1. diginity
2.require
3.tuition
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)
Answer:
Q=(1,-5)
R=(5,-5)
S=(2,-7)
Step-by-step explanation:
For Q3, you can subsitute x = 2 and y = 5 into the systems
-5(2) + 5 = -5
so it's a solution for the first system
-4(2)+2(5) = 2
it's also a solution for the second system
Answer:
Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.