Answer:
a). x = 11
b). m∠DMC = 39°
c). m∠MAD = 66°
d). m∠ADM = 36°
e). m∠ADC = 18°
Step-by-step explanation:
a). In the figure attached,
m∠AMC = 3x + 6
and m∠DMC = 6x - 49
Since "in-center" of a triangle is a points where the bisectors of internal angles meet.
Therefore, MC is the angle bisector of angle AMD.
and m∠AMC ≅ m∠DMC
3x + 6 = 8x - 49
8x - 3x = 49 + 6
5x = 55
x = 11
b). m∠DMC = 8x - 49
= (8 × 11) - 49
= 88 - 49
= 39°
c). m∠MAD = 2(m∠DAC)
= 2(30)°
= 60°
d). Since, m∠AMD + m∠ADM + m∠MAD = 180°
2(39)° + m∠ADM + 66° = 180°
78° + m∠ADM + 66° = 180°
m∠ADM = 180° - 144°
= 36°
e). m∠ADC = 
= 
= 18°
12x50=600 so 60 left
15x50=750 so 60 left
so the administration fee is 60
Riya’s BMI is 20 which means she is a normal weight. Her brother’s BMI is 18.7, which is low but is still a normal weight. So yes, their heights are proportioned to their weights.
Step-by-step explanation:
answer is 1 and 13 over 70
The height of the lighthouse is :
h = 14 ft ( same as the distance from Kelly to a lighthouse ).
tan y = 14 / ( 14 + 12 ) = 14 / 26 = 0.5384615
y = tan^(-1) 0.5384615 = 28.3°
Answer: y = 28.3°