we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.
Answer:
the measure of the exterior angle is 87 degrees.
Answer:
yes because when you multiply 3000 by 10 that gives you a total of 30000 that you paid off
Answer:
x = 5 and y = 3
Step-by-step explanation
y crosses out so you are left with
4x = 20 (divide by 4)
x = 5
plug x into either equation
5 + y = 8 (subtract 5)
y = 3
So, what is the case in which he uses the least coins? can he use 1 coin? no, there isn't a 35 cent coin. can he use 2 coins? yes! he can use 25+10 cent coins!
now, the largest number of coins means the coins of the smallest value: so using only 5 cent coins. How many would this be?
we have to divide:
35/5=7
so we would use 7 coins.
And the difference is 5: 7-2 is 5.