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svetoff [14.1K]
3 years ago
7

this year the winner of the New York Marathon ran the 8 km event in 24 minutes what is the runners unit rate

Mathematics
1 answer:
yan [13]3 years ago
7 0
1 km every 3 minutes
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What is m∠HLK? thanks
Katen [24]
The answer is 80°.

If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.

In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.

When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.

The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.

So if HFG is 80°, HLK must be equal to 80°
3 0
3 years ago
Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.
strojnjashka [21]

Answer:

Step-by-step explanation:

Graph:  f(x) = 1 - ex

You meant f(x) = 1 - e^x, where ^ represents exponentiation.

First, graph the parent function y = e^x.  The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept.  The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x.  The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.

Finally, translate the whole graph upward by 1 unit.

5 0
2 years ago
Evaluate 4+8 divided by2x (6-3)
Masja [62]

Answer:

if the "x" is a multiplication symbol, the answer is 2.

Step-by-step explanation:

8 0
2 years ago
The solution shown for the equation is incorrect. What is the correct​ solution? What is the​ error?
Degger [83]
-9(3-r)=45
-27+9t=45
9r=45+27
R=72/9
R=8
The answer is 8 not -8
5 0
3 years ago
1. What is the value of x in the figure?<br> (4x + 2)<br> 150°
vlabodo [156]
X = 37
150= 4x + 2
148 = 4x
X = 37
3 0
2 years ago
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