Answer:
m<B = 141 degrees
Step-by-step explanation:
This shape is a heptagon meaning its angles should have a sum of 900 degrees.
we are given the degrees and we need to ad them up
148+90+120+129+130+142=749
then we subtract 749 from 900 which looks like
900-749=141
from subtracting 749 from 900 we get 141 hence we get our answer that m<B = 141 degrees
The last answer - hypothenuse
<u>Answer:</u>
Equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas
<u>Solution:</u>
Given that
Cost of large pizza = $5 each
Cost of large one-topping pizza = $6 each
Need to write the equation that represents total cost t of c large pizzas and d large one topping pizzas.
From given information
Cost of 1 large pizza = 5
So cost of c large pizzas = c x 5 = 5c
Cost of 1 large one-topping pizza = 6
So cost of d large one-topping pizzas =d x 6 = 6d
<em>Total cost t = cost of c large pizzas + cost of d large one-topping pizzas </em>
=> t = 5c + 6d
Hence equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas.
Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.
diag d = √(6²+6²) = 6√2 in
The diagonal is also the diameter of the circle! So the radius of the circle is half of that:
radius r = d/2 = 3√2 in
The area of the circle is πr² = π(3√2)² = 18π in²