(1)
we are given

we can find for y
multiply both sides by 6


we can see that y is directly proportional to x
so, option-D........Answer
(2)
y varies inversely with x
so, we can write it as

now, we are given
y=5 when x=2.5
so, we can plug it here

and then we can solve for k


now, we can plug back

we can plug x=20

.............Answer
(3)
we are given
The current, I, in a circuit varies inversely with the resistance, R
so, we can write it as

we have R=12 when I=3
so, we can plug it

now, we can solve for k


now, we can plug back

we can plug R=6

................Answer
Answer:
SAA theorem
Step-by-step explanation:
The given data with regards to ΔLET and ΔPVC are;
ET ≅ VC
∠L ≅ ∠P
∠E ≅ ∠V
From the given relationship, we have that two angles and the adjacent (nonincluded) side to the two angles in ΔLET are congruent to the corresponding two angles and adjacent (nonincluded) side of ΔPVC
Therefore, the congruence theorem that can be used to prove that the two triangles are congruent is the Side-Angle-Angle (SAA) congruency theorem
The SAA congruency theorem states that, two triangles that have two angles and a nonincluded side on one triangle being congruent to the corresponding two angles and a non included side on the other triangle, then the two triangles are congruent.
Answer:
The first 5 terms are;
-2, 2, 13,38 and 91
Step-by-step explanation:
Here, we want to write the first 5 terms of the sequence.
We already have the first term as 1
Now, we need the 2nd term
Putting two in place of n, we have ;
2f(1) + 3n
= 2(-2) + 3(2) = -4 + 6 = 2
For the 3rd term, put 3 in place of n
2f(2) + 3(3)
sine f(2) = 2, we have
2(2) + 9 = 4+ 9 = 13
For the fourth term, put 4 in place of n, we have
2f(3) + 3(4)
since f(3) = 13
we have; 2(13) + 12 = 26 + 12 = 38
For the 5th term, put 5 in place of n, we have
2f(4) + 3(5)
since f(4) = 38, we have
2(38) + 15 = 76 + 15 = 91
Answer:
Given:
Cost = £ 800
Tax = 20%
To find:
The total cost
Solution:
Total cost = Cost + Tax
Tax = 20 % of cost
20 / 100 * 800
Tax = £ 160
Hence,
Total cost = £ 800 + £ 160
Total cost = £ 960
Alright give me a second ok