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tankabanditka [31]
3 years ago
12

Start with the following statement: Vertical angles are congruent. a.State the conditional and three other forms of the statemen

t. b.If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.
Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
There are three kinds of statement that we could construct base on the given where as Vertical angels are congruent. First is converse: If angle 1 is 90 degree then angle 2 is 90. Second is Inverse: If angle 2 is not 90 then angle 1 is not. Third is Contrapositive: If angle 2 is not 90 then angle 1 is not 90 also.
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A pack of pencils contains 20 pencils. If Trish uses 3/4 of the pack, how many pencils will she use?
Sergeu [11.5K]
20/4 = 5
5X3 = 15

C is your answer
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3 years ago
Which of the following statements is always true about similar polygons
Ganezh [65]
The correct answer is D. Since the polygons are /similar/ and not /congruent/, C is not necessarily true.

Hope this helps.
3 0
3 years ago
2(x + 4) − 1 = 2x + 7
Margarita [4]

Answer:

All real numbers are solutions to this problem.

Step-by-step explanation:

I) Simplify:

2(x + 4) - 1 = 2x + 7

x + 4 - 0.5 = x + 3.5 (Divide by 2)

x + 3.5 = x + 3.5 (Simplify <em>x + 4 - 0.5</em>)

x = x

II) Conclusion:

Any real number will work as a solution.

7 0
3 years ago
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There will be 3 white beads out of the first 8.
8 0
2 years ago
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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
Sergio [31]

Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

4 0
3 years ago
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