1. so since we assume that CF is a straight line that means that the angle CAF is 180 angle CAD is 90 and FAE is 65 so 180-(65+90)=DAE=25
2. so since angle QPR= angle TPS (both are signified by f) and we assume that QT is straight so then QPT=180
180-154=2f=26
angle f=13
QPR=13
3. so we assume that BG is straight so it is 180
we add up the known angles (BQD+DQE+FQG=10+103+12=125) 180-125=DQC+EQF=55=2x+3x=5x
5x=55
x=11
CQD=2x=22
EQF=3x=33
4. we know that x=x and the whole is 360 so
x+x+x+x+71+71+71+71=360=4x+284=360
4x=76
x=19
8. so we assume that EF and CD are straight lines so EQD=CQF so 155=56+3x so
99=3x
CQG=99
9. so adjacent and the ratio is 4:5 so a line is 180 so 4+5=9 180/9=20 20*4=80 20*5=100 4:5 =80:100
a. 80 and 100
b. you should be able to do this
10. so on a line is 180
a. 3:4:5 3+4+5=12 180/12=15
3*15=45 4*15=60 5*15=75
3:4:5 =45:60:75
the angles are 45 60 75
b. you should be able to do this from my work
Devin is correct because you can draw parallelograms that aren't trapezoid, such as rectangles or squares
I hope I've helped!
Answer:
Factored form (linear): (4x+3)(x-3)(x-5)
Step-by-step explanation:
Using long division and factoring, we can find the answer. Since the root/zero of <em>5 </em>is given already, we can change this into a factor of <em>(x - 5)</em><em> </em>as 5 is a root.
Step 1: Long division. Divide f(x) by (x-5)
Once you do long division, you should have left over (x-5)(4x²+9x-9)
Step 2: Factor the quadratic
Since you can't do gcf, you have to leave the 4x as a factor. Once you factor out the quadratic, you should get the answer:
(x-5)(4x+3)(x-3)
Step 3: Rearrange (Optional)
(4x+3)(x-3)(x-5)
