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Natasha_Volkova [10]
3 years ago
8

Tayler has $320$320 to pay for dining room chairs. She expects to pay about $80$80 per chair. Her friend told her that she has 3

3 that Taylor can have for free. Complete the equation below to find the total number of chairs that Taylor can get for her dining room. Use cc to represent the total chairs.
Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0
Tayler money ................... 320$

Estimated cost per chair....80$

Friend's chairs..................3

Total chairs..........> cc

cc = 320$/80$ +3

cc = 4 + 3 = 7 chairs
Degger [83]3 years ago
7 0

Answer:

Hence, the total number of chairs that Taylor can get for her dining room is:

37 chairs.

Step-by-step explanation:

Taylor has $320 to pay for dining room chairs.

She expects to pay about $80 per chair.

Her friend told her that she has 33 that Taylor can have for free.

Let 'c' represent the total chairs.

Let she buys 'x' chairs for price.

i.e. 80x=320

dividing both side by 80 we get:

x=4.

Hence, she buys 4 chair for $ 80 each.

Also,

Total number of chair she will have for dining room is:

c=4+33=37

( Since she get 33 chairs for free)

Hence, the total number of chairs that Taylor can get for her dining room is:

37 chairs.

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✔️2 sets of corresponding angles

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Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

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DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

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✔️2 sets of corresponding sides

DR and SL

RM and LT

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Factor these expressions into an equivalent form.
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Please help me to solve all the questions would appreciate it if its with full working
Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

<h3>What is ∠LKJ?</h3>

Recall that in angles in parallel lines:

  • Corresponding Angles are always congruent,  
  • Alternate Angles are always congruent, and
  • Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

<h3>What is ∠ALM?</h3>

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

  1. Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

4 0
2 years ago
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