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madam [21]
3 years ago
13

Anyone know how to do this?

Mathematics
2 answers:
Elza [17]3 years ago
5 0
Yeyeyeyeyeyeyetettetetettetetetettetettetetete
Citrus2011 [14]3 years ago
3 0
<h3>Answer:  2 < x < 7</h3>

=======================================================

Explanation:

The 85 degree angle is smaller than the 90 degree angle (aka right angle). That must mean 5x-10 is smaller than 25

At the same time, 5x-10 must be larger than 0 to avoid having a 0 length or negative length.

So overall we can say 0 < 5x-10 < 25

-------------

Let's isolate x

0 < 5x-10 < 25

0+10 < 5x-10+10 < 25+10 ...... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 .... dividing all sides by 5

2 < x < 7

This says that x is between 2 and 7, but we cannot have x equal either endpoint.

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Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot.
stiks02 [169]

Answer:

Nolan correctly identified the square  numbers before and after 18.

The square roots of them are 4 and 5.

Clearly, square root of 18 should lie between 4 and 5 only.

He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.

Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.

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Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =
DanielleElmas [232]

Based on the triangle sum theorem, exterior angle theorem, the true statements are:

m∠5 + m∠6 = 180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>

According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.

Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.

∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.

In summary, the true statements about the diagram given are:

  • m∠5 + m∠6 = 180°
  • m∠2 + m∠3 = m∠6
  • m∠2 + m∠3 + m∠5 = 180°

Learn more about the triangle sum theorem on:

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