<u>Given</u><u> </u><u>:</u><u> </u>
- There is a quadrilateral.
- Two sides of the quadrilateral are parallel .
- Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>
Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.
⇒ 96° + 2x = 180° .
⇒ 2x = 180° - 96° .
⇒ 2x = 84° .
⇒ x = 
<u>Hence</u><u> </u><u>value</u><u> </u><u>of </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>°</u><u> </u><u>.</u>
Similarly , 94° & ( 3y + 44) ° are co- interior angles
⇒ 94° + ( 3y + 44)° = 180° .
⇒ ( 3y + 44 )° = 180° - 94° .
⇒ 3y + 44° = 86°.
⇒ 3y = 86° - 44° .
⇒ 3y = 42° .
⇒ y = 
<u>Hence</u><u> </u><u>the </u><u>value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u>°</u><u>.</u>
Answer:
81
Step-by-step explanation:
(9x - 4)(9x + 4) = ax² - b
81x² - 36x + 36x - 16
= 81x² - 16
=> a = 81
Answer:
After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.
Step-by-step explanation:
Caitlyn's saving: -5x+210
Santos' saving: 5x+90
To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.
-5x+210 = 5x+90
(Add 5x on both sides)
210=10x+90
(Subtract 90 from both sides)
120=10x
(Simplify)
x=12
After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.
Here, Twice fast means, she takes half time in doing same amount of work.
Let, Anna takes = 2t & Jane takes = t
It would be: 1/t + 1/2t = 1/15
2t + t / 2t² = 1/15
15(3t) = 2t²
2t² = 45t
Divide both sides by t,
2t = 45
t = 45/2
t = 22.5
& 2t = 22.5(2) = 45
In short, Anna would take 45 minutes
Hope this helps!