Answers
Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
Learn more about angles;
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Step-by-step explanation:
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Answer:
y = - x
Step-by-step explanation:
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What is the value of the 100th term in this arithmetic sequence?
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Step-by-step explanation:
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Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Answer:
a i think
Step-by-step explanation:
A student thinks that the regular pentagon in the diagram
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Answer:
A
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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4.89-3.021= 1.869miles
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer: y [tex]\leq[/tex] 2x - 4
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A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
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Answers
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Step-by-step explanation:
alice has 5 quarters and 2 nickels. how many cents does alice have?
Answers
Answer: $1.35 is the answer
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
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In point b:
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In question (2):
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In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]
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DOOODDOOO
Answers
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
All of the triangles are similar, so the ratio of short side to long side is the same for all.
4/8 = k/4
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_____
Additional comment
By similar reasoning or by the Pythagorean theorem, ...
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Answers
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Answers
Answer:
14
Step-by-step explanation:
we know that w and 2 are the same here, so substitute w with 2: 7(2)
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Answer:
14
Step-by-step explanation:
If w=2
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Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form
Answers
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
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£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
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Answers
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
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Answer: should be the last answer! to the right.
Step-by-step explanation:
You have 30 coins and the d are dimes and q are quarters