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marshall27 [118]
3 years ago
7

What is the value of x?​

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

The top smaller sub-triangle and the whole big triangle are similar. This means that the correspondant sides are in proportion. So, we have

6\div 5 = 54\div 3x+12

Which implies

6(3x+12)=5\cdot 54 \iff 3x+12=\dfrac{5\cdot 54}{6}=45

So, we have

3x+12 = 45 \iff 3x = 33 \iff x=11

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ABC ~ DEF and the scale factor from ABC to DEF is 1/2, what are the lengths of DE
Likurg_2 [28]

Answer:

13

Step-by-step explanation:

ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.

In this case the scale factor is 1/2. That means DEF is half ABC.

Since AB = 26 then DE must be 26/2 = 13

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3 years ago
Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?
Fed [463]

Average rate of change of the function: -\sqrt{3}

Step-by-step explanation:

The average rate of change of a function f(x) can be calculated as:

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where:

x_1, x_2 are the x-values of the interval taken into account to evaluate the rate of change of the function

f(x_1),f(x_2) are the values of the function at those points

In this problem, we have:

x_1=8\\x_2=64

The function is f(x)=-x\sqrt{3}, so

f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}

So, the average rate of change in this interval is:

r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}

Learn more about rates of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

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3 years ago
In Kayllie'srecipe for lemonade, the ratio of lemons to water is 7 to 4. People are complaining that the lemonade is too weak. W
N76 [4]

Answer:

C

Step-by-step explanation:

Here are the options to this question :

A) 5 to 3

B) 7 to 5

C) 8 to 4

D) 8 to 5

The proportion of lemons in the lemonade is 7 while the proportion of water in the lemonade is 4.

In order to make the lemonade stronger, the proportion of lemon in the mixture should be increased or the proportion of water in the mixture should be reduced.

Looking at the options, option C is correct. The proportion of lemon is increased

7 0
2 years ago
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