Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
ED = 
ED = 9.25 m
Height of the goalpost is 9.25 m.
Answer:
15. d) 36
16. b) 20
17. d) 180
18. b) 50
19. c) 360
20. b) 60
Step-by-step explanation:
To find the number of sides a polygon has giving an interior angle, use the equation:
(number of sides - 2)*180/(number of sides) = measure of interior angle
<em>15. </em>(n = number of sides)
((n-2)*180)/n = 170
180n-360 = 170n
10n = 360
n = 36 (d)
<em>16.</em> (n = number of sides)
((n-2)*180)/n = 162
180n-360 = 162n
18n = 360
n = 20 (b)
<em>17.</em> The sum of the interior angles of a triangle is always 180 (d)
<em>18.</em> 180-60-70 = 50 (b)
<em>19.</em> The sum of the interior angles of a quadrilateral is always 360 (c)
<em>20.</em> 360-120-90-90 = 60 (b)
Answer:
i'm sure its 16
Step-by-step explanation:
Multiplying decimals is basically the same thing as multiplying whole numbers, but a little tougher. For example, 3 X 2 = 6, which is quite easy, but yoou might need more education to solve 3.6 X 2.6 = 9.36
Answer:
13
Step-by-step explanation:
If BE is the bisector then m<ABE must be equal to m<EBC
So we make the equation like this :
2x + 20 = 4x - 6
➡
20+6 = 4x-2x
➡
26=2x
➡
x = 13
