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Genrish500 [490]
3 years ago
7

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in. Find the distance between the midpoints of segmen

ts AB and CD . Answer: Distance between midpoints is in
Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer: 12 inches

Step-by-step explanation:

Given that :

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in

Therefore, A, B, C and D lie on a line which has a distance of 6 inches between each consecutive point.

A could be taken as the starting point with and D taken the end of the line with B and C in between them.

For instance:

A = 6; B = 12 ; C = 18 ; D = 24

Midpoint of AB = (12 + 6) / 2 = 18/2 = 9

Midpoint of CD = (18 + 24) / 2 = 42/2 = 21

Distance between the Midpoint AB and CD equals:

Midpoint CD - Midpoint AB

(21 - 9) inches = 12 inches

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Mia hired a moving company. The company charged \$500$500dollar sign, 500 for its services, and mia gives the movers a 16\%16%16
Ira Lisetskai [31]

Mia gives $80 as tip to the movers.

<em><u>Explanation</u></em>

The moving company charged $500 for its service.

Suppose, the amount of tip is  x dollar, which is 16% of the total charge.

So, the equation will be.....

\frac{x}{500}*100\% = 16\%\\ \\ \frac{x}{5}=16\\ \\ x=5*16=80

So, the amount of tip Mia gives the movers is $80

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3 years ago
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Find the area of the figure.<br> A. 50 ft^2<br> B. 41 ft^2<br> C. 42 ft^2<br> D. 38 ft^2
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Answer:

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Step-by-step explanation:

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3 years ago
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VMariaS [17]
  To solve this problem,you need to use the formula d = rd (distance = rates x time)She runs at a speed of 7 mph and walks at a speed of 3 mph. Her distance running is d = 7trwhere tr is the time she spends running Her distance walking isd = 3twwhere tw is the time she spends walking The distances are the same so7tr = 3tw We also know that the total time is 4 hourstr + tw = 4tr = 4-tw Substitute this value of tr in the first equation7tr = 3tw7(4-tw) = 3tw28-7tw = 3tw28 = 10tw2.8 = tw Denise will spend 2.8 hours (2 hours, 48 minutes) walking back and 1.2 hours (1 hour, 12 minutes running.

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5 0
3 years ago
Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
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plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
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The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

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