To find the perimeter, you would add all the sides. Because we know the perimeter, we can represent this as an equation that needs solved.
362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
-2 -2
<u>360</u> = <u>6x</u>, divide both sides by 6
6 6
x = 60 feet
side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet
check your work: 60 + 120 + 182 = 362 feet
Answer:
x = -3, y = 1
Step-by-step explanation:
To find the value of x and y, find the determinant of original matrix, which would be 21.
Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.
Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.
So, the x-value is -3.
You can find the determinant of the y-value in the same way, and you'll find out that y = 1.
Hope this helped! :)
Answer:
y = -½x + 5
Step-by-step explanation:
Formula for slope intercept form is y = mx + b
Where m represents the slope and b represents the y intercept
.............................
Solving for m
...........................
m = (y2 - y1)/(x2-x1)
y2 = 4, y1 = 2
x2 = 2, x1 = 6
m = (4-2)/2-6)
m = 2/(-4)
m = -½
.......................
Solving for b
.........................
Using point F(6,2) as reference
y = 2, x = 6, m = -½
if y = mx + b
Substituting 2 for y and 6 for x in the above equation
2 = -½ * 6 + b
2 = -3 + b
2 + 3 = b
5 = b
b = 5
OR
Using Point G(2,4) as reference
y = 4, x = 2, m = -½
if y = mx + b
Substituting 4 for y and 2 for x in the above equation
4 = -½*2 + b
4 = - 1 + b
4+1 = b
5 = b
b = 5
.............................................
Finally, we have to write the equation in slope form
Using y = mx + b
where m = -½ and b =5 ................ (Calculated)
y = -½x + 5
Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
Maybe you should contact your teacher
