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Schach [20]
3 years ago
15

What’s the value of y?

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Since BD and AE are parallel lines, then

∠BDC = ∠AED ( corresponding angles ), thus

4x - 5 = 97 - 2x ( add 2x to both sides )

6x - 5 = 97 ( add 5 to both sides )

6x = 102 ( divide both sides by 6 )

x = 17, hence

∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°

∠BDE and ∠AED are same side interior angles and are supplementary, thus

10y - 3 + 63 = 180

10y + 60 = 180 ( subtract 60 from both sides )

10y = 120 ( divide both sides by 10 )

y = 12 → D

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Answer:

The answer is in the included image

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2 years ago
Initially, there were equal amount of roses and tulips at a store. Each bouquet was made with 3 roses and 4 tulips. After the bo
egoroff_w [7]

Answer:

12 bouquets

Step-by-step explanation:

Let there be x number of roses and x number of tulips initially at the store.  Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.

If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.

After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:

x - 3y = 30                               Equation 1

x  - 4y = 18                                Equation 2

Subtracting Equation 2 from Equation 1, we get:

x - 3y - (x - 4y) = 30 - 18

x - 3y - x + 4y = 12

y = 12

Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.

5 0
3 years ago
Read 2 more answers
What is the common ratio for the geometric sequence?<br><br> 35/2, 7, 14/5, 28/25, ..…
LiRa [457]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Please help will do anything thank you
kifflom [539]

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   a_n=a+(n-1)d

   Here, T_n = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

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   Therefore, explicit formula for the given sequence will be,

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c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

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   y          2           5         8          11

   By using this data we can graph the line.    

7 0
3 years ago
A property was assessed at 25% of value with a tax rate of $12 per hundred. if the taxes totaled $11,400, what was the value? 1
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11400 ÷12 = 950 hundreds

95000 x 100/25 = $380,000 <== value of the property

4 0
2 years ago
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