Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
Answer:
AC ≈ 2.96
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos65° = 
= 
= 
Multiply both sides by 7
7 × cos65° = AC , thus
AC ≈ 2.96 ( to the nearest hundredth )
Answer:
1.) -5
2.) -4
Step-by-step explanation:
For number 1, you sub in -2 for x.
2 multiplied by -2 is -4, minus 1 = -5.
For the second one, sub in 5 for x.
-5 + 1 = -4.
Answer:
Diameter of tank = 19.5 ft
Step-by-step explanation:
Volume of cylinder = Base area x Height.
Base area = Area of circle
Height = 20 ft.
Volume of tank = 6000 cubic feet .
Diameter of tank = 19.5 ft
