Answer:
71 degrees
Step-by-step explanation:
Hi there!
- Find ∠DBH (using the sum of interior angles in a triangle)
- Find ∠x (180-∠DHB)
<u>Triangle DBH</u>
The sum of all the interior angles in a triangle is equal to 180 degrees. Knowing this, we can solve for ∠DHB by subtracting 31 and 40 from 180:
180-31-40 = 109
Therefore, ∠DHB is 109 degrees.
<u>Angle x</u>
Because ∠x and ∠DHB make a straight angle, to find ∠x, we just have to subtract 109 from 180:
180-109 = 71
Therefore, x is 71 degrees.
I hope this helps!
Answer:
Step-by-step explanation:
If OA is perpendicular to OC, then <OAC = 90°
<OAC = <AOB + <BOC
Given
<AOB = 6x-12
<BOC = 3x+30
On substituting this values into the formula:
6x-12+3x+30 = 90
9x+18 = 90
Subtract 18 from both sides
9x+18-18 = 90-18
9x = 72
x = 72/9
x = 8°
Since <AOB = 6x-12
<AOB = 6(8)-12
<AOB = 48-12
<AOB = 36°
Also <BOC = 3x+30
<BOC = 3(8)+30
<BOC = 24+30
<BOC = 54°
The answer is going to be 20x-4
0.6 = the fourth graph 0.2=the third graph 20=the first graph 40=the second graph
I hope this helps