Answer:
x= 22.5°
Step-by-step explanation:
∠DEA= ∠BAE (alt. ∠s, DE// AB)
Substitute ∠DEA= 2x:
∠BAE= 2x
∠AEB +∠BEF= 180° (adj. ∠s on a str. line)
Substitute ∠BEF= 4x:
∠AEB +4x= 180°
∠AEB= 180° -4x
∠ABE +∠CBE= 180° (adj. ∠s on a str. line)
Substitute ∠CBE= 6x:
∠ABE +6x= 180°
∠ABE= 180° -6x
∠BAE +∠AEB +∠ABE= 180° (∠ sum of triangle)
2x +180° -4x +180° -6x= 180°
-8x +360°= 180°
8x= 360° -180°
8x= 180°
x= 180° ÷8
x= 22.5°
We suggest, that the number 32 is 100% - because it is the output value of the task.
<span>We suggest, that x is the value that we are looking for. </span>
<span>3. If 32 is 100%, so we can jot it down as 32=100%. </span>
<span>4. We know for sure, that x is 15% of the output value, so we can jot it down as x=15%. </span>
5. Now, these are the equations are we have.
1) 32=100%
2) x=15%
where the left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
32/x=100%/15%
6. Now we just have to work out the equation, and we'll get the answer that we want.
7. Answer for what is 15% of 32
32/x=100/15
<span>(32/x)*x=(100/15)*x - </span>multiply both sides of the equation by x
<span>32=6.66666666667*x - </span>divide both sides of the equation by (6.66666666667) to get x
<span>32/6.66666666667=x </span>
<span>4.8=x </span>
x=4.8
<span>15% of 32=4.8
So, the answer is $4.8
Hope this helped</span>
Answer:
find the area if the sector,then the area of the triangle.After that, Subtract the area of the triangle from the area of the sector
