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Sindrei [870]
2 years ago
15

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
vlabodo [156]2 years ago
4 0
The other person who answered is correct
Svetlanka [38]2 years ago
3 0

Answer:

X= 6.4   ∠A=68.8

Step-by-step explanation:

We know that these 2 angle must equal 180 so we use the equation:

180=7x+24+3x+92

OR

180=7x+3x+24+92

Then, we add like terms (both variable and numbers)

180=10x+116

After that, we solve

180=10x+116

-116        -116

__________

64=10x

________

64/10 = x

________

6.4=x

Now that we have found x, we can plug in x to figure out the new equation to find the angle of A (or B).

∠A= 7(6.4)+24

If we solve that, it would be:

∠A=44.8+24

___________

∠A=68.8

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John's bank notified him that he had a negative checking account balance of -$125.70. If John makes two deposits of $89.32 each,
NeX [460]
The answer is 52.94 because since it said he made to deposits of 89.32 you and that together and your result is 173.64 and then you subtract that from -125.70 and you get 52.94
5 0
3 years ago
What are the domain and range of f (x) = log (x minus 1) 2?.
statuscvo [17]

You can use the definition of logarithm and the fact that a positive number raised to any power will always stay bigger than 0.

The domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers)

<h3>What is the definition of logarithm?</h3>

If a is raised to power b is resulted as c, then we can rewrite it that b equals to the logarithm of c with base a.

Or, symbolically:

a^b =  c \implies b = log_a(c)

Since c was the result of a raised to power b, thus, if a was a positive number, then a raised to any power won't go less or equal to zero, thus making c > 0

<h3>How to use this definition to find the domain and range of given function?</h3>

Since log(x-1) is with base 10 (when base of log isn't specified, it is assumed to be with base 10) (when log is written ln, it is log with base e =2.71828.... ) thus, we have a = 10 > 0 thus the input x-1 > 0 too.

Or we have:

x > 1 as the restriction.

Thus domain of the given function is {x | x > 1 and a real number }

Now from domain, we have:

x >  1\\&#10;x-1 > 0\\&#10;log(x-1) > -\infty\\&#10;log(x-1) + 2 > -\infty\\&#10;f(x) > -\infty (log(x-1) > -infinity since log(0) on right side have arbitrary negatively large value which is denoted by -infinity)

Thus, range of given function  is whole real number set \mathbb R (since all finite real numbers are bigger than negative infinity)

Thus, the domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers

Learn more about domain and range here:

brainly.com/question/12208715

8 0
2 years ago
Can someone please help me? I don't understand how to solve this.
Scilla [17]

Answer:

  (5, 15)

Step-by-step explanation:

The problem statement tells you how to solve it. You are expected to know what the midpoint formula is.

You are given that (x, y) is the unknown end point. If (Mx, My) is the midpoint, and (x1, y1) is one end point, the midpoint formula tells you ...

  Mx = (x1 +x)/2

  My = (y1 +y)/2

__

Solving these equations for x and y, you get ...

  2Mx = x1 +x

  x = 2Mx -x1

Similarly, ...

  2My = y1 +y

  y = 2My -y1

__

Filling in the given coordinates, this becomes ...

  x = 2(-2) -(-9) = -4 +9 = 5

  y = 2(7) -(-1) = 14 +1 = 15

The other endpoint is (5, 15).

_____

<em>Additional comment</em>

I like to write the midpoint formula for points A and B as ...

  M = (A +B)/2

where A and B each represent an ordered pair (or triple, in 3 dimensions). The arithmetic is done element-by-element on the ordered pairs, so this formula is equivalent to the one above.

If you solve it for B, you get ...

  B = 2M - A . . . . the other endpoint given the midpoint and one endpoint

This might be a formula you want to add to your list of useful formulas in Algebra.

3 0
2 years ago
Pls HELP I don’t understand :,(
White raven [17]
I have no clue what the answer is
3 0
3 years ago
the angles of a triangle are in the ratio 3:4:5. what is the degree measure of the smallest angle of the triangle?
Alik [6]
A triangle interior angles add up to 180

so we have 3:4:5
the ratio of the angles
 3+4+5=12
therefor 180=12 units
divide by 12
15=1 unit
subsitute
find the smallest unit
3
3 times 15=45
answer is 45 degrees
6 0
3 years ago
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