Try It First ! REMEBER PRACTICE MAKES PERFECT , AND MISTAKES MAKES LESSON
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 = 
Hope this helps!! :)
Please let me know if you have any questions
Answer:
$41500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 15%/100 = 0.15 per year,
putting time into years for simplicity,
3 months ÷ 12 months/year = 0.25 years,
then, solving our equation
I = 40000 × 0.15 × 0.25 = 1500
I = $ 1,500.00
The simple interest accumulated
on a principal of $ 40,000.00
at a rate of 15% per year
for 0.25 years (3 months) is $ 1,500.00.
The greatest common factor of 8x and 22yx is 2x.
I got this answer by factoring out 8 and 22:
8: 1,2,4,8
22: 1,2,11,22
Their greatest common factor was 2 and they both have x.
Your answer is 2x.