Step 1: 81/13.5
step 2: $6
step 3: for every hour he worked, ben earned $6
Answer:
x = 14
Step-by-step explanation:
y and x have a proportional relationship. That means that I can multiply them both or divide them both by the same thing and still stay proportional.
when y = 15, x = 6
when y = 5, x = 2 (divided by 3)
when y = 35, x = 14 (multiplied by 7)
MS and PQ are parallel
If <SMP = 50 then <P (on the left side) = 50 (alternate interior angles)
arc LP = 50 x 2 = 100
given arc LR =170
so arc LPR = 360 -170 = 190
arc PR = 190 - 100
arc PR = 90
Answer:
The answer is the option A
![\frac{1}{2}(\sqrt{[(y2)^{2}+(x2)^{2}]*[(y1)^{2}+(x1)^{2}]})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Csqrt%7B%5B%28y2%29%5E%7B2%7D%2B%28x2%29%5E%7B2%7D%5D%2A%5B%28y1%29%5E%7B2%7D%2B%28x1%29%5E%7B2%7D%5D%7D%29)
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
The area of the triangle is equal to
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
where
b is the base
h is the height
In this problem
![b=AB, h=AC](https://tex.z-dn.net/?f=b%3DAB%2C%20h%3DAC)
the formula to calculate the distance between two points is equal to
Find the distance AB
![A(0,0), B(x2,y2)](https://tex.z-dn.net/?f=A%280%2C0%29%2C%20B%28x2%2Cy2%29)
substitute
Find the distance AC
![A(0,0), C(x1,y1)](https://tex.z-dn.net/?f=A%280%2C0%29%2C%20C%28x1%2Cy1%29)
substitute
Find the area of the triangle
we have
![b=\sqrt{(y2)^{2}+(x2)^{2}}, h=\sqrt{(y1)^{2}+(x1)^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B%28y2%29%5E%7B2%7D%2B%28x2%29%5E%7B2%7D%7D%2C%20h%3D%5Csqrt%7B%28y1%29%5E%7B2%7D%2B%28x1%29%5E%7B2%7D%7D)
substitute
![A=\frac{1}{2}(\sqrt{[(y2)^{2}+(x2)^{2}]*[(y1)^{2}+(x1)^{2}]})](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28%5Csqrt%7B%5B%28y2%29%5E%7B2%7D%2B%28x2%29%5E%7B2%7D%5D%2A%5B%28y1%29%5E%7B2%7D%2B%28x1%29%5E%7B2%7D%5D%7D%29)