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deff fn [24]
3 years ago
5

In the figure below, AMNO

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Given:

\Delta MNO\cong \Delta PQR

To find:

The length of QR.

Solution:

We have,

\Delta MNO\cong \Delta PQR

Then, MN=PQ                 (CPCTC)

10=4x-2

10+2=4x

12=4x

Divide both sides by 4.

\dfrac{12}{4}=x

3=x

Similarity,

MO=PR            (CPCTC)

2y+3=21

2y=21-3

2y=18

Divide both sides by 2.

y=9

Now,

x+y=3+9

x+y=12

Therefore, the correct option is d.

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Divide the fractions by dividing the numerators.
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3/5

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eimsori [14]

Answer:

EBC and CBF are supplementary.

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6 0
3 years ago
Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that w
Bogdan [553]

Answer: hello your question has some missing data below is the missing data

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean

answer : Doug should choose the Central route

Step-by-step explanation:

Number of Available routes = 3

<u>Northern route</u> ; Total distance covered =  2000 miles

<u>Central route </u>: Total distance between Virginia and California = 2818.5 miles

percentage of success = 10 / 19 * 100 = 52.63 %

Mean distance covered = 2818.5 * 52.63% = 1483.38 miles

<u>southern route  </u>

Distance to be covered = 2,548 miles

number of attempts = 32

percentage of success = 1 = ( 1 / 32) * 100 = 3.12%

median distance covered by 30 riders = 1300 + ( 400 / 30 ) = 1313.33

<em>Conclusion :</em>

<em>Doug should choose </em><em>central route because it </em><em> has the highest percentage of success and longest distance covered  ( i.e. closest to 3000 miles ) and it is also coast to coast </em>

8 0
3 years ago
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