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3 years ago

The measure of an angle is 106°. what is the measure of a supplementary angle?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

180-106 is your answer

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Given b(x) = |x+4], what is b(-10)? -10 -6 8 14

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Answer:

b(-10) = 6

Step-by-step explanation:

Step 1: Define

b(x) = |x + 4|

b(-10) is x = -10

Step 2: Substitute and Evaluate

b(-10) = |-10 + 4|

b(-10) = |-6|

b(-10) = 6

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The width of a rectangle is 5 units less than the length. The area of the rectangle is 6 units. What is the width, in units, of

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Answer:

The width of rectangle is 1 unit.

Step-by-step explanation:

Given:

The area of rectangle is 6 units and its width is 5 units less than the length.

So, to find the width of rectangle.

Let the length be $x$ and the width be $x-5$ .

Now, to find the width we put the formula of area of rectangle:

Area = length × width

$6= x\times (x-5)$

$6=x^{2}-5x$

$0=x^{2}-5x-6$

$0=x^{2}-6x+x-6$

$0=x(x-6)+1(x-6)$

$0=(x-6)(x+1)$

On solving equation we get:

$x-6=0, x+1=0$

Therefore, we take the value x=6 as it is positive value:

$x-6=0$

$x=6$

So, the width of rectangle:

Width = $x-5$

= $6-5$

= $1$

Therefore, the width of rectangle is 1 unit.

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