Given :-
- Two triangles with their two angles equal .
To Find :-
Answer :-
Here in ∆ABC and ∆EDC ,
- CAB = CED (given )
- CBA = CDE (given)
Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,
→ AC/EC = BC/DC
→ AC/9 = 8/12
→ AC = 8/12 * 9
→ AC = 6
<u>Hence</u><u> the</u><u> </u><u>measure</u><u> of</u><u> </u><u>side </u><u>AC </u><u>is </u><u>6</u><u> </u><u>.</u>
I hope this helps.
Answer:
2 years
Step-by-step explanation:
Simple interest is calculated using the formula: I = prt, where I = the amount of interest earned, p = principal amount, r = rate and t = time. In this case, you know the principal = $2000, the rate = 1.5% or 0.015 and the I = $60, so you are solving for time 't':
I = prt or $60 = $2000(0.015)t
Simplify: 60 = 30t
Divide both sides by 30: 60/30 = 30t/30 or t = 2 years.
Answer:
r = 8 cm
h = 28 cm
Volume of cone shaped vase
= 1/3 x π x r^2 x h
= 1/3 x 3.14 x 8 x 8 x 28
= 1875.626 cm^3
= 1875.63 cm^3 (approx.)
Hi again :)
5(y + 1) = 30
Once again, use the distributive property
(5)(y) + (5)(1) = 30
5y + 5 = 30
Add -5 to both sides
5y + 5 - 5 = 30 - 5
5y = 25
Divide both sides by 5
5y/5 = 25/5
y = 5
Best of luck!
Answer:
(-∞,+∞)
Step-by-step explanation:
If you look at the graph, you'll see that the lines have arrows. These arrows mean the line extends infinitely. Due to this, the domain of the graph would be from negative infinity to positive infinity.