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Alex73 [517]
3 years ago
6

map of a city uses the scale 1 cm equals 50 m. On the​ map, South Street is 25 cm long. If there is a traffic cone at the start

of South Street and a cone every 10 m along the​ road, how many traffic cones are there in​ all?
Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Answer:

125 traffic cones

Step-by-step explanation:

In order to find the total number of meters, we can set up a proportion to find based on the ration of cm to m:

\frac{centimeters}{meters}=\frac{1}{50}=\frac{25}{x}, where 'x' is the number of meters

cross-multiply: x = 25(50) or x = 1250 m

Since there is a cone every 10 m, we can divide the total number of meters by 10:

1250/10 = 125 cones

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Evaluate the function<br> f(x)= 7.45x + 33.7 at x= -4.3
slavikrds [6]
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6 0
3 years ago
HELP PLZ!!! I'M GIVING 15 POINTS FOR IT!!!!!!
Sati [7]

Answer:

a. True

b. False

c. True

d. False

Step-by-step explanation:

a. True

Where, there are three straight lines intersecting one another, and whereby the sum of the interior angles formed between one of the straight lines and the other two is less than 180°, then the other two straight lines will cross if extended further on the same side of the figure where  the sum of the intersecting angles between the lines was found to be less than 180°.

The converse statements is that

If three lines are drawn with two of the lines converging, then the third line can be drawn such that the sum of the interior angles between it and the other two lines is less than 180°

The contrapositive statements is that

If the sum of the interior angles between a first line and the other two lines is equal to 180° then the other two lines will not meet

b. False.

The answer is false is false because,

The length of the sides of the square must be equal

The interior angles of the square must also be equal

c. True

From Postulate 1, the sum of two adjacent angles on one side of the two intersecting lines is equal to 180°. So also on the other side of the intersection, the sum of the adjacent angles is equal to 180.

Therefore, we have

180° + 180° = 360°

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If two lines meet at a point then the sum of angles at the point is 360°

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If the two lines do not meet, then the sum of angles on each line is 180°

d. False

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8 0
4 years ago
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Finger [1]
Problem:
find line perpendicular to 4x+7y+3=0 passing through (-2,1).

Solution:
We will first find the general form of the perpendicular line.
The perpendicular line has the form
7x-4y+k=0 .........................(1)
by switching the coefficients of x and y, and switching the sign of one of the two coefficients.  This way, the slope of (1) multiplied by that of the original equation is -1, a condition that the two lines are perpendicular. The value of k is to be determined from the given point (-2,1).

To find k, we substitute x=-2, y=1 into equation (1) and solve for k.
7(-2)-4(1)+k=0
=>
k=14+4=18
Therefore the required line is
7x-4y+18=0

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3 years ago
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