Answer:
<h3>x = 3/2 ± √(61/20)</h3>
Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
Answer:
Yes and SSS
Step-by-step explanation:
Let’s write down the ratios to figure out the first question:
RP:MN=5:3
NP:ML=10:6
RN:LN=15:9
Notice that we can simplify all of those ratios to 5:3. That means that the sides are all similar, so yes, the triangles are similar.
For the second question: They are similar by because all sides are similar in the same ratio. That means that they are similar by the SSS similarity.
Hope that helps
Answer:
I think number 1=209
number 2=120
number 3=89
Step-by-step explanation:
x= 1st aircraft
y=2nd aircraft
z=3rd aircraft
x=y+89
y=z+31
z=y-31
x+y+z=418
y+89+z+31+y-31=418
2y+89+z=418
2y+z=329
2y+(add z)
2y+y-31=329
3y=360
y=120
x=120+89=209
z=120-31=89
