Ask question

Ask question

All categories

2 years ago

8

Set up a proportion to solve for x in the following similar triangles.

1 answer:

Alexus [3.1K]2 years ago

3 0

Answer:

add then subtract i think

Step-by-step explanation:

You might be interested in

7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

To get x, we will use tan. So we will get,

$tan(45^o) = \frac{4}{x}$

We know the value of $tan(45^o) = 1$ . By substituting the value we will get,

$1 =\frac{4}{x}$

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

$(1)(x) = (\frac{4}{x}) (x)$

$x = 4$

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

we know the value of $sin(45^o) =\frac{\sqrt{2}}{2}$

By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

By cross multiplying we will get,

$(\sqrt{2}) (y) = (4)(2)$

$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

8 0

2 years ago

Read 2 more answers

Population: In a city of 40,000 people, there are 15,000 people under 25 years of age. What percent of the

egoroff_w [7]

Answer:

26 percent would be your answer.

6 0

2 years ago

Figure A is a scale image of Figure B. What is the value of x?

kari74 [83]

Hey there! :)

Answer:

x = 21 units.

Step-by-step explanation:

Since we know Figure A is just Figure B scaled, we can set up a proportion:

$\frac{45}{35}= \frac{27}{x}$

Cross multiply to solve for x:

45 · x = 35 · 27

45x = 945

Divide both sides by 45:

x = 21 units.

4 0

2 years ago

F(x)=x² <br> G(x)=(x-6)²<br> Complete the description of the transformation

artcher [175]

6 units to the right

5 0

3 years ago

Read 2 more answers

Solve |4| + |11 - 6| - |-2|

Pie

Answer:

...........the answer is 7?!

5 0

3 years ago

Read 2 more answers