Answer:
Step-by-step explanation:
if ∠1=∠2
2x+12=3x+3
3x-2x=12-3
x=9
∠1=2×+12=30°
∠2=30°
∠VXW=30+30=60°
Answer:
Total Resistance =
Ω (or 144.44 Ω)
Step-by-step explanation:
If two resistors, with resistance x and y, are connected in parallel, their total resistance is given by the formula:
![\frac{1}{Total}=\frac{1}{x}+\frac{1}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BTotal%7D%3D%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7By%7D)
If 2 resistors with resistance x and y and connected in series, their total resistance would be:
Total = x + y
<em>Now, the first part, 100 and 80 are in parallel, so according to formula it would be:</em>
<em>
</em>
<em />
<em>Now, this is connected in series with 100, so the grand total would be:</em>
<em>Total Resistance of Circuit =
</em>
<em />
This is the total resistance of the circuit.
Answer:
A = 3
2A5A0A2 = 2353032
Step-by-step explanation:
Given:
2A5A0A2 is divisible by 9
2A5A0A2 can be divisible by 99 if the sum of the digits can be divided by 9
Digits A is between 0 to 9
2 + A + 5 + A + 0 + A + 2 = 9x
Where,
x = multiples of 9
9 + 3A = 9x
Make A the subject
A = (9x - 9) / 3
When x = 0
A = {9(0) - 9} / 3
= (0 - 9) /3
= -9/3
= -3
When x = 1
A = (9x - 9) / 3
= 9(1) - 9 /3
= 9-9/3
=0/3
A = 0
When x = 2
A = (9x - 9) / 3
= 9(2) -9 / 3
= 18-9/3
= 9/3
A = 3
When x = 3
A = (9x - 9) / 3
= 9(3) - 9 / 3
=27 - 9 /3
= 18/3
A = 6
When x = 4
A = (9x - 9) / 3
= 9(4) -9 /3
= 36-9/3
= 27/3
= 9
Recall, Digits A is between 0 to 9
Substituting A = 0
2050002 ÷ 99
= 20707.09
Substituting A = 3
2A5A0A2
2353032 ÷ 99
= 23,768
Substituting A = 6
2A5A0A2
2656062 ÷ 99
= 26,838.91
Substituting A = 9
2A5A0A2
2959092 ÷ 99
= 29,889.82
Therefore, the only A digit that will not give a decimal number when divided by 9 is 3
A = 3
Answer:
Total cost of meal is $60
Step-by-step explanation:
The cost of meal = $50
Tip = 20%
We need to find total cost of meal
First find 20% of 50 to get the amount given for tip
![20\% \:of\: 50\\=\frac{20}{100}\times 50\\=10](https://tex.z-dn.net/?f=20%5C%25%20%5C%3Aof%5C%3A%2050%5C%5C%3D%5Cfrac%7B20%7D%7B100%7D%5Ctimes%2050%5C%5C%3D10)
So, tip given is $10
Total cost of meal = 50+10 = $60
So, total cost of meal is $60