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AleksAgata [21]
2 years ago
8

ZAHB and ZAHG are vertical angles. **The two angles are highlighted in blue and red**

Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Already answered here: brainly.com/question/26807360

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Given: PSTK - trapezoid m∠P = 90°, SK=13 PK = 12, ST = 8 Find: Area of PSTK
bazaltina [42]

Answer:

Area of PSTK = 50

Step-by-step explanation:

△SPK:

SK = 13, PK = 12

13^2 - 12^2 = SP^2

SP = 5

(8 + 12) /2 x 5 = 50  


5 0
3 years ago
Dy/dx of ln(x/x^²+1)
exis [7]

\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}

5 0
3 years ago
Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22
natka813 [3]
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>
7 0
3 years ago
Which of the following is the ratio of 5 cm to 10 km​
pshichka [43]

Answer:

1/200000

Step-by-step explanation:

first 10 km equals to 1000000cm

so 5/1000000cm

equals to 1/200000

3 0
2 years ago
Each time Henry visits the art museum he pays $15 for parking and $25 for admission.
Flauer [41]

Answer:

A

Step-by-step explanation:

Since it says 'each time ' you would say 15x and 25x. Since that isnt an answer you add them together and get 40x. That eliminates B and C. Next you would do the other side of the equation. He only pays the membership one time but pays for parking every time he goes so it would be 110 and 10x

8 0
3 years ago
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