They are equal so...
15x+2 = 9x+20
15x-9x = 20-2
6x =18
x = 18/6 = 3
x = 3
Answer:
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Step-by-step explanation:
<u><em>The correct question is </em></u>
Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?
Let
x ----> the number of cards that Frank has
y ----> the number of cards that his friend has
we know that
Together they have 42 cards
----> equation A
Frank has 6 more than half the number of cards as his friend
---> equation B
Solve the system by substitution
Substitute equation B in equation A
solve for y
<em>Find the value of x</em>
therefore
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Answer: opposite sides with equal length
Step-by-step explanation:
<h3>Answer: 6pi radians</h3>
(this is equivalent to 1080 degrees)
======================================
Explanation:
f(x) = sin(x/3)
is the same as
f(x) = 1*sin( (1/3)(x-0) )+0
and that is in the form
f(x) = A*sin( B(x-C) )+D
The letters A,B,C,D are explained below
A = helps find the amplitude
B = 2pi/T, where T is the period
C = determines phase shift (aka left/right shifting)
D = determines vertical shift = midline
All we care about is the value of B as that is the only thing that is connected to the period T
--------
Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,
B = 2pi/T
1/3 = 2pi/T
1*T = 3*2pi ... cross multiply
T = 6pi
The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).
Answer:
congruent
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.
