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:
slope for perpendicular line is -3
Step-by-step explanation:
just flip the reciprocal for the slope and change the positive/negative sign
A.........................................
Step-by-step explanation:
you know how to calculate the area of a rectangle ?
it is length × width.
now the volume of a 3D-rectangle (= a rectangular prism) is simply
length × width × height.
in our case
5 1/2 × 1 1/2 × 2 = 11/2 × 3/2 × 2 = 33/2 =
= 16 1/2 cubic units
Answer: (32/2)*3=48
Step-by-step explanation:
In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.
Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.
If we'd like to turn this into one equation, it looks like this: (32/2)*3=48
