Answer:
3x = 50 - 10y
Step-by-step explanation:
Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,
So, total weight of 3 lb weights = 3x
And, the weight of 10 lb weights = 10y
Total weight of all his weights = 3x + 10y
According to the question,
Total weight = 50 lb,
⇒ 3x + 10y = 50
Or 3x = 50 - 10y
Which is the required equation.
Second option is correct.
Answer:
a) (2+8)+9
b) (3+7)+5+4
c) (4+16)+2
d) (31+9)+4
Step-by-step explanation:
a) 2+9+8
2 and 8 add up to 10, so we regroup them in parentheses
(2+8)+9
b) 3 + 5 + 4 + 7
3 and 7 add up to 10, so we regroup them in parentheses
(3+7)+5+4
c) 4 + 2 + 16
4 and 16 add up to 20 which is a multiple of 10, so we regroup them in parentheses
(4+16)+2
d) 31 + 4 + 9
31 and 9 add up to 40 which is a multiple of 10, so we regroup them in parentheses
(31+9)+4
<u>Answer-</u>
<em>The correct answer is</em>
<em>∠BDC and ∠AED are right angles</em>
<u>Solution-</u>
In the ΔCEA and ΔCDB,

As this common to both of the triangle.
If ∠BDC and ∠AED are right angles, then 
Now as
∠BCD = ∠ACE and ∠BDC = ∠AED,
∠DBC and ∠EAC will be same. (as sum of 3 angles in a triangle is 180°)
Then, ΔCEA ≈ ΔCDB
Therefore, additional information can be used to prove ΔCEA ≈ ΔCDB is ∠BDC and ∠AED are right angles.
Answer:
ergyth6eu56g
Step-by-step explanation:
Answer:
Given that events A and B are independent with P(A) = 0.46and; P(B|A)=0.85 determine the value of P(B) , rounding to the nearest thousandth , if necessary .
Step-by-step explanation: