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2 years ago

Which biconditional is NOT a good definition?

Mathematics

2 answers:

Lady_Fox [76]2 years ago

8 0

The answer is D because and obtuse angle is 91 degrees or more

Vladimir79 [104]2 years ago

6 0

<h2>Answer:</h2>

Option: d is the correct answer.

d. An angle is obtuse if and only if its measure is greater than 180°

<h2>Step-by-step explanation:</h2>

<u>Acute angle--</u>

An angle is acute if and only if the measure of the angle is strictly less than 90 degree.

<u>Right angle--</u>

An angle is right angle if and only if the measure of the angle is exactly equal to 90 degree.

<u>Obtuse angle--</u>

An angle is said to be obtuse if and only if the measure of the angle is strictly greater than 90 degree and strictly less than 180 degree.

<u>Congruent angles--</u>

Two angles are said to be congruent if and only if both the angles have the same measure.

Hence, the biconditional which is NOT a good definition is:

Option: d

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

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2 years ago

Read 2 more answers

ABCD is a quadrilateral and a line through A parallel to BC meets DC at X. If angle D=angle C , prove that ADX is isosceles.

r-ruslan [8.4K]

Answer:

see picture below

Step-by-step explanation:

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1 year ago