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4 years ago

What is the difference of 1,289 and 943?

1 answer:

8 0

1289 -
943

First last number should be subtracted.
9 - 3 = 6

The second last
8 - 4 = 4

Then first number
2-9 = ?
Since it can't be divided, we have to borrow 10 from the previous number.
12-9 = 3

So the answer is,
346

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2 years ago

A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as

LuckyWell [14K]

The value of x when the triangle and the parallelogram have the same area is 6 units

<h3>The dimensions</h3>

The dimension of the parallelogram is given as:

Height = x
Base = 4 + x

The dimension of the triangle is given as:

Height = x
Base = 20

<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

$Area = x (4 + x)$

The area of the triangle is calculated as:

$Area = 0.5 \times 20 \times x$

$Area = 10x$

Both areas are equal.

So, we have:

$x(4 + x) = 10x$

Divide both sides by x

$4 + x = 10$

Subtract 4 from both sides

$x =6$

Hence, the value of x is 6 units

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2 years ago

In the following figure CB is perpendicular to AB, and CD bisects angle ACB. Find angle DBF

zaharov [31]

Measure angle ACD = 3x - 2
measure angle BCD = 5x - 20
measure angle ACD = measure angle BCD
3x - 2 = 5x - 20
-2 = 2x - 20
18 = 2x
9 = x
x = 9
measure angle BCD = 5x - 20
measure angle BCD = 5(9) - 20
measure angle BCD = 45 - 20
measure angle BCD = 25
measure angle CDA = 90
measure angle BDC = measure angle CDA
measure angle BDC = 90
measure angle DBF = measure angle BCD + measure angle BDC
measure angle DBF = 25 + 90
measure angle DBF = 115

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4 years ago

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