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Levart [38]
3 years ago
6

Given: AD = BC and AD || BC

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

<u><em>Proof:</em></u>

<u><em>Statements  </em></u>                                  |  <u><em>Reasons</em></u>

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                       | congruent, the quad. is a parallelogram.

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Help with math pls cant figure it out
tatyana61 [14]

Answer:

\frac{5}{4}+or-\frac{3i\sqrt{7} }{4}

Step-by-step explanation:

You can solve this equation with the quadratic formula which is:

m_{1,2}=\frac{-b+or-\sqrt{b^{2}-4ac } }{2a}

All you need to do is rearrange the equation (add -\frac{11}{2} to both sides and then multiply both sides by 2) to get:

2m^2-5m+11=0

From this new equation, we can easily see that a = 2, b = -5, and c = 11 AND you don't have to work with as many fractions. Substitute the values for a, b, and c into the quadratic formula to get:

m_{1,2}=\frac{5+or-\sqrt{(-5)^{2}-4(2)(11) } }{2(2)}

That simplifies to:

\frac{5}{4}+or-\frac{\sqrt{25-88} }{4}

Which simplifies even further to:

\frac{5}{4}+or-\frac{\sqrt{-63} }{4}

Which gets you:

\frac{5}{4}+or-\frac{3i\sqrt{7} }{4}

P.S. The plus-minus sign wasn't working for me, so I had to just write, "+or-". I hope that didn't make it too confusing for you.

P.P.S. Hope this helps :) Don't forget to mark Brainliest if it did.

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2 years ago
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3 years ago
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On a road trip to visit her grandparents,
gavmur [86]

Answer:

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Step-by-step explanation:

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2 years ago
What does x represent in the equation is -2(bx-5)=16 if b is 3
uranmaximum [27]

Answer:

x = - 1

Step-by-step explanation:

Given

- 2(bx - 5) = 16 ← substitute b = 3

- 2(3x - 5) = 16 ( divide both sides by - 2 )

3x - 5 = - 8 ( add 5 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

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3 years ago
The price of a stock had a change of –3 dollars. explain how you would use a number line to find the absolute value of –3.
Naya [18.7K]
Draw out a horizontal line. Place 0 at the center. Then place evenly spaced tick marks on either side of 0. Label the right side of tick marks as 1, 2, 3, ... moving from 0 and going to the right

Label the left side of tick marks -1, -2, -3, ... starting at 0 and moving left

The location -3 on the number line is exactly 3 units away from 0. We start at 0 and move to -3 by moving 3 spots to the left; or we start at -3 and move 3 units to the right to get to 0.

Therefore, the absolute value of -3 is 3
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2 years ago
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