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Vitek1552 [10]
2 years ago
12

In the figure shown, lines k and l are parallel.

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Amy's claim is correct because each pair of the angles are supplementary. That is, sum up to 180°

<h3>Calculating angles </h3>

From the question, we are to determine if Amy's claims are correct

From the given information,

Amy claims that

m∠4 + m∠5 = m∠10 + m∠9

In the diagram, we can observe that

m∠4 + m∠5 = 180°

This is because the pair of interior angles on the same side of the transversal are supplementary. That is, sum up to 180°

Also,

m∠10 + m∠9 = 180° (<em>Sum of angles on a straight line</em>)

Since each pair of angles are supplementary,

∴ m∠4 + m∠5 = m∠10 + m∠9

and

Hence, Amy's claim is correct

Learn more on Calculating angles here: brainly.com/question/24607467

#SPJ1

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What number exceeds 23 by 4 more than twice the amount by which 15 by -3
hodyreva [135]

Answer:

The required number is 63    

Step-by-step explanation :

Let the number be x

Now As per question , the equation is written as

     x - 23 = 2 × [ 15 - ( - 3) ] + 4

Or, x - 23 = 2 × ( 18) + 4

Or , x - 23 = 36 +4

Or,  x - 23 = 40

So, x = 40 + 23

∴    x = 63

Hence the required number is 63      Answer

6 0
3 years ago
56°<br> х<br> 20<br> Solve for x. Round to the nearest<br> tenth.
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Answer:

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Step-by-step explanation:

4 0
3 years ago
gerald spent $5.12 for a drink and a sandwich his drink cost $1.30 did he have a ham sandwich for $3.54 a tuna sandwich for $3.8
Korolek [52]
5.12-1.30= your answer
7 0
3 years ago
Read 2 more answers
According to the table, Tasha initially had blank dollars before purchasing songs, and the cost of each song was blank dollars
melomori [17]

Total money before purchasing = $30

Cost of each song = $1.20

Solution:

According to the table,

No. of songs    Amount

        2                 27.60

        3                 26.40

        4                 25.20

Difference between amount she have after bought 3 songs to 2 songs:

27.60 – 26.40 = 1.20

Difference between amount she have after bought 4 songs to 3 songs:

26.40 – 25.20 = 1.20

So, the cost of each song = $1.20

Amount of money she had after purchasing one song = $27.60 + $1.20

                                                                                          = $28.80

Tasha initially had before purchasing songs = $28.80 + $1.20

                                                                         = $30

Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.

5 0
3 years ago
A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood
Bad White [126]

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2                 Cross multiply

3y = 8                     Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10                   Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

8 0
3 years ago
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