Answer:
x = 8
m∠BOC = 37°
m∠AOB = 53°
Step-by-step explanation:
If OA is perpendicular to OC, this means that <AOC = 90°
Given
m∠BOC=6x−6
m ∠AOB = 5 x + 8
The expression is true
m∠BOC+m∠AOB= m∠AOC
6x-6+5x+8 = 90
Find x:
11x + 2 = 90
11x = 90-2
11x = 88
x = 88/11
x =8
Get m∠BOC:
m∠BOC= 6x-6
m∠BOC= 6(8)-11
m∠BOC = 48-11
m∠BOC= 37°
Get m∠AOB;
m∠AOB = 90-m∠BOC
m∠AOB =90-37
m∠AOB = 53°
The answer should be D.
Hope it helped you.
Answer:
||w|| = 6
Step-by-step explanation:
||w|| = modulus or magnitude of vector w
Since formula to get the modulus of any vector = 
Vector w = <-6, 0>
x-component of vector w = (-6)
y-component of vector w = 0
Therefore, ||w|| = 
= 6
Let x = second angle
let x + 10 = first angle
let 2( (x) + (x+10) ) = third angle.
Since the interior of a triangle equals 180° then,






Inputting the value of x gives us each angle.
second angle = 25°
first angle = x + 10 = 25 + 10 = 35°
third angle = 2( (x) + (x+10) ) = 2( (25) + (25+10) )
= 110°