Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4

(Score for Question 3: ___ of 5 points) The measure of ∠2=8x+10 and the measure of ∠4=42+6x. Find the measure of ∠4. Show your w

Svetradugi [14.3K]

Answer:

∠4 = 78°, assuming out measurements have been taken in degrees.

Step-by-step explanation:

If ∠2 = 8x + 10 and

∠4 = 42 + 6x

We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.

8x + 10 = 42 + 6x Take away 6x from both sides

2x + 10 = 42 Take 10 away from both sides to combine like terms

2x = 32 Divide both sides by 2 to isolate x

x = 16

Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x

∠4 = 42 + 6x

∠4 = 42 + 6(6)

∠4 = 42 + 36

∠4 = 78°, assuming out measurements have been taken in degrees.

4 0

3 years ago

In order to join a flying club,there is a $200 annual fee and $20 a month fee to maintain the flying club runaway.Write an equat

Fudgin [204]

Answer:

The equation modelling the situation is $T=200+20m$ .

After 10 months the cost would be $400.

Step-by-step explanation:

Given:

Annual Fee of flying club = $200

Monthly fee = $20

We need to write an equation for total cost.

Solution:

Let the number of months be denoted 'm'

Let Total cost be denoted by 'T'

Now we can say that:

Total cost is equal to sum of Annual Fee of flying club plus Monthly fee multiplied by number of months.

framing in equation form we get;

$T=200+20m$

Hence The equation modelling the situation is $T=200+20m$ .

Now given:

We need to find the number of months when total cost will be $400

So we will substitute T= 400 in above equation.

$200+20m=400$

Subtracting both side by 200 we get;

$200+20m-200=400-200\\\\20m=200$

Dividing both side by 20 we get;

$\frac{20m}{20}=\frac{200}{20}\\\\m=10 \ months$

Hence After 10 months the cost would be $400.

6 0

3 years ago

What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5?

noname [10]

Answer:

y=6/5x-8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

Since we are already given the slope of the line, we can immediately plug it into the equation:

y=6/5x+b

Now we need to find b

Since the equation passes through the point (5, -2), we can use it to solve for b

Substitute 5 as x and -2 as y:

-2=6/5(5)+b

Multiply

-2=6+b

Subtract 6 from both sides

-8=b

Substitute -8 as b.

y=6/5x-8

Hope this helps!

6 0

2 years ago

Which transformation is a direct isometry?

Scilla [17]

In mathematics, an isometry is a distance-preserving injective map between metric spaces. A composition of two opposite isometries is a direct isometry.
Hope it helped!!

3 0

3 years ago

Find the slope of the line between the points (0, 4) and (3, 6).

alex41 [277]

The answer is e, atleast I'm pretty sure its been awhile since I've done slope.

8 0

3 years ago