Solve the equation. Select all equivalent forms of the answer.

HELP ASAP Solve for x. Show or explain your work.

irinina [24]

Answer:

$x=4.5$

Step-by-step explanation:

From AAA, both triangles in this figure are similar. Therefore, we can set up the following proportion:

$\frac{x}{9}=\frac{x+3}{15}$ or $\frac{x}{9}=\frac{3}{6}$ .

Cross-multiplying, we get:

$6x=9(3),\\6x=27,\\x=\frac{27}{6}=\fbox{$4.5$}$ .

7 0

3 years ago

I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:

ELEN [110]

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

An angle with a measure of 39 degrees
The angles opposite side length
The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

an angle with a measure of 46 degrees
the hypotenuse which has a length of 28
and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get x = 19.5 ( rounded )

9.

We are given :

an angle with a measure of 51 degrees
its opposite side length with a length of 8
the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

an angle with a measure of 24 degrees
the hypotenuse which has a length of 31
the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )

6 0

2 years ago

What is the perimeter of a rectangle with a length of 6cm and a width of<br> 5cm?

Nataliya [291]

Answer:

perimeter = 22 cm

Step-by-step explanation:

perimeter = 2(L + W) = 2(6 + 5) = 22 cm

8 0

3 years ago

Read 2 more answers

Whch expression could be used to change 8 kilometers per hour to meters per minute

vazorg [7]

Answer:

133.33 meters per minute.

#FreeMelvin

5 0

3 years ago

If f(x) = - x + 4 and g(x) = x ^ 2 - 5 , then f(g(-2))=?

kkurt [141]

Answer:

Step-by-step explanation:

using your f(x) I want to show you how to plug in different things itnot he function.

f(x) = -x + 4

f(1) = -1 + 4 = 3

f(2) = -2 + 4 = 2

f(m) = -m + 4

f(abc) = -(abc) + 4

f(h(x)) = -h(x) + 4

Does that help? what if you replaced h(x) with g(x)? Of course you already have that x so you could make it a little simpler as well. Let me know if you don't quite get it.

5 0

3 years ago