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3 years ago

Question 2

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

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What is the exact value of cos 30° ? Enter your answer, as a simplified fraction, in the box.

dezoksy [38]

I think this is the answer cos 30=3–√2

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3 years ago

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What number could replace kkk below? \dfrac{k}{100} = \dfrac{1}{10} 100 k = 10 1 start fraction, k, divided by, 100, end fra

Ivanshal [37]

Answer:

Step-by-step explanation:

Given the equation;

$\dfrac{k}{100} = \dfrac{1}{10}$

We are to find the value of k.

Cross multiply;

$\dfrac{k}{100} = \dfrac{1}{10} \\10 \times k = 100 \times 1\\10k = 100\\$

Divide both sides by 10

$10k/10 = 100/10\\k = 10$

Hence the value of k is 10

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2 years ago

Please I need some help!

Schach [20]

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Step-by-step explanation:

Given

$f(x) =6x-2\\g(x)=2x+4$

we have to find

a. (f+g)(x)

$(f+g)(x)=f(x)+g(x)\\=(6x-2)+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2$

b. (f-g)(x)

$(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6$

Hence,

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Keywords: Functions, Operations on Functions

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w

DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

$A=P(1+\frac{r}{100})^{n}$

Where A = Future value

P = Present value

r = rate of interest

n = time in years

Now we put the values

$A=670(1+\frac{7.1}{100})^{15}$

$A=670(1+0.071)^{15}$

$A=670(1.071)^{15}$

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

$A=670(1+\frac{6.5}{100})^{15}$

$A=670(1+0.6.5)^{15}$

$A=670(1.065)^{15}$

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

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3 years ago

A family buys groceries for $154.35, including $10.37 in taxes. The bill includes $27.83 worth of items that are not taxable. Fi

mart [117]

154.35 - 10.37 = 143.98
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x = 0.0893

Change x to percent form to get 8.93% tax rate.

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3 years ago