Answer:
1) x= 15
2) x= 34
3) x= 40
Step-by-step explanation:
1) 4x°= 45° +15° (vert. opp angles)
4x°= 60° <em>(</em><em>simplify</em><em>)</em>
x°= 60° ÷4 <em>(</em><em>÷</em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x°= 15°
Thus, x= 15.
2) (x+12)° +100° +x°= 180° (adj. angles on a str. line)
2x° +12°= 180° -100°
2x°= 80° -12°
2x°= 68°
x°= 68° ÷2
x°= 34°
x= 34
3) 3x°= 120° (vert. opp. angles)
x°= 120° ÷3
x°= 40°
x= 40
<u>Abbreviations</u><u>:</u>
1. vert. opp. angles
- vertically opposite angles
- This means that when 2 straight lines intersect, the angles facing opposite each other are equal.
2. adj. angles on a str. line
- adjacent angles on a straight line
- the sum of the angles that lie on a straight line is 180°
Answer:
45° and 12
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
(8)
The polygon has n = 8, that is 8 exterior angles, thus
exterior angle = 360° ÷ 8 = 45°
(9)
The number of sides n is
n = 360 ÷ 30 = 12
Answer:
sqr 201
Step-by-step explanation:
use the Pythagorean theorem
35 is the hypotenuse so 35^2-32^2=x^2
x= sqr 201
1) we have to calculate the increase of the cost of the jacket.
Increase of the cost of the jacket=new price - previous price
increase of the cost of the jacket=$87.75 - $75.00=$12.75
2)Now, we calculate the percentaje incresae of the costo of the jacket by the rule of three.
$75=100%
$75------------------100%
$12.75------------- x
x=($12.75 * 100%) / $75=17%
Answer: the percentage increase of the cost of the jacket is 17%
