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natali 33 [55]
3 years ago
15

Which statement regarding the diagram is true?

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

m∠KML+m∠MLK=m∠JKM

Step-by-step explanation:

we know that

The sum of the interior angles of triangle must be equal to 180 degrees

m∠KML+m∠MLK+m∠MKL=180° -----> equation A

m∠JKM+m∠MKL=180° -----> by supplementary angles (form a linear pair)

m∠MKL=180°-m∠JKM ----> equation B

substitute equation B in equation A

m∠KML+m∠MLK+(180°-m∠JKM)=180°

m∠KML+m∠MLK=m∠JKM

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3 years ago
Help pls need answer asap
Varvara68 [4.7K]

Answer:

Carl traveled 281.25 km by bus and 1,618.75 km by plane.

Step-by-step explanation: v1 = 60 km/h average speed by bus to Toronto

v2 = 700 km/h average speed by plane to Winnipeg

d = 1,900 km the total distance traveled

t = 7 h total traveling time

t1 = the time of the travel by bug

t2 = the time of the travel by plane

t = t1 + t2 the total time

d1 = the distance traveled by bus

d2 = the distance traveled by plane

d = d1 + d2 the total distance

Since average speed = distance/time we have time = distance/avg.speed

t1 = d1/v1 that is t1 = d1/60

t2 = d2/v2 that is t2 = d2/700

Plug the above values into t1 + t2 = t.

We have the following system of equations:

d1/60 + d2/700 = 7

d1 + d2 = 1900

.......

Click here to see the step by step solution for 'd1' and 'd2'

.......

d1 = 281.25 km

d2 = 1,618.75 km

Carl traveled 281.25 km by bus and 1,618.75 km by plane.


7 0
2 years ago
A shopkeeper bought some eggs at ¢15 each. Six of them were broken while the rest were sold at ¢20 each. If he made a profit of
zvonat [6]
In the given problem it is already stated that the cost of each eggs is 15 cent. Out the total eggs bought 6 were broken. The rest of the eggs were sold for 20 cents each and the profit made was $4.80.
Cost of the 6 broken eggs = (6 * 0.15)
                                           = 0.9 cents
Let us assume that the number of eggs bought = x
Then we can write the equation as
0.2x - (0.15x - 0.9) = 4.80
0.2x - 0.15x + 0.9 = 4.80
0.05x = 4.80 - 0.9
0.05x = 3.9
x = 3.9/0.05
   = 78
So the number of eggs bought by him is 78
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There are 43 magic beans althogether

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Which graph has a coefficient correlation r closeest to -0.95
V125BC [204]
Graph b has a correlation closest to -0.95
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