Answer:
SAS Postulate.
Step-by-step explanation:
Two triangles are congruent if anyone of the following postulates is true:
SAS - Two corresponding sides and the included angles are congruent to each other.
SSS - All the three corresponding sides are congruent.
ASA - Two corresponding angles and the included sides are congruent to each other.
AAS - Two corresponding consecutive angles and sides adjacent to either of the angles are congruent.
HL - If the corresponding hypotenuses and one corresponding legs are congruent to each other.
Here, in the figure, two corresponding sides and the included angle between them are congruent to each other.
So, the two triangles are congruent by SAS postulate.
Given :
Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.
She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
To Find :
What is Prema’s profit in 2009 and 2010.
Solution :
Price of one third ounces of gold, in 2005 is :
P = $414/3 = $138 .
Profit from selling them in 2009 is :
P1 = $(953 - 138) = $815 .
Profit from selling them in 2010 is :
P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .
Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.
Hence, this is the required solution.
Answer:
x = 34°
y = 15
Step-by-step explanation:
x + 146 = 180
x = 34°
4y + 8 + 5y + 3 + 34 = 180
9y + 45 = 180
y = 15
This can be solve by first solving the proportionality constant
Number electic outlets rewired is directly proportional to
time spent
4 = (1 ½)a
Let be the proportionality constant
A = 8/3
O = (8/3)(7.5)
o = 20 outlets will jamal rewired if he works for 7.5 hrs