Answer:
x = 71
Step-by-step explanation:
Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180. Call the unknown angle GHI
B+ D+ GHI = 180
31+ 40 + GHI = 180
71 + GHI = 180
GHI = 180 -71
GHI = 109
We know that GHI + x = 180 since it forms a straight line
GHI + x =180
109 + x = 180
x = 180-109
x = 71
Answer:
The system of equations is :
Equation 1-
Equation 2-
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1-
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2-
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1
Put value of x in equation 2
Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5