Answer:
x = 8
Step-by-step explanation:
Equilateral triangle : congruent angles
3(7x+4) = 180
21x + 12 = 180
21x = 180-12
x = 168/21
x = 8
First find the equation of y.

Find the slope m.
.
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
.
The equation of a line y is:
.
The perpendicular line
is same like the normal line except its slope m becomes:
.
The equation of a perpendicular bisector is thus:
.
Hope this helps.
Answer:
3 inches
Step-by-step explanation:
Lenght = 18 inches
Width =15 inches
Perimeter of the rectangular painting and frame = 90 inches
Let X be the width of the frame
The width of the framed picture = 15 + 2x
The length of the framed picture = 18 + 2x
Perimeter = 2 (L + W)
90 = 2(15 + 2x + 18+ 2x)
90 = 2(33 + 4x)
90 = 66 + 8x
8x = 90 - 66
8x = 24
x = 24/8
x = 3 inches
the width of the frame is 3 inches
<h3>(14, 20) is the ordered pair of the function f(x)</h3>
<em><u>Solution:</u></em>
Given that,
(20, 14) is an ordered pair of the inverse of f(x)
We have to find the ordered pair of the function f(x)
In an inverse funciton, the domain of f(x) becomes the range and range of f(x) becomes the domain
To find the ordered pair of the function f(x), we swap the variables x and y
(y, x) of inverse of f(x) becomes (x, y) of f(x)
Therefore, (14, 20) is the ordered pair of the function f(x)
Answer:
$592.92
Step-by-step explanation:
Bills:
47 ones = 47*1 = $47
22 fives = 22*5 = $110
9 tens = 9*10 = $90
17 twenties = 17*20 = $340
Total Bills: 47+110+90+340 = $587
Coins:
67 pennies = 67*1 = $0.67
12 nickels = 12*5 = $0.60
9 dimes = 9*10 = $0.90
15 quaters = 15*25 = $3.75
Total Coins: 0.67+0.6+0.9+3.75 = $5.92
Total: $587+$5.92 = $592.92