Answer:
18
Step-by-step explanation:
If the average of 6 numbers is 10, then the sum of those 6 numbers is:
6 x 10 = 60
To calculate the sum of the remaining 10 numbers, subtract 60 from the total sum of all the numbers:
240 - 60 = 180
Therefore, the average of the 10 remaining numbers:
180 ÷ 10 = 18
The green square is 15 ft wide by 15 ft tall.
The area of one green square is 15 x 15 = 225 square feet.
There are 4 sides plus the base : 225 x 5 = 1125 square feet for the green part.
One triangle has a base 15 feet wide and a height of 9 feet.
The area for one triangle is 1/2 x 15 x 9 = 67.5 square feet.
There are 4 triangles: 67.5 x 4 = 270 square feet.
Total: 1125 + 270 = 1,395 square feet.
Answer:
The length of TQ is 14.
Step-by-step explanation:
The length of SV and VS are the same.
4x - 1 = 15
4x = 16
x = 4
Similarly, the length of TS and TQ are the same.
3x + 2 = 3(4) + 12 = 14
Answer:
it is a linear function because the x value doesn't repeat
Step-by-step explanation:
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
