All categories

3 years ago

Please help 25 points What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

Fiesta28 [93]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

We can find RT

sin theta = opposite / hypotenuse

sin 60 = 2 sqrt(3) / RT

RT = 2 sqrt(3) / sin 60

RT = 2 srt(3) / ( sqrt(3) / 2)

RT = 4

tan theta = opp/ adjacent

tan 45 = x / RT

tan 45 = x / 4

4 tan 45 = x

4 * 1 = x

4 = x

You might be interested in

Find the slope of every line that is parallel to the line on the graph.

melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : $Slope=\frac{y_2-y_1}{x_2-x_1}$

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

$Slope=\frac{-2-(-1)}{0-5}$

==> simplify numerator and denominator

$slope = \frac{1}{-5}$

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0

3 years ago

Elijah earns $200 for 8 hours what is the unit rate per hour

Fiesta28 [93]

Answer:

$25 per hour

Step-by-step explanation:

You would divide 200 by 8 and you'll get 25

6 0

4 years ago

Question Help

stira [4]

<span>9/25 and 28/45 are both rather large numbers as denominators, so you can expect your LCD to be a bit large as well. the way i find the LCD is by trial and error. i take the biggest of the denominators and multiply it by low numbers (1, 2, 3, etc.) until i find one that works for both.

45*1 = 45, which 25 doesn't go into evenly
45*2 = 90, which when divided by 25, results in 3.6, aka not a whole number
45*3 = 135, which divided by 25 results in 5.4
45*4 = 180, which divided by 25 results in 7.2
45*5 = 225, which is promising because it ends with "25", and results in 9

so your LCD, which is divisible by both 45 and 25, is 225.</span>

8 0

3 years ago

In an isosceles triangle, the measure of a base angle is (2x+5)° . At the vertex the measure of an exterior angle is (5x-3)°

stich3 [128]

Answer:51.14

Step-by-step explanation:since its an isosceles triangle all interior angles are gonna be equal the exterior angle plus interior angle is will be kept equal to 360

2x+5+5x-3=360

7x+2=360

7x=358

x=51.14

5 0

3 years ago

LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Dete

svp [43]

Answer:

$m\angle L = 111\degree \\m\angle M = 69\degree$

Step-by-step explanation:

Since, angle L and angle M are supplementary.

$\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\$

6 0

3 years ago