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tino4ka555 [31]
4 years ago
8

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right

angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10.
What is the value of x?

a. 2 units
b. 3 units
c. 5 units
d. 8 units
Mathematics
1 answer:
Anika [276]4 years ago
3 0

Answer:

C. - X = 5 units

Step-by-step explanation:

We need to solve for x from the given figure.

In ΔADB and ΔCDB

 ∠ABD=∠BCD         (Corresponding angle of two right triangle)

 ∠ADB=∠CDB         (Each 90°)

∴  ΔADB ≈ ΔCDB  By AA similarity

If two triangles are similar then ratio of their corresponding height are same.

Substitute the value of side into the expression

Cross multiply and solve for x

x can't be negative because side of triangle is positive.

Hence, The value of x is 5 units.

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Please<br> <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21-%28n%2B1%
Nana76 [90]
Hi there!
We are given the function - 
\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}
and are told to find the limit of the function. 
The limit would be n approaches infinity, giving us an answer of -1. 
Here is how you solve this:
\frac{(n+1)!}{n!-(n+1)!}
Divide by (n + 1)! - 
\frac{1}{\frac{1}{n+1}-1 }
Now, we can refine the function - 
\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }
Now, just simplify. This gives us - 
\lim_{n \to \infty} (1)
We can use the rule \lim_{x \to a}c=c to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!


3 0
3 years ago
Hey can you guys help me please help
yawa3891 [41]
The triangle on the left area is 18 because the area of a triangle is 1/2 b times h so 12 times 3 times 1/2 equals 18.you then cut a triangle from the quadrilateral to make into a triangle.The triangle is the same height has other triangle so its area is 18.Since you took three for base of left and right triangle you subtract 6 from 1 to make it your base of 8 and your height is 12 and 12 tikmes  8 is 96 so 18+18+96=132 so our answer is 132.
4 0
4 years ago
What's 1469/36744 divided by 4
Romashka [77]
0.03997932 that’s the answer
6 0
4 years ago
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Please help me quick ASAP
ddd [48]
I believe the answerer is C
8 0
4 years ago
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Write the equation for the perpendicular bisector of a segment that has endpoints (–1, 10) and (3, 6).
andrezito [222]

PLEAE ADD THE PICTURE TOO

7 0
3 years ago
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