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Nat2105 [25]
2 years ago
6

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 =

180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Mathematics
1 answer:
DanielleElmas [232]2 years ago
8 0

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:

brainly.com/question/7696843

#SPJ1

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7/25

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Step-by-step explanation:

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9. What is the coefficient of y^2? in the expansion of (x + y)^2??
klemol [59]

Answer:

The coefficient of y² will be 1, which we can see when we expand the expression:

(x + y)²

= (x +y)(x + y)

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3 0
3 years ago
Angle A and Angle B are supplementary angles. If angles A = 65, find the m Angle B.
WARRIOR [948]

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B = 115

Step-by-step explanation:

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3 years ago
Which fraction is equivalent to 7/12
Drupady [299]

The value of any number multiplied by 1 stays exactly the same, right? Well, as it turns out, 1 can be written as the fraction 7/7, or the fraction 8/8, or 9/9, 10/10, 11/11... I could go on and on to infinity, but there's a pattern there. 1 simply means "1 whole," or "all of it." "All of it" looks different in different denominators, but the core idea is the same: if we split something into n pieces, "all of it" means we have all n of those pieces. The numerator and denominator will always been the same, no matter how we want to represent 1.

What does this have to do with our problem? Well, we don't want to change the <em>value </em>of our fraction, we just want to change its <em>label</em>. So what we're going to do is multiply it by 1, but we're going to make sure to pick the right <em>label</em> for that 1.

7/12 x 1 = 7/12. This will be true no matter what. Let's see which of these options actually fit the bill:

\dfrac{14}{28}

Can we get this fraction by multiplying 7/12 from some form of 1? Well, 14 = 7 x 2, so let's see what we get if we pick the form 1 = 2/2:

\dfrac{7}{12} \times\dfrac{2}{2}=\dfrac{14}{24}\neq\dfrac{14}{28}

Nope, not quite. 14/28 is <em>not </em>equivalent to 7/12.

What about 21/36? 21 = 7 x 3, so let's give the form 1 = 3/3 a shot:

\dfrac{7}{12}\times\dfrac{3}{3}=\dfrac{21}{36}

There we go! All we did there was <em>relabel </em>7/12 by multiplying by form of 1. Since we never changed its value, we can stop our search here and conclude that 21/36 is equivalent to 7/12.

7 0
3 years ago
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