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2 years ago

Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

Step-by-step explanation:

Statement, Reason

Triangle ACD is isosceles, Given

∠1 ≅ ∠3, Given

∠3 ≅ ∠4, Base angles of isosceles triangle

∠1 ≅ ∠4, Substitution

∠1 and ∠4, are alt int. ∠s, Definition

AB ║ CD, Have congruent alternate interior angles

If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

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Tresset [83]

Answer:

Step-by-step explanation:

It's the right triangle.

The formula of an area of a right triangle:

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Look at the picture.

We have

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Substitute:

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2 years ago

−2(2x+3)≤26 - 2 2 x + 3 ≤ 26 ?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

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Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

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1 year ago

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Valentin [98]

Put 9 in for b

N=9-4

N=5

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Step-by-step explanation:

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2 years ago

HELP ASAP PLZ

WARRIOR [948]

You can use the formula to solve for the y-values in the table. Insert the x-value into the equation: y = 2x - 2

(ex. y = 2(1)-2)

So..

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3 | 4

5 | 8

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10 | 18

[First time answering on Brainly so I accidentally commented the answer instead. Don’t know how to delete the comment but anyways, I hope my response helped you!]

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2 years ago