Answer:
81
Step-by-step explanation:
let the terms be a,ar,ar²
r=2/3
a+a(2/3)+a(2/3)²=171
multiply by 9
9a+6a+4a=171×9
19 a=171×9
a=(171×9)/(19)
a=9×9=81
Answer:
p>-1 or p<-19
Step-by-step explanation:
4p-10<6p-8 (add 10 to each side)
4p< 6p+2 (subtract 6p from each side)
-2p<2 (divide by -2 and switch the sign)
p>-1
10p+16<9p-3 (subtract 16 from each side)
10p<9p+-19 (subtract 9p from each side)
p<-19
Answer:
Step-by-step explanation:
Let 25% solution is x liters, then 50% solution is (80 - x) liters.
<u>Acid content is going to be same:</u>
- 0.25x + 0.5(80 - x) = 80*0.4
- 0.25x - 0.5x + 40 = 32
- 0.25x = 8
- x = 8/0.25
- x = 32 liters
So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution
Answer:
1) b and m
2) m∠8=m∠6
3) 160°
4)x=60°
Step-by-step explanation:
1) all straight lines sum to 180°
subtract the angles given from 180°
the other angle for b is 25°, while the other angle for m is 155°
so we can see that the angles for both lines are the same, hence they are parallel.
2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4
in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.
3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°
(2x-16)°+(7x+20)°=180°
we get x=20(nearest whole number)
∠CED=7x+20=7(20)+20=160°
4) since we need to show that they are parallel,
(2x+30)°=(4x-90)°
2x-4x=-90-30
-2x=-120
x=60
we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)
I hope u understand it the way I put it.
9514 1404 393
Answer:
(d) Infinitely Many Solutions
Step-by-step explanation:
Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...
Infinitely Many Solutions
