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Norma-Jean [14]
3 years ago
12

What is the value of a?

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}

Step-by-step explanation:

\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}

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Solve the equation 12x-14=4x+10​
ziro4ka [17]

Answer:

x=3

Step-by-step explanation:

12x-14=4x+10​

Subtract 4x from each side

12x-4x-14=4x-4x+10​

8x - 14 = 10

Add 14 to each side

8x - 14+14 = 10+14

8x = 24

Divide each side by 8

8x/8 = 24/8

x = 3

3 0
3 years ago
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Find the zeros of the function. Enter the solutions from least to greatest.
Harman [31]

9514 1404 393

Answer:

  x = 5, x = 11

Step-by-step explanation:

Set f(x) = 0 and solve for x.

  0 = (x -8)² -9

  9 = (x -8)² . . . . . add 9

  ±√9 = x -8 . . . . . take the square root

  ±3 +8 = x . . . . . . . add 8

That is, ...

  x = 8 -3 = 5 . . . . lesser x

  x = 8 +3 = 11 . . . greater x

3 0
3 years ago
-v+5+6v=1+5v+3 solve for v
earnstyle [38]

Answer: No solution for V.  No solution.

Step-by-step explanation:

-v+5+6v=1+5v+3

Combine like terms together by adding all of the v's together, and number together.

5v+5=4+5v

5v-5v+5=4

0+5=4

5=4

Since this is a false statement, then no solution for V

3 0
3 years ago
Rick bought 3 shirts for $18 each, 2 pairs of socks for $3.99 a pair, and a pair of pants for $45.00. The sales tax
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Answer:

Step-by-step explanation:

(3(18)+2(3.99)+45)(1.08)=(106.98)(1.08)=$115.54 (rounded to nearest cent)

7 0
2 years ago
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37.699cm

Hope this helped!
6 0
3 years ago
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