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Elanso [62]
3 years ago
11

I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!

Mathematics
2 answers:
Serga [27]3 years ago
6 0

let the numbers be x and y

x + y = 1600 ----*

12%x = 20%y

0.12x = 0.2y

y = <u>0</u><u>.</u><u>1</u><u>2</u><u>x</u>

0.2

y = 0.6x

substitute in * eqn

x + 0.6x = 1600

1.6x = 1600

x = 1000

then,

y = 0.6*1000

y = 600

the numbers are 1000 and 600

ra1l [238]3 years ago
3 0

\:\:\:\huge\mathbb\colorbox{black}{\color{white}{AnSwEr}}

Let the first number = x

then second number = 1600 - x

According to the condition in the question, we get

The explanation is in the attachment.

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A. 34°

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<u>Trigonometry</u>

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Step-by-step explanation:

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<em>Identify variables</em>

Angle θ = <em>x</em>

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<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Tangent]:                                                                    \displaystyle tanx^\circ = \frac{24}{35}
  2. Inverse Trig [Tangent]:                                                                                     \displaystyle x^\circ = tan^{-1}(\frac{24}{35})
  3. Evaluate:                                                                                                           \displaystyle x = 34.439^\circ
  4. Round:                                                                                                               \displaystyle x \approx 34^\circ
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A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
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The cyclic quadrilateral's opposing angles are 180 degrees, which become supplementary angles.

<h3>What is a cyclic quadrilateral?</h3>

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

More about the cyclic quadrilateral link is given below.

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