Answer:
<em>160°</em>
<em />
Step-by-step explanation:
We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).
<em>that would mean that Angle KAW is </em><em>half </em><em>of measure of Arc KW.</em> Thus we can write:
m∠A = 0.5 (arc KE + arc EW)
x+45 =0.5 (x+20+3x)
x+45 = 0.5(4x+20)
x+45 = 2x + 10
45 - 10 = 2x - x
Thus, x = 35
<em>Since Arc KW = Arc KE + Arc EW and x = 35, we can say:</em>
<em>Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°</em>
Answer:
x = 8
Step-by-step explanation:
Solve for x:
-8 = (-3 x)/4 - 2
Put each term in (-3 x)/4 - 2 over the common denominator 4: (-3 x)/4 - 2 = (-8)/4 - (3 x)/4:
-8 = (-8)/4 - (3 x)/4
(-8)/4 - (3 x)/4 = (-3 x - 8)/4:
-8 = (-3 x - 8)/4
-8 = (-3 x - 8)/4 is equivalent to (-3 x - 8)/4 = -8:
(-3 x - 8)/4 = -8
Multiply both sides of (-3 x - 8)/4 = -8 by 4:
(4 (-3 x - 8))/4 = -8×4
(4 (-3 x - 8))/4 = 4/4×(-3 x - 8) = -3 x - 8:
-3 x - 8 = -8×4
4 (-8) = -32:
-3 x - 8 = -32
Add 8 to both sides:
(8 - 8) - 3 x = 8 - 32
8 - 8 = 0:
-3 x = 8 - 32
8 - 32 = -24:
-3 x = -24
Divide both sides of -3 x = -24 by -3:
(-3 x)/(-3) = (-24)/(-3)
(-3)/(-3) = 1:
x = (-24)/(-3)
The gcd of -24 and -3 is -3, so (-24)/(-3) = (-3×8)/(-3×1) = (-3)/(-3)×8 = 8:
Answer: x = 8
Answer:
inequality form -2<x<5
interval notation (-2,5)
sure of my answer
−Step-by-step explanation:
The answer is C because the statement would be if A is true then B is true. Hope this helps