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3 years ago

Problem 7.

Mathematics

1 answer:

baherus [9]3 years ago

4 0

Answer:

A + C = 111.7° +68.3° = 180°

B + D = 45.6° +134.4° = 180°

Step-by-step explanation:

Apparently, we're to add opposite angles. Your basic math skills (or your calculator) will show you their sum is 180°.

A + C = 111.7° +68.3° = 180°

B + D = 45.6° +134.4° = 180°

_____

The relationship between an arc and the inscribed angle intercepting it is that the measure of the angle is half the measure of the arc.

Opposite angles of an inscribed quadrilateral intercept the same two points on the circle. The long arc and the short arc together make the whole circle, so the sum of the two angle measures will be half the measure of the whole circle:

360°/2 = 180°

For example, Angle A intercepts long arc BCD, so is half its measure:

∠A = (1/2)BCD

Its opposite, Angle C, intercepts short arc BD, so is half its measure:

∠C = (1/2)BD

The sum of the two angles is then ...

∠A +∠C = (1/2)BCD + (1/2)BD

= (1/2)(BCD +BD)

= (1/2)360°

= 180°

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Alja [10]

Answer:

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Step-by-step explanation:

Let us revise some special angles

A pair of complementary angles is two angles their sum is 90°

A pair of supplementary angles is two angles their sum is 180°

In the question

∵ One angle of the pair of complementary angle = 30°

∵ The sum of the two complementary angles = 90°

→ Subtract 30° from 90° to find the other angle

∴ The other angle = 90° - 30° = 60°

∴ The other angle is 60°

To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form

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→ Divide both sides by 10

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→ Divide both sides by 3

∴ Their ratio = 1 : 2

∴ Their ratio is 1 : 2

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sashaice [31]

Answer:

Step-by-step explanation:

$\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx$

this can be done by substitute lnx = u

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Step-by-step explanation:

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