300 200
20 30
+ 4 + 1
---------
Answer:
d) m<ADC=44°
Step-by-step explanation:
7x-19=9x-37
-19+37=9x-7
18=2x
x=9
m<ADC=9x-37=9(9)-37=81-37=44
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = 
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = 
A = 120°
Similarly, interior angle of the regular pentagon,
B = 
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = 
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
Answer:

Step-by-step explanation:
Let use the following trigonometric identities:

Then, the equation is simplified by substituting its components:




