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svlad2 [7]
3 years ago
6

100 points!!! Show your work on paper

Mathematics
2 answers:
lyudmila [28]3 years ago
5 0

Answer:

  • 10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

<u>Corresponding sides are AC with A'C' and CB with C'B'</u>

  • AC/A'C' = CB/C'B'
  • (x - 1)/2 = (x + 4)/3
  • 3(x - 1) = 2(x + 4)
  • 3x - 3 = 2x + 8
  • 3x - 2x = 8 + 3
  • x = 11

<u>Find the values of AC and CB:</u>

  • AC = x - 1 = 11 - 1 = 10 cm
  • CB = x + 4 = 11 + 4 = 15 cm
Tanzania [10]3 years ago
4 0

Answer:

AC=10cm

BC=15cm is your answer

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If the mean of A and B is 20, the mean of B and C is 24 and the mean of A,B and C is 18.What is the mean of A and C?
Zielflug [23.3K]

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given;

mean of A and B = 20

mean of B and C = 24

mean of A, B and C = 18

\frac{A + B}{2} = 20\\\\A+ B = 40 ---- (1)\\\\\frac{B + C}{2} = 24\\\\B+ C = 48----(2)\\\\\frac{A+ B+ C}{3} = 18\\\\A+ B+ C= 54---(3)\\\\From (1); \ A = 40 - B\\\\From(2); \ C = 48 - B\\\\\Substitute \ the \ values \ of \ A \ and \ C \ into \ (3)\\\\(40-B) + B + (48-B) = 54\\\\simplify;\\\\(40 + 48) + (B-B-B)= 54\\\\88 -B = 54\\\\-B = 54-88\\\\-B = -34\\\\B = 34

Recall; A = 40 - B

           A = 40 - 34

           A = 6

Also, C = 48 - B

        C = 48 - 34

       C = 14

Therefore, the mean of A and C is calculated as;

= \frac{A + C}{2} \\\\= \frac{6 + 14}{2} \\\\= 10

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3 years ago
Given the function f(x)=x2+2x+1, find:<br> f(2b)
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Hey there!!

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