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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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6 0
3 years ago
Read 2 more answers
Please let me know the correct answer.
NNADVOKAT [17]

Set h to 640 and solve for t:

640 = -490t^2 + 1120t

Subtract 640 from both sides:

-490t^2 + 1120t - 640 = 0

The formula to solve a quadratic equation is:

x = -b -/+ sqrtroot (b^2-4ac)/(2a) where a = -490, b = 1120 and c = -640

Solve:

x = -1120 -/+ sqrtroot (1120^2-4(-490)(-640) )/ 2(-490)

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4 0
3 years ago
(U2.04 LC)
Neko [114]

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

In ΔABC

m∠A = 10x+9

m∠B = 34°

m∠C = 97°

To Find:

x= ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180\\\\10x+9+34+97=180\\\therefore 10x=180-140=40\\\\\therefore x=\dfrac{40}{10}=4\\\\\therefore x=4

The value of x is 4.

6 0
3 years ago
a stack of 500 sheets of paper is 1.875 inches tall. Diego guess that each piece of paper and 0.015 inches thick. Explain how yo
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If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.

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8 0
3 years ago
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