What is the slope and what does the slope represent in this situation

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.

=> x + 48° = 66°, x = 18°.

The required measure of the angle x is given as 18°.

Given that,
A side of the triangle below has been extended to form an exterior angle of 66°

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°

Thus, The required measure of the angle x is given as 18°.

Learn more about Angles here: https://brainly.com/question/13954458

#SPJ5

Answer:

280/80 = 28/8 = 7/2 = 3.5 cm

Step-by-step explanation:

the ratio is 1cm/80mi = a cm/280mi

so you get 280cm * mi = 80mi*a cm

so a = 280/80 = 3.5  

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

Answer:

720

Step-by-step explanation:

60×12=720 so the monthly yearly coast would be 720

Answer:

24x1.35=32.4

He should have recieved $32.40 in change.

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

Answer: D. 2/3

Step-by-step explanation:

There are 15 markers in total. Out of these 15 markers, there are 5 blue ones.

If Mark reaches into a bag to pull out one marker and hopes it is not blue, there would be a 2/3 probability as 2/3 of the markers are not blue.

Answer:

3/2

Step-by-step explanation:

the equation to find the slope is (y2 - y1) / (x2 - x1) so if you plug in the two points (9 - 6) / (3 - 1) you get 3/2

Answer:

[tex]\huge\boxed{\text{Slope: } \frac{3}{2}}[/tex]

Step-by-step explanation:

In order to solve for the slope between two points, we need to note that the slope between two points will be the change in y divided by the change in x, more commonly represented by this formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

We can find the change in y and change in x by subtracting the second values from the first values.

The second y value is 9, and the first is 6, so the total change is [tex]9 - 6 = 3[/tex].

The second x value is 3, and the first is 1, so the total change is [tex]3 - 1 = 2[/tex].

We divide the change in y by the change in x:

[tex]\frac{3}{2}[/tex]

Hope this helped!

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

Answer:

Option 1 , 2 & 5

Step-by-step explanation:

4 & 16 are perfect squares. So , 1/4 & 1/16 are also perfect squares. But 2 , 8 & 10 are not perfect squares. So root of 1/2 , 1/8 & 1/10 are irrational numbers.

Verification :-

1)[tex] \sqrt{ \frac{1}{10} } = \frac{ \sqrt{1} }{ \sqrt{10} } = \frac{1}{ \sqrt{2} \times \sqrt{5} } [/tex]

Hence , it is irrational.

2)[tex] \sqrt{ \frac{1}{8} } = \frac{ \sqrt{1} }{ \sqrt{8} } = \frac{1}{2 \sqrt{2} } [/tex]

So , it is irrational.

3)[tex] \sqrt{ \frac{1}{16} } = \frac{ \sqrt{1} }{ \sqrt{16} } = \frac{1}{4} [/tex]

So , it is rational.

4) [tex] \sqrt{\frac{1}{4} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]

So it is rational.

5) [tex] \sqrt{ \frac{1}{2} } = \frac{ \sqrt{1} }{ \sqrt{2} } = \frac{1}{ \sqrt{2} } [/tex]

Hence it is irrational.

Answer:

You first have to read on the coordinates where the curve and the straight line meet or cuts across

a.) 53

b.) 13

Answer:

Step-by-step explanation:

Given function:

To find

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

Solving for b:

See attached

Answer

10.25

Step-by-step explanation:

pls mark me as brainliest its required :)

Answer: 3.4%

Step-by-step explanation:

divide 258 and 74 then round that answer to the nearest tenth place.

Answer:  28.7%

Step-by-step explanation:

74 ÷ 258 = 0.2868

0.2868 --->  28.68  --->  28.7%

Answer: 15 remainder 3.

Step-by-step explanation:

Answer:

100%

Step-by-step explanation:

they are all Bb. the capital B means that it is a dominant gene and the lowercase b won't "beat" the dominant gene. So they will all be brown

Answer:

50%

Step-by-step explanation:

50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).

Answer:

s could be 3

Step-by-step explanation:

Answer:

a = w/p

Step-by-step explanation:

To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.

Answer:

a = w/p

Explanation:

Step 1: Multiply both sides by a.

ap = w

Step 2: Divide both sides by p.

ap/p = w/p

a = w/p

Answer: y=x+2

Step-by-step explanation:

ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).

(0, 2) is the y-intercept, which will replace b.

y=mx+2

the slope of the line is 1.

y=1x+2

y=x+2

Answer:

im pretty sure that it is -48 there is a chance im wrong

Step-by-step explanation:

.

Answer:

Activity 1:-

1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So

[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]

[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).

2) Area of a parallelogram = Altitude × Base

Base = 10 cm. So ,

[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).

3) Let the fare of 1 unit distance be f

So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).

4) Let the distance be 'D' , speed be 's' & time be 't' .

We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).

5) We know that area of a square (A) = side² (s²)

[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).

Activity 2:-

1) p is directly proportional to sum of u & w.

⇒ p ∝ u + w

⇒ p = k (u + w)

Putting the values of p , u & w

⇒ 14 = k(4 + 3)

⇒ 7k = 14

⇒ k = 14/7 = 2

2) r is directly proportional to square of t.

⇒ r ∝ t²

⇒ r = k × t²

Putting the values of r & t

⇒ 16 = k × 16²

⇒ k = 16² ÷ 16 = 16

3) y is directly proportional to cube root of x.

⇒ y ∝ ∛x

⇒ y = k × ∛x

Putting the values of x & y ,

⇒ 2 = k × ∛27

⇒ 3k = 2

⇒ k = 2/3

4) z is directly proportional to cube of d.

⇒ z ∝ d³

⇒ z = k × d³

Putting the values of d & z ,

⇒ 5 = k × 2³

⇒ 8k = 5

⇒ k = 5/8

5) Total Surface Area (SA) is directly proportional to square of the sides (s).

⇒ SA ∝ s²

⇒ SA = k × s²

Putting the values of SA & s ,

⇒ 96 = k × 4²

⇒ 16k = 96

⇒ k = 96/16 = 6

Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

Answer: ↓↓↓

Step-by-step explanation:

Slope intercept formula: y = mx + b

Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5

Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5

Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4

Answer:

y= -x-3

Step-by-step explanation:

A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.

We get...

y= -x+b

1= -(-4)+b

1=4+b

b=-3

Our final equation is y=-x-3

Hope this helped

Answer:

y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x

Step-by-step explanation:

y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x

Answer:

2 1/6

Step-by-step explanation:

9 3/4÷ 4 1/2

9×4+3/4÷ 4 1/2

36+3/4÷ 4 1/2

39/4÷ 4 1/2

39/4÷4×2+1/2

39/4 ÷ 8+1/2

39/4÷9/2

39/4× 2/9

39×2/ 4×9

78/4×9

78/36

13/6

2 1/6