Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.
1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3
2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25
JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25
3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.
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Answer: HJ = 25, JK = 25, HK = 50
Answer:
Vertex form
Step-by-step explanation:
You convert to vertex form a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).
For example find minimum value of x^2 + 5x - 6:-
x^2 + 5x - 6
= (x + 2.5)^2 - 6.25 - 6
= (x + 2.5)^2 - 12.25
The coordinates of minimumm will be (-2.5, -12.25) The values of the minimum of the function is -12.25
If those two are your only choices then the answer is
none of the above.
<em>Attached is a cumulative frequency table for your data.</em> If you take a look at the two tables given, the frequencies were not tallied properly. If the frequency column is wrong, then the cumulative frequency will be wrong.
The answer is then none of the above or find one that matches the table attached.


- ➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
- ➣ Circumference:- The line that bounds a circle or other two-dimensional figure

★ also circumference of a circle is also known as it's perimeter
- ➣To find circumference of circle when use formula

- ➢ r = radius (25inch.)
- ➢ value of π is 3.14



★ Hence circumference of circle=157inch


Hope it helps !
Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12