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3 years ago

Consecutive interior angles are...

Mathematics

1 answer:

umka2103 [35]3 years ago

3 0

Answer:

Consecutive interior angles will be supplementary

Step-by-step explanation:

As we know that a transversal line is a straight line which tends to intersect two or more parallel lines.

Consecutive interior angles are interior angles that are on the same side of the transversal line. Their sum is 180°.

Hence, Consecutive interior angles will be supplementary

For example, let ∠A and ∠B be the two consecutive interior angles.

As the sum of Consecutive interior angles is 180°, hence they are supplementary.

so the equation becomes

∠A + ∠B = 180°

Let suppose <A and <B are both consecutive interior angles.

Let ∠A is 110°, and we have to determine ∠B.

As the sum of Consecutive interior angles is 180°,

110° + ∠B = 180°

∠B = 180° - 110°

= 70°

so 70° + 110° = 180°

Therefore, Consecutive interior angles will be supplementary

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Paladinen [302]

Answer:

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Step-by-step explanation:

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3 years ago

When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin

7nadin3 [17]

Answer:

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$

or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

Step-by-step explanation:

To express the Fahrenheit temperature as a linear function of the Celsius temperature, F(c), we can proceed as follows.

We can use here the two-point form equation of a line:

$\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$ [1]

We are asked to express the Fahrenheit temperature as a function of Celsius temperature, so the independent variable, in this case, is x (Celsius temperature) and the dependent variable is y (Fahrenheit temperature).

When temperature is zero degree Celsius ( $\\x_1 = 0$ ), the Fahrenheit temperature is 32 ( $\\y_1 = 32$ ).

When the Celsius temperature is 100 ( $\\x_2 = 100$ ), the corresponding Fahrenheit temperature is 212 ( $\\y_2 = 212$ ).

Then, using [1], we have:

$\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)$

$\\ y-32 = \frac{180}{100}(x)$

$\\ y-32 = 1.8(x)$ .

It could be also be written as:

$\\ y-32 = \frac{18}{10}(x)$ = $\\ y-32 = \frac{9}{5}(x)$ , as it commonly appears in books.

Then the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c) is ( solving the equation for y ) :

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$ .

Or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(0) + 32$ = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(100) + 32 = 180 + 32$ = 212 Fahrenheit degrees.

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4 years ago

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mixer [17]

Grandma has 7 red roses

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4 years ago

Find the solution of given expression !! <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B36%20%5Ctimes%204%7D%20" id="TexF

Law Incorporation [45]

$\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}$

Let's Solve :

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Therefore, the correct answer is 12

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

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barxatty [35]

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4 years ago