Step-by-step explanation:
The first term of the AP (a) = 3
and common difference (d) = 8-3= 5
therefore, a+(n-1)d = 78
=> 3+(n-1)5= 78
=> n-1=75/5
=> n-1 = 15
=> n= 16
16th term of the AP is 78
4x-1=9x-2
Add 1 to both sides
4x= 9x-1
Subtract 9x from both sides
-5x=-1
Divide both sides by -5
X=-1/-5
A. 4*1 - 3*2 = 4 - 6 = -2 (X
B. 4*4 - 3*2 = 16 - 6 = 10 (O
C. 4*7 - 3*6 = 28 - 18 = 10 (O
D. 4*4 - 3*(-3) = 16 + 9 = 25 (X
so the answers are B and C
Answer:
x=15
Step-by-step explanation:
21:2x=7:10 can be rewritten as 21/2x=7/10
21/2x=7/10, cross multiply
= 14x=210
x=15
The decomposition of the parallelogram into triangle then into a rectangle is shown below
The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet
Area = 15 × 10 = 150 feet²