Answer:
Your answer is 2 2/5.
Step-by-step explanation:
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1/8+1/3. The denominator is changed to 24. 1/8 will turn to 3/24 and 1/3 will turn to 8/24. 3/24+8/24= 11/24.
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
An equation of the form y=ax+b, where y and x are variables, and a and b are constants, is called a linear equation.
The reason it is called linear is because the graph of the equation is a line.
The line passes through the origin only if b=0, as in our problem.
Any line (except vertical lines) represents a proportional relationship in that the change in y is proportional with the change in x. It is not a condition that the line passes through the origin.
In our specific case, y=(1/5)x, means that the change in y is always 1/5 of the change in x. That is, if x changes by 5 units, y changes by 1. If x changes by 10 units, y changes by 2, and so on.
So, the constant of proportionality is 1:5, or 0.2.
Answer:
3.5 yards and 10 yards
Step-by-step explanation:
