All categories

3 years ago

How to find the variable

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

X=13 since the triangle adds up to 180, you know one side is 90 degrees and the other two angles are equal to each other because the opposite sides are equal to each other. the two angles must add up to 90 degrees so you divide by 2 and you get 45 degrees for each angle E and G and you set 3x+6=45. you subtract both sides by 6 and then you have 3x=39 and now divide both sides by 3 and x=13.

You might be interested in

4m+5+5m+40=180 Help!!!

OLEGan [10]

First, let's put all of the variables together.

4m + 5m + 5 + 40 = 180.

Add them.

M is the same multiplier, so we can add 4 and 5 together to make 9m.

Add 5 and 40.

9m + 45 = 180.

From here, we can go two ways. I will show the first way, which is my personal preference.

We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.

9m/9 = 1m

45/9 = 5

180/9 = 20

Plug it in--

m + 5 = 20.

Subtract the 5 from both sides to isolate m.

m = 15.

4 0

3 years ago

Read 2 more answers

Find the area of the shaded region.

lbvjy [14]

Answer:

$48\pi\\\approx 150.796$

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

$A=(\pi)(r^2)$

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. ( $\pi$ ) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

$A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)$

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

$A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)$

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

$A_l-A_s\\=64\pi - 16\pi\\=48\pi$

$\approx150.796$

5 0

2 years ago

Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).

andrey2020 [161]

Formula of the slope of a linear function:

m = (y₂ - y₁)/(x₂ - x₁)

m= (-1 - 6)/[0- (-5)]

m= -7/5 This is the slope requested

7 0

3 years ago

Which statements are true of the graph of h(x) = 3/4-4? Check all that apply.

Dmitriy789 [7]

Answer:

the answers are : A , B , and E. i just took the assignment.

Step-by-step explanation:

5 0

3 years ago

Find the missing length of the triangle. *

Amanda [17]

Answer:

50 ft

Step-by-step explanation:

This is the pythagorean theorem, so you should use the formula...

a squared + b squared = c squared

Then substitute in the numbers... (remember, a and b are the legs, and c is the hypotenuse)

14 squared + 48 squared = c squared

14 squared = 14 x 14 = 196

Now we have 196 + 48 squared = c squared

48 squared = 48 x 48 = 2,304

Now we have 196 + 2,304 = c squared

Add them together - 2,304 + 196 = 2,500

Now we have 2,500 = c squared

We find the square root of 2,500 which is 50

You should now have 50 = c

That is your answer. Don't forget to add units.

50 ft is your hypotenuse (c)

I hoped this helped

6 0

3 years ago

Read 2 more answers