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amm1812
3 years ago
11

What is the value of x?

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
Let the 2 equal lengths be represented by 2p.  Then you can write the equation of ratios

  p       2p
---- = -------
16      x+4

which simplifies to 

  1        2
----- = ------
 16      x+4

then x+4 = 32, and x = 28 (answer)
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True [87]

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

\angle ONP\cong \angle MNL       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

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\angle NOP\cong \angle NML

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\Delta ONP\sim \Delta MNL        (AA postulate)

Therefore, the correct option is A.

8 0
3 years ago
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Which of the following equation is true ?
VLD [36.1K]
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3 years ago
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The distance to the nearest exit doir is no more than 150 feet. Use d to represent the distance in feet to the nearest exit door
il63 [147K]

Answer: d\leq150

Step-by-step explanation:

1. You have the following information given in the problem:

- The distance to the nearest exit door is no more than 150 feet.

-  d represents the distance to the nearest exit door, in feet.

2. Therefore, keeping the information above on mind, you know that the  distance to the nearest exit door (d) must be less than or equal to 150 feet, then, you can express this as following:

d\leq150

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3 years ago
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