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3 years ago

In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA?

Mathematics

2 answers:

insens350 [35]3 years ago

7 0

Answer:

The additional information to show ΔABC ≅ ΔDEF by ASA is $\overline {AB}$ ≅ $\overline {DE}$

Step-by-step explanation:

The given parameters in the figure are;

Angle m∠BAC is congruent to angle m∠FDE

Angle m∠ABC is congruent to angle m∠FED

Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;

The additional information to show ΔABC ≅ ΔDEF by ASA is $\overline {AB}$ is congruent to $\overline {DE}$ which can be written as $\overline {AB}$ ≅ $\overline {DE}$ .

zhenek [66]3 years ago

6 0

Answer:

~

AB = CD

Step-by-step explanation:

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Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant $b^2-4ac$ applies to quadratic equations when they are organised in standard form: $ax^2+bx+c=0$ .

All quadratic equations can be solved with the quadratic formula: $x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}$ .

When $b^2-4ac$ is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

$3x^2+5x=-1$

We're given the above equation. It hasn't been organised completely in $ax^2+bx+c=0$ , but we can change that by adding 1 to both sides to make the right side equal to 0:

$3x^2+5x+1=0$

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

$D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13$

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

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3 years ago

Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model

alexira [117]

The formula for exponential decay is
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4 years ago

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umka21 [38]

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Step-by-step explanation:

The line y=2 is solid and shaded above, so it represents $y \geq 2$ .

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2 years ago

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kifflom [539]

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Answer:

y = 5x -2

Step-by-step explanation:

The slope is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

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3 years ago

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Sever21 [200]

Answer:

d: x less than -12

Step-by-step explanation:

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