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Likurg_2 [28]
3 years ago
5

Name the property that is illustrated in each equation

Mathematics
1 answer:
gladu [14]3 years ago
6 0
The associative property says that if we're adding a bunch of numbers together, the parentheses do not affect the order in which we add. that means:
a + (b + c) is the same as (a + b) + c
therefore:
h + (y + 4.1) = (h + y) + 4.1
this is illustrating that property, specifically in regards to addition. so the answer is the associative property of addition.

the commutative property, on the other hand, states that order itself doesn't affect the answer when we're adding a bunch of numbers together. this means that:
a + b + c = c + b + a = a + c + b and so on and so forth.
so when we have the following equation:
t * 1.5 = 1.5 * t
this is demonstrating the commutative property of multiplication.

s * p = p * s
guess what! this is really the same question as before. all we're doing is flipping the two numbers(variables) around, showing that order does not matter. thus, the answer is yet again the commutative property of multiplication.

(0 + z) + 8 = (z + 0) + 8
this one might look like the associative property, but the associative property involves moving the parentheses around or getting rid of them altogether to show that the parentheses don't matter to the final answer. In this one, all that is happening is the 0 and z are being flipped inside the parentheses, illustrating the commutative property of addition.
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Jenna drew irregular quadrilateral ABCD inscribed in circle P. She knows that: m∠3=2⋅m∠1, and m∠2=2⋅m∠4, and m∠2+m∠3=360°. What
Mrrafil [7]

Answer:

The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

Step-by-step explanation:

We are given the following from what she knows

m∠3=2⋅m∠1... 1

m∠2=2⋅m∠4 ... 2

m∠2+m∠3=360 ... 3

From what is given, we can substitute equation 1 and 2 into equation 3 as shown:

From 3:

m∠2+m∠3=360

Substituting 1 and 2 we will have:

2⋅m∠4 + 2⋅m∠1 = 360

Factor out 2 from the left hand side of the equation

2(m∠4+m∠1) = 360

Divide both sides by 2

2(m∠4+m∠1)/2 = 360/2

m∠4+m∠1 = 180°

Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

7 0
3 years ago
I need help with this real quick
Leni [432]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by
katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

<u>For bulb </u><u>box</u><u> </u><u>the </u><u>d</u><u>imensions</u><u> </u><u>are:</u>

  • l = 5 cm, w = 4 cm, h = 4 cm

  • V_{Bulb\: box} =lwh

  • \implies V_{Bulb\: box} =5(4)(4)

  • \implies V_{Bulb\: box} =80\: cm^3

<u>For </u><u>Carton </u><u>the dimensions are</u><u>:</u>

  • l = 50 cm, w = 20 cm, h = 20 cm

  • V_{Carton} =lwh

  • \implies V_{Carton} =50(20)(20)

  • \implies V_{Bulb\: box} =20,000\: cm^3

To find the number of bulbs packed in the carton, divide the V_{Carton} by V_{Bulb\: box}

  • Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}

  • \implies Number \:of \:bulbs =\frac{20,000}{80}

  • \implies Number \:of \:bulbs = 250

So, 250 bulbs will be packed in one carton.

3 0
2 years ago
What time between 6pm and 6:30 pm the hour and minutes hands be exactly 125* degree apart
vladimir2022 [97]

Answer:

6:10pm

Step-by-step explanation:

At 6:00 the hands are 180° apart.

The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.

The minute hand moves 1/60 of the circle per minute = 6° per minute

Angle between the hands decreases by 6-0.5 = 5.5° per minute.

180 - 5.5t = 125

t = 125/5.5 = 10 minutes

The hands are 125° apart at t minutes after 6:00, or 6:10.

4 0
2 years ago
FIRST ANSWER GETS BRAINLIEST ANSWER :
algol [13]
Restaurant D offered the best deal at $13.05 per 9 shrimp because it you but 18 it will only cost you 26.15 but if you buy from restaurant A you only get 16 shrimp for 26.40 so I'd say go wit restaurant D
3 0
3 years ago
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