< 1 + < 2 = 180...straight lines = 180
< 3 + < 4 = 180...straight lines = 180
< 2 + < 3 + < 6 = 180....interior angles of a triangle = 180
so if < 1 and < 2 = 180, then < 2 = 180 - 105 = 75
and if < 3 and < 4 = 180, then < 3 = 180 - 115 = 65
now...< 2 + < 3 + < 6 = 180
75 + 65 + < 6 = 180
140 + < 6 = 180
< 6 = 180 - 140
< 6 = 40 <===
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :
4.1 Pull out like factors :
-3x3 - 8x2 - 4x + 7 =
-1 • (3x3 + 8x2 + 4x - 7)
Checking for a perfect cube :
4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: 3x3 + 8x2 + 4x - 7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 3x3 - 7
Group 2: 8x2 + 4x
Pull out from each group separately :
Group 1: (3x3 - 7) • (1)
Group 2: (2x + 1) • (4x)
Please 5 star and like. Appreciated
C)90 because if it go all the way around it would be 180 and I don't see that
Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6
Answer:
-3a-12
Step-by-step explanation:
3(-2a-4)+3a
-6a-12+3a
-6a+3a-12
-3a-12
