Answer:
Step-by-step explanation:
There are three right-angled triangles and two of them have x in their dimensions:
The largest one with one side at 48+x and another at 10
The smallest one with one side at x and another at 10
Those 2 right-angled triangles are similar because of AAA - both have a right-angle and share a common angle.
So their sides are in the same ratio:
x / 10 = 10 / (48+x)
x*(48+x) = 10*10
x^2 + 48x - 100 = 0
(x+50)*(x-2) = 0
x = -50 or 2
As length cannot be negative, x = 2
Answer:
Cody has solved (12 × 12) = 144 problems.
Step-by-step explanation:
For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get,
2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)
Answer:
Area of the parallelogram =base×height
area of parallelogram =3cm×2cm
area of parallelogram = 6cm²
Answer:
3.3
Step-by-step explanation:
Because √11 cannot be re-written as the ratio of two integers, it's irrational.
Using a calculator, we find that √11 = 3.3166. We must round this off to the nearest tenths place: 3.3.
Answer:
x = 8,
Step-by-step explanation:
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for it is a denominator. Multiply both sides with the product of the two denominators: :
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Multiply both sides by one over the coefficient of x:
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