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2 years ago

After how many years are the salaries offered by Company A and Company B the same?

Mathematics

1 answer:

iren2701 [21]2 years ago

4 0

Answer:

Step-by-step explanation:

24,000 = 24 thousands

30,000 = 30 thousands

3,000 = 3 thousands

2,4000 = 2.4 thousands

"x" years

24 + 3x = 30 + 2.4x

3x - 2.4x = 30 - 24

0.6x = 6

x = <em>10 years</em>

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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

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The angle m∠CAD is 81°.

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2 years ago

Calculate the distance between the two given point T(6,-2),U(-2,-12)

slava [35]

Use the distance formula: $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

(6, -2), (-2, -12)
$\sqrt{(-2 - 6)^2 + (-12 - -2)^2}$ ⇒ $\sqrt{(-8)^2 + (-10)^2}$
$\sqrt{64 + 100}$ ⇒ $\sqrt{164}$
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The distance between points T and U is 12.8 units.

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2 years ago

Seven times the sum of a number and 4 equals 8.

Ksju [112]

Answer:

7*(n+4) =8

Step-by-step explanation:

seven times the sum

7*(

of an number and 4

7*( n+4)

equal 8

7*(n+4) =8

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skad [1K]

Answer:

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Step-by-step explanation:

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1 year ago

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