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Zigmanuir [339]
3 years ago
7

state if the triangles in each pair of similar. If so, State how you know that they are similar and complete the similarity stat

ement​

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

Similar, AA similarity, ΔAKL

Step-by-step explanation:

BC and KL are parallel.  Therefore, ∠B and ∠K are alternate interior angles, and ∠C and ∠L are also alternate interior angles.  Alternate interior angle are congruent, so by AA similarity, ΔABC ~ ΔAKL.

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For the real-valued functions f(x)=2x+1 and g(x)=sqrt(x-1), find the composition f o g and specify its domain using interval not
Anettt [7]

Answer:

fog = 2√(x-1) + 1

Domain = [1, \infty)

Step-by-step explanation:

Given the functions  f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog

fog = f(g(x))

f(g(x)) = f(√(x-1))

f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)

f(√(x-1)) = 2(√(x-1))+1

f(√(x+1)) = 2√(x-1) + 1

fog = 2√(x-1) + 1

<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>

If x-1≥0

x≥0+1

x≥1

This means the range of variable x must be values of x greater than or equal to 1.

Domain = [1, \infty)

8 0
3 years ago
Can some figure this out
NeX [460]
Hello,

As 4²+(5/2)²=22.25=89/4 (Pytagorean theorem)
Perimeter of the triangle =2*√89 /2 +5 =5+√89
Lateral area: 18*(5+√89)
Total area= 90+18√89+ 4*5/2 *2 =110+18√89 ≈279.811..(ft²)
8 0
3 years ago
A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
The sum of two and the quotient of a number I and five.
Alona [7]

Answer:

2+n/5

Step-by-step explanation:

sum=plus

quotient=divide

number=n

4 0
3 years ago
Adding fractions <br> 5 over 10 + 1 over 3
Mashcka [7]

Answer:

5/6

Step-by-step explanation:

5/10 can be simplified as 1/2

1/2 + 1/3 = 3/6 + 2/6 = 5/6

8 0
2 years ago
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