Answer:
6
Step-by-step explanation:
The figure inside the circle is symmetric. Therefore, 3x + 5 = 5x - 7. Solving for x, we subtract 3x from both sides and then add 7 to both sides. This comes out to 2x = 12, meaning that x must be 6.
Answer:
Height= 8341.6 feet
Step-by-step explanation:
A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.
40°30'= 40.5°
37°46'= 37.767°
b = 180-40.5
b= 139.5°
a= 180-139.5-37.767
a= 2.733°
Using sine method
1000/Sina= y/sinB
1000/sin 2.733= y/sin 139.5
(1000*sin 139.5)/sin 2.733= y
(1000*0.6494)/0.04768= y
13619.96= y
Y= 13620 feet
Height/sin 37.767= 13620
Height=13620*sin37.767
Height= 8341.59
Height= 8341.6 feet
x=4x+3
Simplifying
x = 4x + 3
Reorder the terms:
x = 3 + 4x
Solving
x = 3 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
x + -4x = 3 + 4x + -4x
Combine like terms: x + -4x = -3x
-3x = 3 + 4x + -4x
Combine like terms: 4x + -4x = 0
-3x = 3 + 0
-3x = 3
Divide each side by '-3'.
x = -1
Simplifying
x = -1
I hope you get this for whatever reason you asked this