Equation practice with angle

Mathematics

1 answer:

cestrela7 [59]2 years ago

7 0

Answer & Step-by-step explanation:

AOC is a straight angle. Straight angles have a measurement of 180°. ∠AOB and ∠BOC make up ∠AOC. So this measn that when you add ∠AOB to ∠BOC, then they should have a sum of 180°.

m∠AOB + m∠BOC = 180°

m∠AOB = 3x + 142

m∠BOC = 6x + 29

Now, set up the equation.

3x + 142 + 6x + 29 = 180

9x + 171 = 180

9x = 9

x = 1

Now that we have the value of x, then we can find the measurement of ∠BOC.

m∠BOC = 6(1) + 29

m∠BOC = 35

So, the measurement of ∠BOC is 35°

You might be interested in

Eddie believes that if he flips a coin 650 times, it will land heads up exactly 325 times. What would you tell Eddie about his p

DedPeter [7]

Eddie is correct about his prediction. A coin has two sides, one head, one tail, so there is a 50% chance that it will land heads every time Eddie flips the coin. I would tell Eddie that his prediction is reasonable and mathematically correct.

3 0

3 years ago

What is the rule

Taya2010 [7]

Add 5

y is found by adding 5 to x

5 0

2 years ago

Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95

Virty [35]

Answer:

$L(x)=1+\dfrac{1}{3}x$