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USPshnik [31]
3 years ago
15

What is the value of K?

Mathematics
1 answer:
kaheart [24]3 years ago
8 0

Answer:

k =10

Step-by-step explanation:

(4k +  5) + (6k + 10) = 115      {exterior angle of a triangle is equal to the sum of opposite interior angles}

10k +15   = 115

         10k = 115 - 15 =100

              k = 100/10 = 10

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Answer:

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Step-by-step explanation:

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3 years ago
What is 1,227 divided by 4?
Andreyy89
Your answer is 306.75

1227÷4=306.75
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8 0
3 years ago
Please do not send links you will be reported and removed. What is this answer in feet please
Yuri [45]

Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

3 0
3 years ago
the greater of two numbers is 1 less than 4 times the lesser. three times the lesser number is 4 less than the greater. find the
Komok [63]
<h2>Steps:</h2>

So for this, we will be doing a system of equations. Using the info from our question, our two equations are:

(let x = greater number and y = lesser number)

x=4y-1\\3y=x-4

Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:

3y=4y-1-4

From here we can solve for y. Firstly, combine like terms:

3y=4y-5

Next, subtract 4y on both sides of the equation:

-y=-5

Next, multiply both sides by -1:

y=5

Now that we know the value of y, substitute it into either equation to solve for x:

x=4(5)-1\\x=20-1\\x=19\\\\3(5)=x-4\\15=x-4\\19=x

<h2>Answer:</h2>

In short, <u>5 is the lesser number and 19 is the greater number.</u>

4 0
4 years ago
Delia is bagging 24 onion bagels and 16 plain bagels for her bakery customers. Each bag will hold only 1 type of bagel. Each bag
Mnenie [13.5K]
<h2>Answer:</h2><h2>8 bagels in each bag, 3 bags of onion, 2 bags of plain</h2>

24 onion bagel

16 normal bagel

We need the GCF (Greatest Common Factor) of 16 and 24 to find the answer.

Factors of 16 = 1, 2, 4, 8, 16

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

What is the GCF? It is 8.

Hence, 8 bagels in each bag.

24/8 = 3 bags of onion bagels

and

16/8 = 2 bags of plain bagels

3 0
2 years ago
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