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slavikrds [6]
3 years ago
9

What is the length of AC¯¯¯¯¯ ?

Mathematics
2 answers:
insens350 [35]3 years ago
7 0

Answer:

AC = 6

Step-by-step explanation:

y is the dimension of the horizontal segment (see the attached image).

The hypotenuses are the same dimension, so:

(x+4)^2=(x/2)^2+y^2

(3x-8)^2=(x/2)^2+y^2

So,

(x+4)^2 = (3x-8)^2

x+4 = 3x-8

x-3x = -8-4

-2x = -12

x = 6

And x is the dimension of the segment AC.

san4es73 [151]3 years ago
5 0

Answer : The length AC is, 6

Step-by-step explanation :

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Thus, \angle A=\angle C

(x+4)=(3x-8)

x+4=3x-8

3x-x=8+4

2x=12

x=6

The length AC = x = 6

The length AB = (x + 4) = 6 + 4 = 10

The length AB = (3x - 8) = 3(6) - 8 = 10

Thus, the length AC is, 6

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7 0
3 years ago
Melody had 45. She spent 32.75 on a blouse . Then her mother gave her 15.50. How much money does Melody have now ?
koban [17]

Answer:

Melody have now $27.75

Step-by-step explanation:

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5 0
3 years ago
Kindly solve these questions for me.
OleMash [197]

The perimeter of the rectangle based on the factors given is 46.

<h3>How to calculate the perimeter?</h3>

The area of the rectangle is given as (x² + 13x - 90). This will be:

= (x² + 13x - 90)

= x² + 18x - 5x - 90

= x(x + 18) - 5(x + 18)

= (x - 5)(x + 18)

The sides of the rectangle are 5 and 18. The perimeter will be:

= 2(l + w)

= 2(5 + 18)

= 46

The area of the rectangle is given as (x² + 24x - 81.

= (x² + 24x - 81)

= x² + 27x - 3x - 81

= x(x + 27) - 3(x + 27)

= (x - 3)(x + 27)

The sides are 3 and 27. The perimeter will be:

= 2(l + w)

= 2(27 + 3)

= 60

= (x + 1)² + 3(x + 1) + 2

= (x + 1)(x + 1) + 3x + 3 + 2

= x² + x + x + 1 + 3x + 5

= x² + 5x + 6

Learn more about factors on:

brainly.com/question/219464

#SPJ1

4 0
2 years ago
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