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:
<h3>The 12th term is 1771470</h3>
Step-by-step explanation:
Since the above sequence is a geometric sequence
An nth term of a geometric sequence is given by

where a is the first term
r is the common ratio
n is the number of terms
From the question
a = 10
To find the common ratio divide the previous term by the next term
That's
r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3
Since we are finding the 12th term
n = 12
So the 12th term is


<h3>A(12) = 1771470</h3>
Hope this helps you
<span>2 square root (x - 5) = 2. 2^2 (x -5) = 2^2. 4(x - 5) = 4. 4x - 20 = 4. 4x = 24. x = 6. This solution is not extraneous, because extraneous solutions emerge from solving the problem but are not actually valid solutions for the initial problem. With rounding, this solution is valid for the initial problem.</span>
Answer:
b. is $34 per ounce
Step-by-step explanation:
If the production cost were less, a competitor would drive the price down. If the production cost were more, the supplier would go out of business.
Since we're at equilibrium, the production cost must be equal to $34 per ounce.
Answer: 9.41176471 mpg
Step-by-step explanation: You need to divide 320 miles by 34 gallons which leaves you in miles per gallon