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kogti [31]
3 years ago
14

An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

Answer:

29° ; 61°

Step-by-step explanation:

Let one angle  = x°

Other angle = (x + 32)°

x + x + 32 = 90   {given they are complementary}

2x + 32 = 90

2x = 90 -32

2x = 58

x = 58/2

x = 29

One angle  = 29°

Other angle = 29 + 32 = 61°            

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2y+18=42 what is y, and how would you find it?
Nesterboy [21]

Answer:

y=12

Step-by-step explanation:

Use order of operations. Subtract 18 from both sides and the divide by 2.

2y+18 -18=42-18

2y=24

y=12

3 0
3 years ago
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from
MatroZZZ [7]

Answer: $7,605

Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

= Principal * (1 + rate)^ no. of periods

= 6,500 * (1 + 17%)

= $7,605

4 0
2 years ago
What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18
Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1                                ..................(i)

2x + 5y = 18                             .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

\frac{-13x}{-13}=\frac{13}{-13}

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

4 0
3 years ago
Please help if you can! :)
mina [271]

9514 1404 393

Answer:

  A. no solution

  B. unique solution: (x, y) = (0, 0)

Step-by-step explanation:

For these problems, you can subtract the second equation from the first to get something of the form ...

  0 = (expression)

The solution of that will tell you the answer.

__

A. (2x +3y) -(2x +3y) = (4) -(9)

  0 = -5 . . . . . . . . no values of x or y will make this true: NO SOLUTION

__

B. (y) -(y) = (6x) -(x)

  0 = 5x

  0 = x . . . . . . divide by the coefficient of x.

  y = x = 0

The unique solution is (x, y) = (0, 0).

5 0
2 years ago
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
Stella [2.4K]

<u>Answer:</u>

The correct answer option is b = -a.

<u>Step-by-step explanation:</u>

We know that a number b is located the same distance from 0 as another number, a, but in the opposite direction.

So, The equation will be b = -a which is the same as writing b = -1 * a.

Here, the negative sign with the 'a' will change it from positive to negative, or vice versa.

Recall how,

negative times positive is negative; and

negative times negative is positive.

5 0
3 years ago
Read 2 more answers
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