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zlopas [31]
3 years ago
12

What theorem shows that ΔACE ≅ ΔBCD?

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

Answer:

sas

Step-by-step explanation:

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Tamika’s father gave her $50 to start her savings account. She deposited $15 in the account each month that followed. Is the amo
gtnhenbr [62]

Answer:

B

Step-by-step explanation:

The origin means it starts at 0 but because she was given $50 she starts at 50 and increases  - this rules out A or C

The fact that she is putting 15 each month means that she will surpass the original $50 in more than 3 months . This means that it is B ( in my opinion)

6 0
3 years ago
Consider a wire of length 12 ft. The wire is to be cut into two pieces of length x and 12−x. Suppose the length x is used to for
Marat540 [252]

Answer:

x = 8

Step-by-step explanation:

When cutting the wire we will get two pieces

x             and          12 - x

If we build a circle whith x , the lenght of the circle will be x, and if we look at the equation for a lenght of a cicle  2*π*r = x

then r  = x/2π

and consequentely   A₁  = area of a circle  =  πr²       A₁  = π*x/2π  

A₁  = x/2

With the other piece  12  -  x     we have to make an square so wehave to divide that piece in four equal length

side of the square   =    s

s   = 1/4 ( 12 - x )    and the area is      A₂  = [1/4 ( 12 - x)]²

A₂  = ( 12 - x )²/16

Then     A₁  +  A₂  =  A(t)   and this area as fuction of x

A (x)  = x/2  +  1/16 ( 144 + x² -24x)          A (x)  =[ (8x + 144 + x² -24x)]/16

Taken derivatives in both sides

A´(x)  =  8  +  2x  - 24   = 0

   2x  -16  =  0         x  =  8    and   s =  12 - 8       s  =  4

7 0
4 years ago
In the worst snowstorm in Milwaukee history, 8 inches of snow fell in 12 hours. What was
Nataliya [291]

Answer:

2/3 inch

Step-by-step explanation:

12 divided by 8

3 0
3 years ago
Shauna solved the polynomial equations given in the table.
KATRIN_1 [288]

Answer:

(5a - 8) + (2a² + 2a − 1) = 2a² + 7a - 9 - <u>correct.</u>

Step-by-step explanation:

(5a - 8) + (2a² + 2a − 1) = 2a² + 7a - 9 - <u>correct;</u>

(6² +6b-4) (3b +6²) = 26² +36-4 - incorrect (correct is: 18b²+...36²);

(9c-4c²) - (2c² + c) = -6c² + 10c - incorrect (correct is: -6c² + 8c).

5 0
2 years ago
Generate the first 3 terms for the sequence-2n<br> +1.
Cloud [144]

Answer:

- 1, - 3, - 5

Step-by-step explanation:

Substitute n = 1, 2, 3 into the rule, that is

a₁ = - 2(1) + 1 = - 2 + 1 = - 1

a₂ = - 2(2) + 1 = - 4 + 1 = - 3

a₃ = - 2(3) + 1 = - 6 + 1 = - 5

7 0
3 years ago
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