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olga55 [171]
2 years ago
13

Need help thanks???!!

Mathematics
1 answer:
solniwko [45]2 years ago
3 0

Answer:

x = 78 degrees

Step-by-step explanation:

Let y represent the last angle in the triangle containing 79 degrees and x degrees.

Since the top and bottom lines are parallel, then angle y and angle 23 are alternate angles. Alternate angles are equal. Therefore,

Angle y = 23 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle x + angle y + 79 degrees = 180 degrees. Therefore

x + 23 + 79 = 180

x + 102 = 180

Subtracting 102 from the left hand side of the equation and the right hand side of the equation, it becomes

x + 102 - 102 = 180 - 102

x = 78 degrees

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A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

7 0
3 years ago
Is the Rule Number of Quality Management
Burka [1]
The quality of the goods you produce depends on the quality of your production process. If your production process doesn’t meet the required quality standards, the product may be of inferior quality.
4 0
2 years ago
David's dinner cost $24. He wants to leave a 20% tip. The tax rate is 8%. What is the total he will pay? (not $31.10)
Hitman42 [59]

Answer:

$30.72

Step-by-step explanation:

You were right with your answer, the teacher is probably just wanting you to tip on the subtotal (before tax) instead of the total total. Instead of doing total+tax+tip, we're going to figure out the tax and tip separately and then add it all together.

<u>Tipping on the subtotal (what your teacher wanted)</u>

20% of $24 = $4.80

8% of $24 = $1.92

$24+$4.80+$1.92=$30.72

<u>Tipping on the total (what you did)</u>

8% of $24 is $1.92

New total is $25.92

20% of $25.92 is $5.18

$25.92 + $5.18 = $31.10

5 0
2 years ago
Please Help I will give you a lot of points if you do!
Maru [420]

Answer:

De Morgan's Theorem, T12, is a particularly powerful tool in digital design. The theorem explains that the complement of the product of all the terms is equal to the sum of the complement of each term. Likewise, the complement of the sum of all the terms is equal to the product of the complement of each term.

Step-by-step explanation:

De Morgan's Theorem, T12, is a particularly powerful tool in digital design. The theorem explains that the complement of the product of all the terms is equal to the sum of the complement of each term. Likewise, the complement of the sum of all the terms is equal to the product of the complement of each term.

4 0
2 years ago
A frame contains 4 pounds of gold. Suppose gold is worth $1,277 per ounce. How much would the gold in the crown be worth? $5,108
Art [367]

Answer:

5108

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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