How to find the missing length?

Mathematics

2 answers:

alexira [117]2 years ago

5 0

I think it has to do with complimentary angles

Nata [24]2 years ago

3 0

To find the missing length you must break this shape into two other shapes. A square, and a right triangle. To do this you take the top value and subtract the bottom. 8-5=3. So one value of the triangle is 3, and the side is 5 since it is parallel and equal to the sides of the square. To find the missing value, you will use the formula "a^2+b^2=c^2." Side A will be our side value of 5. 5x5=25. Side B will be the value of 3. 3x3=9. 25+9=34. And now we find the square root of 34. This is 5.830951895.

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The product of a number and 7, decreased by the number is equal to 42. Find the number.

evablogger [386]

$7$
this is the answer, its pretty simple. I'm not sure the mathematical procedures but if you plug in 7 you get 49. Then all you got to do is subtract by 7, because the question states the number is the same. So basically,
$7(7) - 7 = 42$

8 0

3 years ago

In circle O, what is m∠MAJ? °

mr_godi [17]

See the attached figure.

m ∠KAJ = 170° & m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ Opposite angles.

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°

So, the answer is : m ∠MAJ = 55°

4 0

2 years ago

What is the value of

Len [333]

$n-2=10n+42\qquad\text{add 2 to both sides}\\\\n=10n+44\qquad\text{subtract 10n from both sides}\\\\-9n=44\qquad\text{divide both sides by (-9)}\\\\\boxed{n=-\dfrac{44}{9}}$