Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.
Some metals melt at lower temps than others. Tin becomes liquid at 231.8˚C (447.8˚F); at the other end of the spectrum, tungsten has the highest melting point of any metal: 3,422˚C (6,192˚F). Somewhere in the middle is mercury, which stays in a liquid state until its temperature drops to -40.
What is the word problem?
Answer:
Step-by-step explanation:
4 g.
c=42
a=b=d
a+b+42=180
a+a=180-42
2a=138
a=138/2=69
a=69
b=69
c=42
d=69
5a.
a=30
angle O=180-(a+30)=180-(30+30)=180-60=120°
d=80
angle O=180-(d+80))=180-(80+80)=180-160=20°
central angle O of middle triangle=180-(120+20)=180-140=40°
b=c
b+c+40=180
b+b=180-40
2b=140
b=140/2=70
b=70°
c=70°
