Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
![\dfrac{AC}{AJ}=\dfrac{AB}{AK}](https://tex.z-dn.net/?f=%5Cdfrac%7BAC%7D%7BAJ%7D%3D%5Cdfrac%7BAB%7D%7BAK%7D)
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
![\dfrac{5}{1}=\dfrac{1+x}{1}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B1%7D%3D%5Cdfrac%7B1%2Bx%7D%7B1%7D)
<em>subtract 1 from both sides</em>
![4=x\to x=4](https://tex.z-dn.net/?f=4%3Dx%5Cto%20x%3D4)
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
![\dfrac{VU}{VM}=\dfrac{VT}{VN}](https://tex.z-dn.net/?f=%5Cdfrac%7BVU%7D%7BVM%7D%3D%5Cdfrac%7BVT%7D%7BVN%7D)
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
![20=x\to x=20](https://tex.z-dn.net/?f=20%3Dx%5Cto%20x%3D20)
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
brainly.com/question/25860159
Answer:
Step-by-step explanation:
378,903,970.
Answer:
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.