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1 year ago

The sum of two numbers is 12. The difference of the two numbers is 22. Find the two numbers

Mathematics

1 answer:

valentina_108 [34]1 year ago

7 0

Answer:

-5 and 17

Step-by-step explanation:

The sum of two numbers (let's just say number a and number b) is 12.

a + b = 12

The difference between the same two numbers (still a and b) is 22.

b - a = 22

(Move variable a to the right side to get the following.)

b = 22 + a

(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)

a + (22 + a) = 12

a + a + 22 = 12

2a = -10

a = -5

a + b = 12

-5 + b = 12

b = 17

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Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

$\frac{4}{5}\:\times \:1\frac{2}{5}\:=y$

solving to determine the product value

$y=\:\frac{4}{5}\times \:\:1\frac{2}{5}$

$=\frac{4}{5}\times \frac{7}{5}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{4\times \:7}{5\times \:5}$

$=\frac{28}{5\times \:5}$

$=\frac{28}{25}$

As the value of the second factor is:

$1\frac{2}{5}=\frac{7}{5}=1.4$

And the product value is:

$y=\frac{28}{25}=1.12$

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.

4 0

2 years ago

Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".

slavikrds [6]

Here is your answer

$SSS$

REASON:

SSS congruency states that, if all the three sides of a triangle are respectively equal to the corresponding sides of another triangle then both triangles are said to be $congruent$ .

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7units=7 units

8units=8units

Middle side is common to both triangles so it is equal.

Hence, both triangles are congruent by SSS

HOPE IT IS USEFUL

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Step-by-step explanation:

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