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Dimas [21]
3 years ago
9

Help, please show how to find x, thank you

Mathematics
1 answer:
Stells [14]3 years ago
8 0
Notice the tickmark on the angles, those angles are equal to each other.

now, notice the angle at the very top, the large triangle is really sharing it with smaller-inscribed triangle, and therefore is equal on both triangles.

therefore, the larger triangle, is similar with smaller-inscribed triangle by AA.

what the dickens does that mean?

\bf \cfrac{large}{small}\qquad \cfrac{4+5}{4}=\cfrac{5+x}{5}\implies \cfrac{9}{4}=\cfrac{5+x}{5}\implies 45=20+4x
\\\\\\
25=4x\implies \cfrac{25}{4}=x\implies 6\frac{1}{4}=x
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8over 20= y over 60 what is y
Pachacha [2.7K]
The answer to the problem is 24
6 0
3 years ago
Find all solutions in the interval [0, 2π). tan x + sec x = 1
svp [43]
Use the identity 
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x  = 1 + tan^2x - 2 tan x
0 = -2 tanx 

tan x = 0 

x =  0, π 
π is an extraneous root because sec 180 = -1 
So the answer  is 0 degrees
6 0
3 years ago
What is the answer Factorise: 2x² +7x+6.<br><br>​
Mila [183]

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

7 0
3 years ago
Read 2 more answers
Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profi
harkovskaia [24]

Answer:

298

Step-by-step explanation:

given data

total friend = 4

total profit in the first month = 438

two months each friend profit = 184

solution

we consider here total profit second month is = x

so

profit second month = 184 × 4 - 438

x = 736 - 438

x = 298

so that here profit that car wash making the second month is 298

4 0
3 years ago
This is due by 12:00 please help
julsineya [31]

Answer:

Step-by-step explanation:

\frac{1}{x^{n} } =x^{-n}

4 0
3 years ago
Read 2 more answers
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