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m_a_m_a [10]
3 years ago
8

Dylan is evaluating the expression 13+19+7+10. At one step in his work, Dylan rewrites the equation as 13+7+19+10. Which propert

y of addition must Dylan have used when he evaluated the expression?
Mathematics
2 answers:
stich3 [128]3 years ago
5 0

Answer:

commutative property of addition

Step-by-step explanation:

Dylan is evaluating the expression 13+19+7+10. At one step in his work, Dylan rewrites the equation as 13+7+19+10

13+19+7+10 = 13+7+19+10

commutative property of addition statest that

a + b = b+a

When the order of terms are changed in addition , it will change the value.

the value remains the same.

Dylan rewrites the expression by changing the order of terms

So its commutative property of addition

SOVA2 [1]3 years ago
4 0
He used the commutative property of addition.<span />
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Find the approximate length of EF.
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Answer:

The correct option is B

Step-by-step explanation:

Given information: ∠F=32°,∠D=54° and DF=18m.

According to the angle sum property of triangle, the sum interior angles of a triangle is 180°.

Using angle sum property, we get

\angle D+\angle E+\angle F=180^{\circ}

54^{\circ}+\angle E+32^{\circ}=180^{\circ}

\angle E+86^{\circ}=180^{\circ}

\angle E=180^{\circ}-86^{\circ}

\angle E=94^{\circ}

Law of sine:

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

Using law of sine we get

\frac{\sin D}{d}=\frac{\sin E}{e}

\frac{\sin D}{EF}=\frac{\sin E}{DF}

\frac{\sin 54^{\circ}}{EF}=\frac{\sin 94^{\circ}}{18}

\frac{0.809016994375}{EF}=\frac{0.99756405026}{18}

Cross multiply,

0.809016994375\times 18=0.99756405026\times EF

Divide both sides by 0.99756405026.

EF=14.5978655656

EF\approx 14.6

The value of EF is 14.6 m. Therefore the correct option is B.

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