If B is the midpoint of AC, and AC = 8x – 20,
find BC.
3x - 1
A
B
C

Answer:

x = 4

Step-by-step explanation:

Due to the Consecutive Interior Angles rule, c + e = 180. So, 20x + 5 + 24x - 1 = 180.

If you solve, you will get x = 4

Work:

20x + 5 + 24x - 1 = 180 [Add like terms]

44x + 4 = 180 [Isolate the variable]

44x = 176 [Solve]

x = 4

Answer:

i thinl its distributive property

Answer:

reflexive

reflexive property states that a number is equal to itself

hope this helps

Answer:

x is 4.

Step-by-step explanation:

8 times 8 is 64

64 minus 4 is 60

60 divided by 15 is 4

Answer:

y=2.25x+5, where y is the total cost and x is the number of days

Answer:

Step-by-step explanation:

The circumference of a circle = 2πr

where

r is the radius of the circle

From the question

r = 7 m

Substitute this value into the above formula and solve

That's

C = 2(7)π

= 14π

= 43.9822971502

We have the final answer as

Hope this helps you

Circumference formula: C = 2πr

C = 2π(7)

C = 14π

C ≈ 43.98

Area formula: A = πr²

A = π(7)²

A = 49π

A ≈ 153.94

Best of Luck!

Answer:

I believe it’s 2/3

Step-by-step explanation:

If s to m is 3/2 then m to a should be 2/3 not 100% sure though

Given :

Three points G ( -1,3 ) , H ( -4,0 ) and I ( 3,-2 ) .

To Find :

These points on rotating 90° clockwise about ( 0,0 ).

Solution :

Rotation of point ( h,k ) about (0,0) by 90° clockwise is ( k,-h ) .

So  points :

G' is ( 3,-(-1) ) = ( 3,1 )

H'  is ( 0,-(-4) ) = ( 0,4 )

I' is ( -2,-3 ) .

Therefore , rotation about (0,0) by 90 degrees clockwise is ( 3,1 ), ( 0,4 ) and ( -2,-3 ) .

Hence , this is the required solution .

Answer: 20 stops a day

Unit rate:20

Step-by-step explanation: since the number of stops is 20 times the number of days, the rate is 20 stops per day so the unit rate is 20

Answer: x=0

Step-by-step explanation:

1-3x=3x+1

6x=0

x=0

Answer:

Step-by-step explanation:

The given y=x²+4x+3 should be re-written in "vertex form," which is

y = a(x - h) + k, where (h, k) is the vertex.

Here y=x²+4x+3 = y=x²+4x + 4 - 4 +3 (completing the square), or

y = x^2 + 4x + 4 - 1. which condenses to   y = (x + 2)^2 - 1

Thus, h = -2 and k = 1, and so the vertex is at (h, k), or (-2, 1).  This parabola opens up.  The axis of symmetry is the vertical line  x = -2.

An alternative equation for a vertical parabola that opens up is:

y - k = 4p(x - h)^2.  Rewriting y = (x + 2)^2 - 1 to fit this form leads to:

y + 1 = 4p(x + 2)^2.  We must find the value of p that makes this equation true at any (x, y) on the graph.  Suppose we arbitrarily choose x = 1.  Then, according to y=x²+4x+3, y = 1^2 + 4(1) + 3, or y = 8 when x = 1.

Then y - k = 4p(x - h)^2 becomes 8 - 1 = 4p(1 + 2)^2, or

7 = 4p(9), or p = 7/36

The focus is thus 7/36 units above the vertex:  (-2 + 7/36), and the directrix is the horizontal line which is 7/36 units below the vertex:  y = -2 - 7/36.

Vertex:  (-2, 1)

Focus:  (-2, 2 7/36)

Directrix:  y = -2 7/36

Answer:

C= 0.39p

or

15=0.39p

Step by Step

$0.39 times the amount of people the invitation is being sent to

Answer:

4

Step-by-step explanation:

[tex]18r - 45 - 3 < 7r - 4 \\ 11r < 44 \\ r = 4[/tex]

Answer:

$95

Step-by-step explanation:

I you need to see how much you would save after 7 weeks, and you save $10 a week, that would be 7*$10 and if you start with $25 you add it.

$25 + 7*($10) =

$25 + $70 = $95

After 7 weeks you would have saved $95.

If you need to know your savings each week, start with $25, and add $10 to it each week.

$25

Week 1 - $25 + 10 = $35

Week 2 - $35 + 10 = $45

Week 3 - $45 + 10 = $55

Week 4 - $55 + 10 = $65

Week 5 - $65 + 10 = $75

Week 6 - $75 + 10 = $85

Week 7 - $85 + 10 = $95

Step-by-step explanation:

m/n is a rational number if and only if both m and m are integers.

Since 5 and 16 are integers, the fraction 5/16 is rational.

Answer:

X=5

Step-by-step explanation:

17x-3+17x+8=175

17×+17×+8-3=175

34x+5=175

34x=175-5

34x=170

X=5

Answer:

3/5

Step-by-step explanation:

Hey there! I'm happy to help!

Jesse plays for 60 minutes every one week. To find the amount in 3 weeks, we just multiply by 3.

60(3)=180

Jesse plays table tennis for 180 minutes in 3 weeks.

Have a wonderful day! :D

Answer:

79 : 98

Step-by-step explanation:

Total horses = 98

White horses = 19

Black horses = 98 - 19 =79

Ratio of black horses to all horses = 79/98 = 79 : 98

Answer:

79:19

Step-by-step explanation:

Answer:

3.25×2= 6.50

3.25×3=9.75

3.25×15= 48.75

3.25×23= 74.75

he will run out of money after renting 74 games.

Answer:

a=-18

b=7

c=27

Step-by-step explanation:

Given  the function f (x) = 5x - 8 ,for different value of  f(x)

    f (-2)=-18

     f (-2)=7

     f (-2)=27

A) for  f (x) = 5x - 8 where  f (-2).

      ⇒ f (-2) = 5x - 8

      ⇒ f (-2) = 5(-2) - 8

      ⇒ f (-2) = -10 - 8

      ⇒ f (-2) =-18

B) for  for  f (x) = 5x - 8 where  f (3).

      ⇒ f (3) = 5x - 8

      ⇒ f (3) = 5(3) - 8

      ⇒ f (3) = 15 - 8

      ⇒ f (3) =7

C)  for  f (x) = 5x - 8 where  f (7).

      ⇒ f (7) = 57 - 8

      ⇒ f (7) = 5(7) - 8

      ⇒ f (7) = 35- 8

      ⇒ f (7) =27

Learn more about function here: https://brainly.com/question/10439235

#SPJ2

Step-by-step explanation:

ABD+DBC=180°

x+80°=180

x=100°

Answer: [tex]|h-1.7| \le 0.5[/tex]

==========================================================

Explanation:

The endpoints of this compound inequality are 1.2 and 2.2

Add up the endpoints to get 1.2+2.2 = 3.4

Divide that result in half getting 3.4/2 = 1.7

The midpoint between 1.2 and 2.2 is 1.7

The distance from 1.7 to 1.2 is 0.5 units after we subtract the values (1.7-1.2 = 0.5). Also, from 1.7 to 2.2 is 0.5 units as well (2.2 - 1.7 = 0.5)

The compound inequality [tex]1.7 \le h \le 2.2[/tex] converts to the absolute value inequality [tex]|h-1.7| \le 0.5[/tex]

The portion h-1.7 represents the distance h is from 1.7; we want this distance to be 0.5 or smaller. The use of absolute value is to ensure the result h-1.7 is never negative.

If two quantities a and b are directly proportional to one another, then both a and b change in the same direction.

For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.

Both a and b don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor k, so that

a = kb

Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is a, then the amount of coffee I pour in is b = 1/2 a. So the relationship of these two quantities is governed by the equation,

a = 2b

and in this case, k = 2.

If instead a and b are inversely proportional, this means as one quantity changes, the other changes in the opposite direction.

Suppose I have two cups that I use for coffee that can both hold the same amount k if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.

The cups are cylindrical, so that their volumes are equal to the products of the area of their base a and their height b. If one cup is twice as tall as the other, then for the smaller cup we could have

ab = k

and for the taller one,

a (2b) = k

But in order to get the same volume, the quantity a for the shorter cup must be cut in half to preserve equality:

(1/2 a) (2b) = ab = k

So one quantity is doubled (increases), while the other gets halved (decreases).

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E (3, 4) and F (7,2)

The midpoint is

[tex]M = ( \frac{3 + 7}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( \frac{10}{2} \: , \frac{6}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

x = -1 1/2 , x = 1.5

Step-by-step explanation:

Answer:x=12

Step-by-step explanation:

Subtract

3x

from both sides of the equation.

4x−5−3x=7

Subtract

3x from 4x.x−5=7Move all terms not containing x to the right side of the equation.

Add 5

to both sides of the equation.

x=7+5Add 7and 5

.

x=12