Question 2 (10 points) Pages 603 & 604-Match the events in order from first to last.
Column A
Column B
a. 3rd
1.
Conference in Yalta
2.
Roosevelt dies
b. 8th
UN countries meet
C. Last
3.
4.
5.
Truman chosen as Vice President
d. 4th
Truman becomes President
e. 6th
6.
UN Charter signed
f. 7th
7.
Meeting in Potsdam
g. 5th
8.
Truman dies
h. 2nd
9.
Stalin dies
i. 9th
10.
WW2 ends
j. 1st

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240