Answer:
Alright well the Answer to your question is
x > 10 Hope this helps :)
Step-by-step explanation:
1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
Principal = 1600
annual interest = 6% / year
period = 7 years
Future value after 7 years
= 1600(1+0.06)^7
=1600(1.06^7)
=$2045.81
=$2046 (to the nearest dollar)
Answer:
18 marbles
Step-by-step explanation:
Step 1
Express the fraction of each type of marble as a function of the total number of marbles as shown;
Let;
total marbles=x
red marbles=3/(3+4)=3/7x
blue marbles=4/7 x
But x=42 marbles
The total number of marbles for each type can be expressed as;
total number of red marbles=fraction of red marbles×total number of marbles
where;
fraction of red marbles=3/7 x
total number of marbles=42
replacing;
total number of red marbles=(3/7)×42=18 marbles
total number of blue marbles=fraction of blue marbles×total number of marbles
where;
fraction of blue marbles=4/7 x
total number of marbles=42
replacing;
total number of blue marbles=(4/7)×42=24 marbles
The answer is ym=b your welcome
