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3 years ago

If two sides of a triangle are congruent, then the angles opposite those sides are _______ congruent.

Mathematics

1 answer:

madam [21]3 years ago

6 0

Answer:

Always

Step-by-step explanation:

Properties of an Isoceles Triangle

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Factor then solve.<br>1.81 - 4x²=0<br>2. 4s² + 9 = 12s

elena-14-01-66 [18.8K]

$1.\\81-4x^2=0\\\\9^2-(2x)^2=0\\\\(9-2x)(9+2x)=0\iff9-2x=0\ \vee\ 9+2x=0\\\\-2x=-9\ \vee\ 2x=-9\\\\x=4.5\ \vee\ x=-4.5$

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$2.\\4s^2+9=12s\\\\4s^2-12s+9=0\\\\(2s)^2-2\cdot2s\cdot3+3^2=0\\\\(2s-3)^2=0\\\\(2s-3)(2s-3)=0\iff2s-3=0\\\\2s=3\\\\s=1.5$

7 0

3 years ago

Read 2 more answers

F(x) = 3x + x3

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

3 years ago

PLS HELP!!!!!! 55 points!!!!!! Create an experiment about the probabilities associated with choosing a candidate for class presi

NemiM [27]

(How to find) Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.

(How to solve) Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal

(How to experiment) Experimental probability is the results of an experiment, let's say for the sake of an example marbles in a bag. Experimental probability would be drawing marbles out of the bag and recording the results. Theoretical probability is calculating the probability of it happening, not actually going out and experimenting.

(Example) The theoretical probability of an event occurring is an "expected" probability based upon knowledge of the situation. It is the number of favorable outcomes to the number of possible outcomes. Example: Find the probability of rolling a 6 on a fair die.

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3 years ago

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Name all the statements that correctly describe the effect of the rule

Maurinko [17]

The answer is C I’m pretty sure

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3 years ago

Sorry guys the highness of the % is 93 points so here you go thx for helping!!:}

agasfer [191]

Answer:

Thanks! But why report when the people can't see this question or even get the points since its from a while ago

step-by-step explanation:

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3 years ago