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Gennadij [26K]
3 years ago
13

Solve for x. The triangles in each pair are similar.

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0
Start off by knowing that the two triangle are congruent. By knowing this you can turn the given numbers into fractions.

9/72 = 7/7x+7

then cross multiply, which equals

63x + 63 = 504

then solve this equation

63x = 441 - subtract 63 from both sides
x = 7 - divide by 63 from both sides

so your answer is x=7
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MA_775_DIABLO [31]

I believe that it is 45 degrees. i could be wrong, so make sure to check!

5 0
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You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th
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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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6 0
3 years ago
What is the value of x?<br> 30°<br> 130<br> to
Shalnov [3]

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20

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Most likely this is a triangle triangle have 180 always

6 0
3 years ago
Find the derivative of f(x) = 12x^2 + 8x at x = 9.
zvonat [6]

Answer:

224

Step-by-step explanation:

We will need the following rules for derivative:

(f+g)'=f'+g' Sum rule.

(cf)'=cf' Constant multiple rule.

(x^n)'=nx^{n-1} Power rule.

(x)'=1 Slope of y=x is 1.

f(x)=12x^2+8x

f'(x)=(12x^2+8x)'

f'(x)=(12x^2)'+(8x)' by sum rule.

f'(x)=12(x^2)+8(x)' by constant multiple rule.

f'(x)=12(2x)+8(1) by power rule.

f'(x)=24x+8

Now we need to find the derivative function evaluated at x=9.

f'(9)=24(9)+8

f'(9)=216+8

f'(9)=224

In case you wanted to use the formal definition of derivative:

f'(x)=\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}

Or the formal definition evaluated at x=a:

f'(a)=\lim_{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}

Let's use that a=9.

f'(9)=\lim_{h \rightarrow 0} \frac{f(9+h)-f(9)}{h}

We need to find f(9+h) and f(9):

f(9+h)=12(9+h)^2+8(9+h)

f(9+h)=12(9+h)(9+h)+72+8h

f(9+h)=12(81+18h+h^2)+72+8h

(used foil or the formula  (x+a)(x+a)=x^2+2ax+a^2)

f(9+h)=972+216h+12h^2+72+8h

Combine like terms:

f(9+h)=1044+224h+12h^2

f(9)=12(9)^2+8(9)

f(9)=12(81)+72

f(9)=972+72

f(9)=1044

Ok now back to our definition:

f'(9)=\lim_{h \rightarrow 0} \frac{f(9+h)-f(9)}{h}

f'(9)=\lim_{h \rightarrow 0} \frac{1044+224h+12h^2-1044}{h}

Simplify by doing 1044-1044:

f'(9)=\lim_{h \rightarrow 0} \frac{224h+12h^2}{h}

Each term has a factor of h so divide top and bottom by h:

f'(9)=\lim_{h \rightarrow 0} \frac{224+12h}{1}

f'(9)=\lim_{h \rightarrow 0}(224+12h)

f'(9)=224+12(0)

f'(9)=224+0

f'(9)=224

8 0
3 years ago
3x = -4y<br><br> X = -12/y<br><br> X = -3/4y<br><br> X = -4y/3<br><br> X = -12y
WINSTONCH [101]
The answer is x=-3/4y
5 0
3 years ago
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