20 = 180
4x = 180-20
4x = 160
x = 40
×+20+3x+2x+38+C=360
40+20+3×40+2×40+38+C=360
40+20+120+80+38+C=360
298+C=360
C=360-298
C =62°
Really, we don't need to use that much math--we can use logic instead. Since the two congruent sides must be longer than 30in, the total has to be greater than 60in (the longest side plus the congruent sides.) So for our answer, we want the smallest total that is above sixty, which in this case is 72.44in.
Hope I helped, and let me know if you have any questions :) I can explain the real math if you want, it was just unnecessary here.
Multiply every number from the small octagon by 7 then add the products to get 238.
Answer:
Step-by-step explanation:
-1/4x>8
x>8/(-1/4)
x>(8/1)(-4/1)
x>-32/1
x>-32
x<-32
The answer is D.
--------------------------
-3t+7>=9
-3t>=9-7
-3t>=2
t>=2/-3
t>=-2/3
t<=-2/3
The answer is A.
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
