Mr Morris earns $3500 per month. He deposits 2/7 of his salary every month. How much money will he deposit in 5 month.

Answer:

You can find the CORRESPONDING parts of two congruent triangles by aligning them perfectly on top of each other.

Step-by-step explanation:

We know that when two congruent triangles are placed over each other then the congruent sides corresponding to both the triangles also align on each other.

Since, when two triangles are congruent then all corresponding angles and sides  of the two triangles are also congruent.

             Hence, the answer is:

                   Option: C

             C.  corresponding

You can find the C. corresponding parts of two congruent triangles by aligning them perfectly on top of each other.

How is this true for triangles ?

Corresponding parts of two congruenttriangles are the parts that have the same relative position. For example, the corresponding parts of triangle ABC and triangle DEF are AB and  DE , ∠A and ∠D, and ∠B and ∠E.

If two triangles are congruent, then their corresponding parts are congruent. This means that if we align two congruent triangles perfectly on top of each other, then the corresponding parts will coincide.

In conclusion, option C is correct.

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The solution is, Actual distance between point C and D is 900m.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The distance between City A and City B is 500 miles.

A length of 1.9 feet represents this distance on a certain wall map.

City C and City D are 3.42 feet apart on this map.

Let, x  be the actual distance between point C and D

Using ratio method,

1.9 : 500

3.42 : x

Now, we get,

1.9/500= 3.42/x

i.e. 3.42/x = 0.0038

or, x = 3.42/ 0.0038

or, x = 900

so, we get,

x=900

Actual distance between point C and D is 900m.

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Answer:2.66 ft

Step-by-step explanation:

250/1.9=.0076

.0076×350=2.66ft

B. P(win | regular) = 0.84

    P(win | prevent) = 0.70

    Conclusions : You are more likely to win by playing regular defence.

What is probability ?

The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.

What is the conclusion of the problem ?

The number of outcomes of winning by regular defence is 42 out of 50.

∴ P(win | regular) = 42/50 = 0.84

The number of outcomes of winning by prevent defence is 35 out of 50.

∴ P(win | prevent) = 35/50 = 0.70

Conclusion : You are more likely to win by playing regular defence.

Hence the option B is correct.

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Answer: B

Step-by-step explanation:

The probability of winning when playing regular defense is 42 over the total 50.  

42/50 = 0.84

The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.

35/50 =  0.70  

0.84 is greater than 0.70 so your more likely to win playing regular defense.

The volume of Box B is 864m^3, when the volume of box A is 32 cubic meters and the volume of box B is three times the volume of box A.

We have given that,

Box A has a volume of 32 cubic meters.

Box B is similar to box A.

To create Box B, Box A's dimensions were tripled.

We have to determine the volume of Box B.

What is the ratio?

Ratio is the analytical tool that helps in determining the proportion of one variable over the another. It helps in taking decisions such as business decisions, construction decision, and many more.

Computation:

ratio =side of B/side if k is the ratio =sideof B/side of A=3

The area is multiplied by:

k²=9Volume by k^3=27

Or

27*32=864 (m^3)

The volume of Box B is 864m^3, when the dimension of box B is triple the dimension of box A.

Therefore, option A. is correct.

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