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MArishka [77]
3 years ago
6

If a=i-2j and b= 2i - xj are parallel, then x is.....a) 4 3 2 ) 2 d 4.​

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

a = i-2j

b = 2i-xj

1 = k•2

-2 = k•(-x)

=> 1/2 = k

=> (-2)/(-x) = k

=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4

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Step-by-step explanation:

8 0
2 years ago
What is the answer?​
charle [14.2K]

Answer:

x = 20 but see below.

Step-by-step explanation:

Remark.

This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.

A = D

3x - 10 = 2x + 10                     Add 10 to both sides

3x - 10 + 10 = 2x + 10 + 10     Cancel

3x = 2x + 20                           Subtract 2x from both sides

3x-2x=2x-2x + 20

x = 20

A = E

If A = E then to find x you have to add 3 angles together.

E + D + 45 = 180                  Add the three angles of the triangle

E + D = 180 - 45                  Subtract  45 from both sides

E + D = 135                          Substitute for D and E

3x - 10 + 2x + 10 = 135        Combine like terms

5x = 135                              Divide by 5

x = 135 / 5

x = 27

Answer

I'd go with the first one.

5 0
3 years ago
Answer soon please, will give brainlest.
Vinil7 [7]

Answer:

1. Range is 37,IQR is 16.5, MAD is 9

2.Range is 35,IQR is 14, MAD is 8

3. Range is 76,IQR is 37, MAD is 19.1

4. Range is 8, IQR is 4, Mad is 20.4

5. Range is 62,IQR is16 , MAD is 13.08

6. Range is 42,IQR is 23,MAD is 12

Step-by-step explanation:

mrk me brainliest plz

6 0
2 years ago
Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6
shtirl [24]

If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of

<em>x</em> + <em>y</em> = 500

litres, and it contains

0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for <em>y</em> :

<em>y</em> = 500 - <em>x</em>

<em />

Substitute this into the second equation and solve for <em>x</em> :

0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375

0.65<em>x</em> + 450 - 0.90<em>x</em> = 375

75 = 0.25<em>x</em>

<em>x</em> = 300

Solve for <em>y</em> :

<em>y</em> = 500 - 300

<em>y</em> = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0
3 years ago
Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not
algol [13]

Answer:

If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

3 0
3 years ago
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