Answer:
1. (5x - 2) + (2x - 2) + x = 
2. m<J = 
3. m<K = 
4. m<L = 
Step-by-step explanation:
Generally, the sum of angles in a triangle = .
So that;
m<J + m<K + m<L =
(5x - 2) + (2x - 2) + x =
5x + 2x + x -2 -2 =
8x - 4 =
8x = + 4
8x = 184
x = 
x =
Thus,
m<J = (5x - 2)
= 5(23) - 2
=
m<K = (2x -2)
= 2(23) - 2
=
m<L = x
=
A) 2x -3(3x -7) = 7 . . . . substitute for y
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)
B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)
C) See the first graph.
(x, y) = (-4, 1)
D) See the second graph.
(x, y) = (3, 2)
Answer: 8
Step-by-step explanation:
<h3>Y
ou have the correct answer</h3><h3>Interest rate = 21.5%</h3>
===============================================
Work Shown:
i = P*r*t .... simple interest formula
i = simple interest
i = 2075-1000 = 1075
P = 1000 = amount borrowed (principal)
r = unknown interest rate
t = 5 = time in years
So,
i = P*r*t
1075 = 1000*r*5
1075 = 5000r
5000r = 1075
r = 1075/5000
r = 0.215
r = 21.5%
Okay so you can add up all the marbles to find a rate and divide.
Total: 20 marbles
Blue: 25% chance
Red: 40% chance
Green: 45% chance
