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Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

Answer: 1763

Step-by-step explanation:

Split this shape into three spaces, to where there are two square-like shapes above one rectangular shape. Next you will find the area of all three separate shapes and add them up to get your total area.

23m times 12m = 276,

31m - 12m = 19m, (Here, we are taking the amounts we know of our rectangular shape to get the formula L times W used for determining this shape's area. We use the length of one of the squares(12m) subtracted by the length of both the rectangular shape and one of the squares.(31m) What we get is the lone value of L.

69m times 19m = 1311.

Add 276 + 276 + 1211. Answer = 1763.

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Step-by-step explanation:

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The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

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Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.