2 years ago

CAN SOMEONE HELP ME WITH THIS GEOMETRY QUESTION PLEASE?!?

1 answer:

4 0

The triangles are similar
so
(x+8)/42 = 24/(2x-4)
(x+8)(2x-4) = 24 * 42
2x^2 + 16x - 4x - 32 = 1008
2x^2 + 12x - 32 = 1008
2x^2 + 12x - 1040 = 0
2(x^2 + 6x - 520) = 0
2(x + 26)(x - 20) = 0
x + 26 = 0; x = -26
x - 20 = 0; x = 20

Since the side of triangle can't be negative so x = 20

Answer
x = 20

You might be interested in

If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the numb

Serggg [28]

Step-by-step explanation:

<h3>Let the number be x </h3><h3>X×5 =1/2 × 3/5 × 61</h3><h3>5X = 18 </h3><h3>X = 18/5 </h3><h3>X =3.3</h3>

4 0

2 years ago

Teresa sold t-shirts at a festival and made a profit of $75. She made $4 for each t-shirt she sold. Her total expenses were $25.

Paha777 [63]

She sold 25 t-shirts cuz she made $75 and spent $25 which means she sold $100 worth of shirts which divided by $4 a piece is 25 t-shirts.

4 0

2 years ago