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Vinvika [58]
3 years ago
8

Your house is located at point L. Your friend's house is located at point N.

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:  12 units

Replace "units" with "feet", "meters", etc. if your teacher instructs it.

==============================================================

Explanation:

M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.

So,

LM = MN

3x = 2x+2

3x-2x = 2

x = 2

Use this x value to then say

  • LM = 3x = 3*2 = 6
  • MN = 2x+2 = 2*2+2 = 4+2 = 6

Segments LM and MN are 6 units each.

From that, we know,

LN = LM+MN = 6+6 = 12

The distance from your house to your friends house is 12 units.

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The area of circle B is 45x ____. The ratio of circle A to Circle B
Leokris [45]

Answer:

<h3>a) 3/4</h3><h3>b) 4:3</h3>

Step-by-step explanation:

Find the diagram attached.

Given the scale factor of circle A to circle B as 3/4

A:B = 3:4

Total ratio = 3+4 = 7

Area of bigger square A = 45sq. units;

The Total area can be gotten using the expression;

\frac{4}{7} \times x = 45 where;

x is the total area of both circles.

Get x;

\frac{4}{7} \times x = 45\\4x = 7 \times 45\\4x = 315\\x = \frac{315}{4}\\x =  78.75

Area of circle B = 78.75 - 45 = 33.75

Let the fraction required be y

45 * y = 33.75

y = 33.75/45

y = 3375/4500

y = 45/60

y = 3/4

Hence the area of circle B is 45 * <u>3/4</u> of circle A

b)The ratio of circle A to Circle B is expressed as;

Ratio = Area of circle A/Area of circle B

Ratio = 45/33.75

Ratio = 45 * 100/3375

ratio = 4500/3375

Ratio = 4:3

Hence the ratio of circle A to Circle B is 4:3

6 0
3 years ago
A car travels at 180 miles in 7 hours. how many feet per second does the car travel?
Colt1911 [192]
180/7=25.71428571 per hour
25.71428571/60=0.428571428 (per second
0.428571428/60=0.007142857 (per minute) miles
in foot it is 0.000595238


6 0
3 years ago
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p
vovikov84 [41]

Answer:

118

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.

Mode is a measure of central tendency

118 appears 3 times while others appear once so it is the mode

5 0
3 years ago
A ski rental store rents a pair of skis for $44 a day and a snowboard for $58 a day. Yesterday, the store made $2,232 on ski and
Katen [24]

First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.


44x + 58y = 2232


The second equation can come from the fact that 9 more skis were rented than snowboards.


y = x - 9


Therefore our system is:


44x + 58y = 2232

y = x - 9

3 0
4 years ago
The time t, in seconds, taken by an object dropped from a height of s meters to reach the ground is given by the formula t = squ
mariarad [96]
Hope this helps you.

6 0
3 years ago
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