I suppose the fifth picture is right.
9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...
9%·x +4%(7000-x) = 430
5%·x +280 = 430 . . . . . . . . . simplify
0.05x = 150 . . . . . . . . . . . subtract 280
x = 3000 . . . . . . . . . . divide by 0.05
$3000 was invested at 9%; $4000 was invested at 4%.
Answer:
cos47° = 
Step-by-step explanation:
cos47° = 
=
Answer:
From the graph attached, we know that 
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like 
and 
.
We also know that, by definition of linear pair postulate, 
and are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and together are 180°, because they are on a straight angle. That is, 
If we substitute for , we have 
, which means that and are also supplementary by definition.
The answer would be 36
Hope this helps! :)
~Asuka
