The length of side BD, given that AD = 5 and CD = 20 is 10 (Option A)
<h3>Data obtained from the question</h3>
- Length of side AD = 5
- Length of side CD = 20
- Length of side BD =?
<h3>How to determine the length of side BD</h3>
Since the triangles are similar, we can obtain the length of side BD as illustrated below:
CD / BD = BD / AD
20 / BD = BD / 5
Cross multiply
BD × BD = 20 × 5
BD² = 100
Take the square root of both sides
BD = √100
BD = 10
Thus, the length of side BD is 10
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Answer:
The proportion is = , and the length of the unknown side is or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is . MK and KF are corresponding sides, and their proportion is in which x represents the missing side. The proportions are equal, so = . Multiply both sides by 84 to isolate the variable, and you'll get , which is or .
The answer is $1.80. You would take 25% of 3, which is 75, and subtract it from 3. That leaves you with $2.25, which you take 20% off, which is 0.45, and subtract that from 2.25. That leaves you with a grand total of $1.80. Hope that this helped!
Answer:
x=20
Step-by-step explanation:
This is a right triangle, so we can use the pythagorean theorem to help us find x.
The the theorem states that the sum of the legs squared is equal to the length of the hypotenuse squared.
Thus, our equation is:
x^2+48^2=52^2
Simplify.
x^2+2304=2704
Subtract 2304 from both sides.
x^2=400
Find the square root of both sides.
x=20
Answer:
24x²y²
Step-by-step explanation:
For k=0 to n, the k-th term of (a+b)^n is ...
(nCk)·a^(n-k)·b^k
You want the k=2 term for the n=4 expansion with a=2x and b=-y.
Then the third term of the expansion is ...
(4C2)·(2x)^2·(-y)^2 = 6·4x^2·y^2 = 24x^2y^2
_____
nCk = n!/(k!(n-k)!)
4C2 = 4!/(2!·2!) = (4·3)/(2·1) = 6