Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
Anywhere from 7 - 13 hours
M = -6.5, because -6.5 times itself -5 times, it will be equivalent to 1/32.
I hope I helped! :-)
Answer:
181 mi^2
Step-by-step explanation:
Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;
Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.
Dimensions of circle: r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.
Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2
