Answer:
p = 16
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
24p = 384 ( divide both sides by 24 )
p = 16
Answer:
height=12
Step-by-step explanation:
To find the height of the triangle first you would have to change it into a right triangle.
The right triangle would have a base of 5 and the hypotenuse would be 13
The n you would use Pythagorean theorem to find the height
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
![{5}^{2} + {b}^{2} = {13}^{2}](https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7B13%7D%5E%7B2%7D%20)
![{b}^{2} = 144](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%20%3D%20144)
b=12
Well first we need to change the format of the equations to slope-intercept, or y=mx+b.
So the first one (x + y < 1) will be changed to y < -x + 1.
The second one (2y ≥ x - 4) will be changed to y <span>≥ x/2 - 2.
Now we can analyze each graph.
In every single graph the first equation (y < -x + 1) is graphed correctly.
Now for the second equation, we can see that only the first and last graph correctly format to the equation.
Now for the shading:
The first equation shows us that y is less than -x +1, making the shading go under the dotted line. (to the left)
The second equation shows us that y is greater than or equal to x/2 - 2, making the shading go above the line. (also to the left)
Therefore, when we shade, the overlapping shading is correctly formatted in the first graph.
Hope this helped, comment any questions you have for me.</span>
$630
The total perimeter is 42 and 42x15=630
Answer:
43 hours
Step-by-step explanation:
![\frac{y}{1} :\frac{408}{9.5}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B1%7D%20%3A%5Cfrac%7B408%7D%7B9.5%7D)
y × 9.5 = 408 × 1
9.5y = 408
9.5y ÷ 9.5 = 408 ÷ 9.5
![y=42\frac{18}{19}](https://tex.z-dn.net/?f=y%3D42%5Cfrac%7B18%7D%7B19%7D)
43 hours