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3 years ago

Which angles are supplementary to 1 ( Select all that apply)?

Mathematics

2 answers:

bagirrra123 [75]3 years ago

7 0

<h3>2 Answers: Angle 4 and angle 2</h3>

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Explanation:

Supplementary angles add to 180 degrees. Visually, supplementary angles can be glued together to form a straight angle or a straight line.

We see that happens with angles 1 and 4, and this also happens with angles 1 and 2. This is why these two angles make up the answer.

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The other answer choices can be ruled out.

Angles 1 and 9 would be congruent if we knew the shallow sloping lines were parallel. The only time angles 1 and 9 are supplementary is if both are 90 degrees. In any other case, they are not supplementary angles.

Angles 1 and 12 are same side exterior angles. They would be supplementary if the shallow sloping lines were parallel. However, if you extend out each line, you'll see that they eventually intersect. Parallel lines never intersect.

vova2212 [387]3 years ago

3 0

There are two answers to this question and it is 4 and 2

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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

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2 years ago

Identify the coefficient of 2×y3

Gennadij [26K]

The coefficient of $2y^{3}$ is 2.

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You have used the symbol for "times." If you mean x (the variable), the answer is still the same. The coefficent of $2xy^{3}$ is still 2.

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3 years ago