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2 years ago

For what value of x is line a parallel to line b?

Mathematics

2 answers:

Yuliya22 [10]2 years ago

6 0

The correct answer is x=20
Enter 20 in the box
5x+15=1155x=100x=20
and to check (5x +15) = 115 are corresponding angles(5)(20)+15 Substitute x for 20=115

galben [10]2 years ago

4 0

Check the picture below.

now, if those two angles are corresponding, that means they're equal, therefore then

5x + 15 = 115

and surely you know what "x" is, and for that value, the angles are corresponding and therefore the lines are parallel.

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If the diameter of a circle has endpoints A (7,2) and B (-1,8), where is the center?

docker41 [41]

In the middle: x-coordinate= {7-(-1)}/2= 4 y-coordinate= (8-2)/2= 3 So centre is (4,3)

3 0

3 years ago

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Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.

mamaluj [8]

Answer:

see below

Step-by-step explanation:

(ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

(ab)^k=a^k * b^k given

Multiply each side by ab

ab * (ab)^k= ab *a^k * b^k

( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0

2 years ago

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Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of

slamgirl [31]

Answer:

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Step-by-step explanation:

8 0

2 years ago

Suppose the rent for an apartment is $9,000 for the first year. The rent is expected

Maurinko [17]

Answer: $57,000

Step-by-step explanation:

Understand what is being asked. 1st yr is 9000. Yr 2 is 9000+1200= 10200. Yr 3 =10,200+1200=11,400. Yr 4 is 11,400 +1200=12,600 and Yr 5 is 12600+1200=13,800. Over the course of 5 yrs you are paying 9000+10200+11400+12600+13800 which has a total sum of $57,000.

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3 years ago

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How to do the problem

MrMuchimi

Order of operations are:
1. Parentheses (simplify inside 'em)
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

So, on your first one:
Parentheses first:
8(3+4)-2*8/(5-3)
8(7)-2*8/(2)

There are no exponents so multiplication and division:
56-16/2
56-8

Finally, addition and subtraction:
56-8=48

Your second problem is a bit more complicated but follows the same rules:
 $( 8^{2}+(13-4) ^{2} )/5$

Parentheses first:
 $( 8^{2}+ 9^{2})/5)$

Now, exponents. Even though they are inside parentheses, we can't go further until we simply those.
(64+81)/5

Now back to parentheses:
(145)/5

Division:
145/5=29

Hope that helps

8 0

3 years ago