Answer:
45
Step-by-step explanation:
sum of angles of triangle is 180:
2k + k + 45 + 180 then 3k = 135
k = 45
X + (x+1) = 2x+1
Here, 2x+1 is always odd
For example the value of x is 2 then we can say that,
x=2; x+1=3; 2x+1 = 5 <u>[odd number(5)]</u>
= 2 + 3 = 5
<em>Please note that the bolded words are only for your better understanding</em>
HOPE IT HELPS!
<h3>
Answer: n = 9</h3>
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Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
- 30+n = 30+0 = 30
- n/3 = 0/3 = 0
- sqrt(n+16) = sqrt(0+16) = 4
The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
- 30+n = 30+9 = 39
- n/3 = 9/3 = 3
- sqrt(n+16) = sqrt(9+16) = 5
We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
Answer:
see explanation
Step-by-step explanation:
HF is a perpendicular bisector of Δ EGH
Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so
GH = EH
3x - 8 = 2x ( subtract 2x from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
Then
GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16
Answer:
22 degrees
Step-by-step explanation:
Since both triangles correspond, side x is correspondent to 22 degrees, Since that is also the only given piece of information, that is your answer.
