The solution of |x - 5| = 12 is -7 or 17. True or false?

Mathematics

2 answers:

professor190 [17]3 years ago

7 0

The answer is True. Hope this helps!! Have a great day!

7nadin3 [17]3 years ago

4 0

Answer:

TRUE

Step-by-step explanation:

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JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n

Sladkaya [172]

3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees.

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = $\sqrt{27}$

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/ $\sqrt{27}$
$\sqrt{27}$ Tan(31) = MJ
3.122 = MJ

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he length, l , of a rectangle is 80% of its width, w . Write an equation that represents the length of the rectangle if its widt

Minchanka [31]

In this item, we are given that the length of the rectangle is equal to 80% of its width and that its width is equal to 95 inches. The length can be calculated by multiplying the decimal equivalent of the given percentage and the width. That is,
l = 0.8w

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l = 0.8(95 inches) = 76 inches

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oksano4ka [1.4K]

Answer:

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Step-by-step explanation:

Diameter is the chord passing through the centre of the circle. It is the longest of all the chords of a circle. Semicircle refers to half circle. It is to be noted that semicircle has its base on the circle's diameter.

As we know that the angle measure of the diameter is 180 degrees (since diameter is also a straight line whose angle equals 180 degrees )

Similarly, the degree measure of the semicircle is half of the complete circle i.e. 360/2= 180 degrees.

Thus, angle subtended by the diameter is same as that of the angle made by the semicircle.

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What is the percent of increase?

irina1246 [14]

To find the answer, find the difference which is 30.

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