Answer:
The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:
2 + 2x + 7 + x + 2 = 20
Solve for x by combining like terms;
(2 + 7 + 2) + (2x + x) = 20
Which simplifies to;
11 + 3x = 20
Get rid of constants;
-11 -11
3x = 9
Isolate x by getting rid of it's coefficient;
/3 /3
<u>x = 3</u>
Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.
x + 2
<u>3</u> + 2
= <u>5 inches.</u>
Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.
2x
2(3)
= <u>6 inches.</u>
Answer:
y = 12
Step-by-step explanation:
y = kx
-4 = k * 2
k = -4/2 = -2
y = -2x
y = -2 * (-6)
y = 12
Step-by-step explanation:
Hope this helps
Hope this is correct
Base is 12 feet square so 12 *12 = 144 square feet
each triangle has base of 12 feet and height of 8 feet
area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet
48 x 4 triangles = 192 square feet
total: 192 + 144 = 336 square feet
Answer: ( 11, -2 )
Step-by-step explanation:
The mid point of a line is calculated using the formula:
M = (
, 
)
From the question , the mid point is already given , substituting , we have :
(5 , - 7.5 ) = (
, 
)
Equating the x component to x and the y component to y , we have
5 =
x - 1 = 10
x = 11
Also
- 7.5 =
-15 = y - 13
-15 + 13 = y
Therefore : y = -2
Therefore : the location of point P is ( 11, -2 )
