Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
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<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
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<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
A ton is equivalent to 1000 pounds so:
the elephant weighs 5000 pounds
5000-570= 4430
The elephants weighs 4430 pounds more.
Answer:
Step-by-step explanation:
Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.
a) the interest if it is computed using simple interest. 12.00
=
dollars
b) the interest if it is compounded annually.
=
dollars
c) the interest if it is compounded semiannually
=
d) the interest if it is compounded quarterly.
=
e) the interest if it is compounded monthly.
=
Answer:
f= m - 5.5
Step-by-step explanation:
According to the table m is 15.25, so you would subtract 5.5 and you get 9.75 = f
Answer:
1/2
Step-by-step explanation:
prime numbers are 2,3,5, and 7
4/8 which is 1/2
