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2 years ago

I will mark brainlist to whoever answers first

Mathematics

1 answer:

laila [671]2 years ago

4 0

Answer:

∠V = 32°

Step-by-step explanation:

VW = UV

⇒ Isosceles triangle. So, the angles opposite sides are equal.

∠W = ∠U

∴ ∠W = ∠U = 74°

<h3>Angle sum property</h3>

Sum of all angles of triangle = 180

74 + 74 + ∠V = 180

148 + ∠V = 180

∠V = 180 - 148

∠V = 32°

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If f(x) = 7+ 4x and g(x) = 1/2,

olchik [2.2K]

270

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ f(x) = 7 + 4x \ }$
$\boxed{ \ g(x) = \frac{1}{2x} \ }$

<u>Question:</u>

What is the value of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }$

<u>The Process:</u>

The form of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ }$ means that f(x) is divided by g(x).

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}$

Let us solve the problem.

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }$

Thus, we get $\boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}$

And now, we can calculate the value of $\bigg( \frac{f}{g} \bigg)(5)$ .

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }$

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }$

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}$

<h3>Learn more</h3>

If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
Solve for the value of the function composition brainly.com/question/2142762
If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

#learnwithBrainly

5 0

3 years ago

Show a rectangle that is 1/2 meters long and is 3/10 meters wide

andreev551 [17]

________________
  I I not drawn to scale
3/10 I I
I I
I I
________________I
1/2

3 0

3 years ago

A thief steals an ATM card and must randomly guess the correct five-digit pin code from an 8 key keypad repetition of digits is

Rus_ich [418]

Answer:

1/32768

Step-by-step explanation:

We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot . Hence:

8*8*8*8*8 = $8^{5} = 32768$

So there are 32768 different combination.

But correct guess on the first try is just only 1 time, so its' probability:

1/32768

7 0

3 years ago

What is the theoretical probability of spinning an even number?

Marina86 [1]

Answer:

4/9 probability you will get an even number

Step-by-step explanation:

The theoretical probability of spinning an even number is 4/9, since there are 4 even numbers in the spinner

5 0

3 years ago

Read 2 more answers

graph the line that passes through the points (-8,9) and (4,-3) what are the x and y intercepts for this line someone help pleas

VashaNatasha [74]

Answer:

(0,1)- y intercept (1,0) x intercept

Step-by-step explanation:

first lets write this equation in slope intercept form: y=mx+b

m=slope

b=y intercept

slope formula:

(y2-y1)/(x2-x1)

y2=-3

y1=9

x2=4

x1=-8

(-3-9)/(4--8)=-12/12=-1

slope=-1

hence

y=-1x+b

substitute "x" as 4 and "y" as -3

-3=-1(4)+b

-3=-4+b

1=b

y=-x+1

1=y intercept

and

0=-x+1

-1=-x

1=x

1=x intercept

4 0

3 years ago