The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.

Step-by-step explanation:

x + y = 25

2x - y = 6           Solve for y in this the second equation. Add y to both sides

2x  = 6 + y         The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25      Combine on the left

3x - 6 = 25           Add 6 to both sides.

3x = 25 + 6           Combine the right

3x = 31                   Divide by 3

x = 31 / 3            

x = 10.333333

x + y = 25

10.33333 + y = 25  Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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