Answer:
<em>B. 30 degrees</em>
Step-by-step explanation:
Find the diagram attached
From the diagram:
Interior angles are m<3 and m<2
Exterior angle = <4
using the rule that says that the sum of interior angles is equal to the exterior angle we have:
m<2+m<3 = m<4
(4/3)x°+20 = 2x°
multiply through by 3:
4x° + 60 = 6x°
4x°-6x° = -60
-2x° = -60
x°= -60/-2
<em>x° = 30°</em>
Hence the value of x is 30 degrees
Answer:
Binomial
Step-by-step explanation:
P = a² + bcd³
The polynomial contains two terms, so it is a binomial.
Answer:
<h2>
64.8</h2><h2>
</h2>
Step-by-step explanation:
total area = rectangle + semi circle
= (11 x 5) + (1/2 * π * 2.5²)
= 55 + 9.8
= 64.8 sq. units
Answer:
Step-by-step explanation:
Let d represent the number of dimes. Then 81-d is the number of nickels and the total value in cents is ...
10d +5(81-d) = 530
5d +405 = 530 . . . eliminate parentheses
d +81 = 106 . . . . . divide by 5
d = 25 . . . . . . . . . subtract 81; number of dimes
81 -d = 81 -25 = 56 . . . . . number of nickels
There are 25 dimes and 56 nickels in the box.
_____
<em>Comment on the method of solution</em>
It usually works well to let the variable represent the amount of the highest-value contributor (dimes). This keeps the numbers positive as the solution progresses.