The arithmetic sequence general formula is an = a1 + d *(n-1) where d is the arithmetic difference and n is an integer. In this case, upon derivation, the formula that represents the sum of the series is S = (a1 + an)*(n/2). Substituting, S = (3+75)*(10/2) equal to 390
28/36 will be your answer which can be simplified into 14/18 which can be simplified again to 7/9 and that's your final answer
Answer:
Equation → 5y = 3y + 6
Value of ST = 15
Step-by-step explanation:
From the picture attached,
In right triangles ΔVST and ΔVUT,
Acute angles ∠SVT ≅ ∠UVT [Given]
TV ≅ TV [By reflexive property of congruence]
ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]
Therefore, corresponding parts of the congruent triangles are congruent.
Therefore, ST ≅ TU
5y = 3y + 6
5y - 3y = 6
2y = 6
y = 3
Therefore, ST = 5y
ST = 5(3)
= 15
Answer:
x=-1.83
Step-by-step explanation:
1-2x=4(x+3)
1-2x=4x+12
-2x=4x+12-1
-2x=4x+11
-2x-4x=11
-6x=11
x=11÷-6
x=-1.83
60 because .7 times 60 equals 42 therefore the answer is 60
