Answer:
3/5
Step-by-step explanation:
Have a nice day :).
Hello!
The interior angles of every triangle add to equal 180 degrees. With that, you can add all angle expressions and set them to equal 180 to find x:
180 = 2x + 50 + x + 46 + 3x
180 = 6x + 96
84 = 6x
14 = x
Now, substitute 14 for x in each expression to find the value of each angle:
2x + 50 => 2(14) + 50 => 28 + 50 => 78
x + 46 => 14 + 46 => 60
3x => 3(14) => 42
Let's check our work:
180 ? 78 + 60 + 42
180 = 180 <--True
Angle A = 42 degrees
Angle B = 78 degrees
Angle C = 60 degrees
Hope this helps!
Answer:
149
Step-by-step explanation:
If the expression 3x+10 is equal to 6 for some value of x, then what is the value of 3x+2 equal to for the same value of x ?
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
