Part 1) Finding x
Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.
Therefore, XZ is twice as long as XY
XZ = 2*( XY )
XZ = 2*( 2x-1 )
XZ = 4x - 2
We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x
6x-8 = 4x-2
6x-4x = -2+8
2x = 6
x = 6/3
x = 3
<h3>Answer is 3</h3>
=====================================
Part 2) Finding the length of YZ
The resut of part 1 (x = 3) is plugged into the equation for XY to get
XY = 2*x-1
XY = 2*3-1
XY = 6-1
XY = 5
Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).
<h3>Answer: 5</h3>
=====================================
Part 3) Finding the length of segment XZ
The answer from the previous part was 5. This doules to 5*2 = 10
-----
A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...
XZ = 2*(3x-4)
XZ = 2*(3*3-4)
XZ = 2*(9-4)
XZ = 2*5
XZ = 10
and we get the same answer
<h3>Answer: 10</h3>
Answer:
1st option
Step-by-step explanation:
(x²+x-6)/(x-7)≤0
x≤-3
2≤x≤7
These are the solutions you'll find solving the inequation
Answered by GAUTHMATH
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
2.5 years = 30 months
7500$ in 30 months
x$ in 1 month
___________________
x = (7500*1)/30 = 250
The answer is 250$/month.
The correct answer is C because the lowest number is 4 ( out of all the numbers ), which is the dot to the above the number 4 and the largest number is 14, that is also marked by a dot above the number 18. The medians are ( the middle number ) 8 and 10, so you are going to add these to numbers together, 8 + 10 = 18, and then you have to divide it by 2, 18 ÷ 2 = 9, which means the median is 9, which is the middle line. For the 1st quartile, you have to add both the 7's and divide by 2, 7+7=14 ÷ 2 = 7, so then the 1st quartile is 7, the line closest to the 4, repeat this for the 3rd quartile, 11 + 13 = 24 ÷ 2 = 12, 3rd quartile = 12, the line closest to the number 14.
