Answer:
m∠B = 110°
Step-by-step explanation:
We know that,
The sum of the measures of the angles in a pentagon is 540°.
So, we get,
130 + (x-5) + (x+30) + 75 + (x-35) = 540
i.e. 3x + (130+30+75) - (5+35) = 540
i.e. 3x + 235 - 40 = 540
i.e. 3x + 195 = 540
i.e. 3x = 540 - 195
i.e. 3x = 345
i.e. x= 115°
Now, as m∠B = (x-5)° = (115-5)° = 110°
Hence, the measure of angle B is 110°.
Answer:
28.27cm²
Step-by-step explanation:
formula:
A=πr²
d = 2r
Solving for A
A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²
rounded: 28.27cm²
hope this helped!
The rule for g(x) is: 
Step-by-step explanation:
Given function is:

When a function f(x) is shifted right or left, b units the new function is written as:

Shifting right

Shifting left

Similarly, when shifting up or down

As our given function is shifted 3 units to the right, it will be written as:

The function is when moved down 3 units, then

Hence
The rule for g(x) is: 
Keywords: Function transformation, Functions
Learn more about functions at:
#LearnwithBrainly
Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t =
← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 =
( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t =
← equation of variation
When w = 5 and n = 40 , then
t =
=
= 16 hours
Answer: 2.9 ≠ −7 (False)
Step-by-step explanation: