Answer:
x = 47
Step-by-step explanation:
3x - 2 + 41 = 180 {Supplementary}
3x + 39 = 180
3x = 180 - 39
3x = 141
x = 141/3
x = 47
Answer:
Hope the below answer is easy to understand
Step-by-step explanation:
1) Given the four angles of a quadrilateral are in the ratio 1:2:3:4
Then Let the angles are x,2x,3x and 4x
We know that total of four angles of a quadrilateral =360 °
∴x+2x+3x+4x=360 °
⇒10x=360 °
⇒x=36 °
hence the measures of angles are 36 ° ,72 ° ,108 ° ,144 °
2) Measure of interior angle of a polygon= 180°.
Sides of the polygon = 7 sides
Therefore,
Interior angle of the polygon having 7 sides = 180/7 = 25 5⁄7°
Answer:
3 to 7
Step-by-step explanation:
Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
