To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).
To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
Now, the formula for the perimeter of a pentagon is
P = 5×side length
So...
Perimeter = 5×
The answer is (2)
Answer:
1) Communism: government led by a single party often authoritarian.
2) Democracy: government that allows people to choose their leaders.
3) Socialism: government that owns goods and services. It encourages cooperation rather than competition.
4) Oligarchy: government of a few individuals usually wealthy, of certain race often authoritative rulers.
5) Monarchy: Government of one person that usually inherits it. Often inherited by gender. They can be constitutional with limited power or absolute, with unlimited power.
6) Theocracy: leader of a specific religion.
7) Totalitarianism: Government of one person without limitations of power.
8) Military Dictatorship: countries ruled by one person with absolute power.
Step-by-step explanation:
Answer:
9. m(YZ) = 102°
10. m(JKL) = 192°
11. m<GHF = 75°
Step-by-step explanation:
9. First, find the value of x
4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)
Collect like terms
4x - 3x = -3 + 15
x = 12
4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
4(12) + 3 = ½(m(YZ))
48 + 3 = ½(m(YZ))
51 = ½(m(YZ))
Multiply both sides by 2
51*2 = m(YZ)
102 = m(YZ)
m(YZ) = 102°
10. First, find the value of x.
7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)
Add like terms
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
7(13) + 5 = ½(m(JKL))
96 = ½(m(JKL))
Multiply both sides by 2
2*96 = m(JKL)
m(JKL) = 192°
11. First, find x.
5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Multiply both sides by 2
2(5x + 15) = 11x + 18
10x + 30 = 11x + 18
Collect like terms
10x - 11x = -30 + 18
-x = -12
Divide both sides by -1
x = 12
m<GHF = 5x + 15
Plug in the value of x
m<GHF = 5(12) + 15
m<GHF = 60 + 15
m<GHF = 75°
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