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3 years ago

Please solve for X. Then, circle whether each angle pair is complementary or supplementary

Mathematics

1 answer:

Maurinko [17]3 years ago

4 0

Answer:

x=11 complementary

Step-by-step explanation:

We see from the square marking that both angles add up to be 90 degrees. Knowing this, we can do 90-43 so that we know the total measure of the top angle. Doing this, we know that the top angle equals 47. We can write this out as 5x-8=47, because they are the same thing. We add 8 to both sides, and get 5x=55. Now we divide both sides by 5 and get x=11. Now we have x, so let's decide if the angle pair is complementary or supplementary. Well, supplementary means the angles add up to be 180 degrees, and complementary means they add up to 90 degrees. We already said that the angle pair added up to 90 degrees, so the angle pair is complementary.

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3 years ago

Read 2 more answers

Maya is taking her friends to a concert. Each ticket costs $25, and souvenir T-shirts are $12 each. There is a $4 service fee fo

evablogger [386]

Answer:

$25x+12y+4 \leq 130$

Step-by-step explanation:

Here, x represents the number of tickets and y represents the number of T-shirts.

As per the statement:

Each ticket costs $25, and souvenir T-shirts are $12 each

⇒Total cost of ticket = 25x and Total cost for T-shirt = 12y

It is also given that there is a $4 service fee for the entire purchase.

$25x+12y+4$

Since, she has $130

⇒ $25x+12y+4 \leq 130$

Therefore, an inequality could you use to answer the problem is, $25x+12y+4 \leq 130$

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3 years ago

Ronald Dairo is helping the local indus-

nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

$a_1 = 5890\\a_2 = 7020\\a_3 = 8150$

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

$d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130$

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

$a_n = a_1+(n-1)d$

Putting the values

$a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n$

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

$a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580$