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The x angle degrees is 90 and the y angle degrees is 30
Answer:
35.0 units
Step-by-step explanation:
we know that
A <u><em>mid-segment</em></u> of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment is always parallel to the third side, and the length of the mid-segment is half the length of the third side
so
![6x+5=\frac{1}{2}(3x+55)](https://tex.z-dn.net/?f=6x%2B5%3D%5Cfrac%7B1%7D%7B2%7D%283x%2B55%29)
solve for x
![12x+10=3x+55\\12x-3x=55-10\\9x=45\\x=5](https://tex.z-dn.net/?f=12x%2B10%3D3x%2B55%5C%5C12x-3x%3D55-10%5C%5C9x%3D45%5C%5Cx%3D5)
Find the length of the mid-segment
substitute the value of x
![6(5)+5=35.0\ units](https://tex.z-dn.net/?f=6%285%29%2B5%3D35.0%5C%20units)
Answer:
Number 1: <em>0.28571428571429</em>
Number 2: <em>2.1666666666667</em>
Number 3: <em>0.1875</em>
Number 4: <em>0.75</em>
Number 5: 0.5
Number 6: <em>13.875</em>
Number 7: <em>8.66666666667</em>
Number 8: <em>0.625</em>
Step-by-step explanation:
To get decimal
You have to divide numarator with denominator
2 : 7
5/10 = 5:10 = 0.5
When you have mixed number you have to multiply number not fraction with denominator and then add numarator
2 1/6 = 12 + 1 / 6 = 13/6 = 13 : 6 = 2.1666667
2x6 + 1
It doesn't matter how many numbers you'll add. At the end of the Number is best to add this
_
6
It means that number is repeating. You can still round it tho :-)
We can also say that
6
-- is same as 6:12
12
Solutions:
2/7 = 2:7 = 0.28571428571429
2 1/6 = 12 + 1 / 6 = 13/6 = 13 : 6 = 2.1666667
2x6 + 1
3/16 = 3 : 16 = 0.1875
3/ 4 = 3 : 4 = 0.75
5/10 = 5 : 10 = 0.5
13 7/8 = 104 + 7/8 = 111/8 = 111 : 8 = 13.875
13 x 8
8 10/15 = 120 + 10/15 = 130/15 = 130 : 15 = 8.66667
5/8 = 5:8 = 0.625
Maybe it can seems hard but it's pretty easy! I hope you will read whole explanation :-)
Have a nice day!
<em>P.S.: If you have any questions write me on Amino Ayleena :-) </em>
Answer:
1. 25
2. 7
Step-by-step explanation:
Let the variables be denoted as "x".
1. If 5 times "x" is increased by 50, the result is the same as when 200 is decreased by "x".
Set the equation:
5x + 50 = 200 - x
Isolate the x. Note the equal sign, what you do to one side, you do to the other. First, add x and subtract 50 from both sides:
5x (+ x) + 50 (-50) = 200 (-50) - x (+x)
5x + x = 200 - 50
6x = 150
Next, divide 6 from both sides of the equation:
(6x)/6 = (150)/6
x = 150/6 = 25
25 is your number.
~
2. If 50 is decreased by 4 times "x", the result is 15 more than "x".
Set the equation:
50 - 4x = 15 + x
Isolate the x. Note the equal sign, what you do to one side, you do to the other. First, subtract x and subtract 50 from both sides:
50 (-50) - 4x (-x) = 15 (-50) + x (-x)
-4x - x = 15 - 50
-5x = -35
Divide -5 from both sides of the equation:
(-5x)/-5 = (-35)/-5
x = -35/-5 = 7
x = 7
7 is your number.
~