Work shown above! x = 7
To solve use the supplementary angle next to the unknown angle to find an expression for that unknown angle and use that with the expressions inside the triangle to set equal to 180 and solve for x.
hope this helps c:
Answer:
x=6
Step-by-step explanation:
(x*3)+4=22
Subtracting 4 from both sides:
(x*3)=18
Dividing both sides by 3:
x=6
Hope this helps!
Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Answer:
false
Step-by-step explanation:
hope it will be helpful
Answer:
yes
Step-by-step explanation:
y=3x + 1
y = -x+5
Check if (1,4) solves the first equation
4 = 3(1)+1
4 = 3+1
4=4
This is true
Check the second equation
4 = -1+5
4=4
This is true
(1,4) is a solution to the system of equations
