Based on the angles addition theorem, the measure of the original angle = 44°.
<h3>What is the Angles Addition Theorem?</h3>
The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.
Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:
The measure of the original angle = (3+30)° + (5+6)°
The measure of the original angle = 33° + 11°
The measure of the original angle = 44°
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The distance formula between two points is d∧2=(x2-x1)∧2 + (y2-y1)∧2
The distance between Vista and Oceanside is
d1∧2=(-1-(-6))∧2+(6-2)∧2=(-1+6)∧2+4∧2=5∧2+16=25+16=41 => d=√41= 6.4
The distance between Oceanside and Alpena is
d2∧2=(0-(-1))∧2+(-1-6)∧2=1+(-7)∧2=1+49=50 => d2=√50=7.07
The distance between Vista and Alpena is
d3∧2=(0-(-6))∧2+(-1-2)∧2=36+9=45 => d3=√45= 6.7
Answer a) is Oceanside and Alpena
Answer b) is Vista and Oceanside
Good luck!!!
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
The variable x always equals 1
3*2 = 6 ;
4^2 = 16;
/-2/ = +2;
16*2 = 32 ;
5 + 6 - 32 = 11 - 32 = -21;
The right answer is D) -21 ;
