The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.
Option D is correct.
<h3>What is the slope of a graph?</h3>
The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).
From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.
Learn more about the slope of a graph here:
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Answer:
circumference:
2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)
Answer:
Step-by-step explanation:
All the angles within a triangle equals to 180, and that square thing at a corner of the triangle means that the angle is 90 degrees, so:
20+6x+16+90=180
add stuff
6x+126=180
subtract 126 from both sides
6x=54
divide 6 from both sides
x=9
Ahh, the ol' trick word problems.
Okay so lets break this down.
So we have 7,000 square feet of work that must be done. We can lose the square feet part as it will only interfere with solving the problem.
So lets say we have 7,000 amount of work that needs to be done.
We know that our company can get 35 work done in one hour. Our company also works 10 hours per day so we can say we get 350 work done per day.
We need to figure out how much of the work we got done in four days so we can multiply it by 4 and get 1400 work in four days.
1400/7000 work has been complete. Lets simplify this.
14/70 work has been completed.
Now we need to find the percent using our good friend ratios.
14/70 = x/100
Then we use cross multiplication to solve and we get 20/100.
We have 20% of the work done.
Pro Tip: In real life, you can assume that when you are at 20% work done that it wont actually be 20% because your boss will want you to be done within 12 days. In real life, you would have 60% of it done and on to the next project!
I need a new job...
Let
x-----------> the distances measured in miles
<span> Abby method
1)2x
2)2x-20%------> 2x-0.4x
</span>algebraic expression<span>-----> [2x-0.4x]---------> 1.6x
</span> Renato method
1)x/5
2)(x/5)*8-------> 8x/5
algebraic expression----->[8x/5]---------------> 1.6x<span>
Part B)
</span>[2x-0.4x]=[8x/5]---------> 1.6x=8x/5--------> 5*(1.6x)=8x-------> 8x=8x
therefore
<span>the two methods give the same answer
the answer is 1.6x</span>
