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Kamila [148]
3 years ago
12

Michael: (a)(b)(c)

Mathematics
1 answer:
irinina [24]3 years ago
7 0

Answer:

Ladonna: a + c + b

Step-by-step explanation:

-The commutative property in addition states that the order of arrangement of the integers to be added has no effect on their sum such that:

x+y=y+x

-Since the alphabet follows the order a,b, c....

Only Ladonna rearranged to change this order to show the commutative property.

-Hence, Ladonna wrote the expression correctly.

*The commutative property should not be confused with the associative property.

-The latter allows you to change the order and terms within the closed parentheses while retaining the answer.

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ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC
Temka [501]
<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

\angle BCE=\beta \\ \\ \angle DCE=\theta

Every internal angle of any rectangle measures 90 degrees, so:

\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12

So:

\beta=4x-23=4(12)-23=25^{\circ}

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

\angle EBC=\beta

The sum of internal angles of any triangle add up to 180 degrees, so:

\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}

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Eugene wants to make some blankets to donate to a homeless shelter and is trying to figure out how much fleece fabric to buy. Ea
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How to slove cos 41=x/11
STALIN [3.7K]

41=x/11

x=41×11

= 451

so the answer is 451

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Daisy Hill has saved $5,000 for her first semester of college. She plans to
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Amount Daisy plans to spend on food is $625

Step-by-step explanation:

  • Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room

Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750

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Remaining amount = $5000 - $3750 = $1250

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Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625

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