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Romashka-Z-Leto [24]
3 years ago
15

What is the value of x is?

Mathematics
1 answer:
marin [14]3 years ago
3 0
The applicable theorem is the one that tells you the exterior angle is equal to the sum of the opposite interior angles.
  9x = (5x) +(9 +x)
  9x = 6x +9 . . . . . . . . collect terms
  3x = 9 . . . . . . . . . . . . subtract 6x
  x = 3 . . . . . . . . . . . . . divide by 3

The value of x is 3.

_____
The angles (clockwise from left) are then
  (9*3)° = 27°
  (5*3)° = 15°
  (9 +3)° = 12°
This is an obtuse triangle, obviously not drawn to scale.
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Please help me with this.
svlad2 [7]

The correct answer is C.) (y|y > -4).

In order to find the range, we look for the possible numbers that y can be. In this case, you'll see the lowest the number goes is -4 and it continues up forever. Therefore, the answer is that y has to be greater than -4.

6 0
3 years ago
3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?
Rasek [7]

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

7 0
3 years ago
Is 91.8 a rational or a non-rational number​
Klio2033 [76]

Answer:

Yes. It is a rational number.

7 0
3 years ago
Read 2 more answers
Number 13 explain......
Marat540 [252]
The slope is 2 and the equation of the line is y = mx+b with m =2

Then the equation becomes: y = 2x+b. How to calculate b?
Since this line passes through the point (-3 , 4), we replace x with -3 and y=4

4= 2.(-3) + b 
4 = - 6 + b
and b= 10. The final equation is : y = 2x + 10 (answer a)


3 0
3 years ago
For each of the following functions f(x) below : Find its limits limx→±[infinity]f(x) as x approachs ±[infinity] . Choose the va
kicyunya [14]

Answer:

See below

Step-by-step explanation:

f(x)=\max\{0,x\} then f(x)=0 if x<0 and f(x)=x if x≥0.

When x→-∞, f is the constant function zero, therefore \lim_{n\rightarrow -\infty}f(x)=0. When x→∞, f(x)=x and x grows indefinitely. Thus \lim_{n\rightarrow \infty}f(x)=\infty

f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x)=x) and if x<0, f'(0)=0 (the derivative of the constant zero). In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

6 0
3 years ago
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