Triangle angles add up to a total of 180 degrees.
X will substitute for the second angle.
(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).
The third angle is a right angle which is 90 degrees.
The equation therefore, the summation of the angles:
90 + x + (x - 10) = 180
Join like terms:
80 + 2x = 180
Solve for x:
2x = 100
x = 50
This means that:
The second angle is 50.
The first angle is 50 - 10 which is 40.
We can double check by adding the angles 50, 40, and 90 together to get 180.
Step-by-step explanation:
<u>Inequality to describe problem:</u><u> </u>
x represents the unknown integer(s).
Integers are positive or negative numbers that <u>don't</u> have a fraction, or a decimal.
<u>Positive integers that work in the inequality:</u>
<u>
</u>
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.
Hello from MrBillDoesMath!
Answer:
9 3/8
Discussion:
2 1/7 = 15/7
4 3/8 = 35/8
so the product
(2 1/7) * ( 4 3/8) =
15/7 * 35/8 =
15/7 * (7 * 5)/8 =
since 35 = 7*5. Cancel "7" in numerator\denominator to get
(15 * 5) / 8 =
75/8 =
9 3/8
Thank you,
MrB
<h3>
Answer: y = (3/4)x + 13/4</h3>
This is the same as writing y = 0.75x + 3.25
slope is 3/4 = 0.75
y intercept is 13/4 = 3.25
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Explanation:
One marked point on this line is (-3,1)
Another point is at (1,4)
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (4-1)/(1-(-3))
m = (4-1)/(1+3)
m = 3/4
m = 0.75
Now let's use point slope form to find the equation of the line
y - y1 = m(x - x1)
y - 1 = 0.75(x - (-3))
y - 1 = 0.75(x + 3)
y - 1 = 0.75x + 2.25
y = 0.75x + 2.25 + 1
y = 0.75x + 3.25
If you wanted, you can convert those decimal values to fraction form
- 0.75 = 75/100 = 3/4
- 3.25 = 325/100 = 13/4
That means the equation
y = 0.75x + 3.25
is the same as
y = (3/4)x + 13/4
When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)
But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)
