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irina [24]
3 years ago
10

If a diagonal is drawn in a parallelogram, then two congruent triangles are... formed

Mathematics
2 answers:
mixer [17]3 years ago
7 0

Answer:

Always

Step-by-step explanation:

Vsevolod [243]3 years ago
3 0
Correct.  Two congruent triangles are formed.
The two triangles are congruent because
1. diagonal = common side between two triangles
2. Considering the diagonal as a transversal that cuts the two pairs of parallel lines, we have two sets of internal alternate angles.
BY the rule of ASA, the two triangles are congruent.
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Answer:

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Ket [755]

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

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= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

{x}^{2}  +  {y}^{2}  =  {50}^{2}

{x}^{2}  +  { ( - 0.966x + 56)}^{2}  =  {50}^{2}

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

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Therefore;

When x = 6.67, we have;

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When x = 49.29, we have;

  • y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>

  • The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

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hope it helps</span>
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Step-by-step explanation:

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