Answer:
Step-by-step explanation:
I am quite not sure what do you mean by corresponding.
like, what side should RS in ΔRQS would be the side in ΔRSP
if so, then the answer would be PR
we know this because RS is the hypotenuse of ΔRQS
and PR is the hypotenuse of ΔRPS
But if you meant by the question that which side would be equal to the side in the bigger triangle, then it would be RS itself, because it's a common side in both triangles
hope this helps!
Answer:
When x = 10, they will both be y = 60
(10, 60)
Step-by-step explanation:
2(10) + 40 = 60
4(10) + 20 = 60
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
Answer:
x = 6 months.
The equation is given by $45 + ($49.45 × x) = ($56.95 × x).
Step-by-step explanation:
i) Let x be the number of months of Internet Service purchased till the Fast
Internet charges and Quick Internet charges become the same.
ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)
iii) Charges for Quick Internet for x months is given by ($56.95 × x)
iv) According to the first statement we will now equate the equations in ii)
and iii) and solve for x.
Therefore, $45 + ($49.45 × x) = ($56.95 × x)
45 + 49.45 x = 56.95 x
Therefore (56.95 - 49.45) x = 45
7.50 × x = 45
Therefore x = 45 ÷ 7.5 = 6
Answer:
-23/4 ft
Step-by-step explanation:
Combine -2 1/2 ft with -3 1/4 ft. The result will be -5 3/4 ft, or -23/4 ft.
