All categories

2 years ago

What is the value of x?

Mathematics

2 answers:

Mama L [17]2 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

72/9 = 56/(3x - 20)
8 = 56/(3x - 20)
3x - 20 = 56/8
3x - 20 = 7
3x = 27
x = 9

AlekseyPX2 years ago

4 0

Answer:

x = 9 cm

create proportional equation:

$\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}$

$\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}$

$\sf 9(3x+36) = 81(3x-20)$

$\sf 27x+324 = 243x-1620$

$\sf 27x-243x=-1620-324$

$\sf -216x=-1944$

$\sf x = 9$

You might be interested in

Christine has a bag of candy that contains 20 red pieces, 10 green pieces, 15 blue pieces, 25 brown pieces, and 10 orange pieces

andrew-mc [135]

Answer:

1/8

Step-by-step explanation:

20 + 10 + 25 + 15 + 10 = 80

10 / 80 = 1/8

4 0

2 years ago

PLEASE HELPP!!!!!!QUICKLY!!!!

Sati [7]

Parallel = same slope
3y = 2x -4
y = 2/3x - 4/3, slope = 2/3
y - y1 = m(x - x1)
Plug in the point and slope
y - 3 = 2/3(x - 1)
The answer is D

6 0

3 years ago

The path of a baseball, hit 3 feet above ground, is modeled by the function f(x)=-0.01x^2+x+3, where f(x) represents the vertica

ozzi

Answer:

Therefore the ball travel 102.92 feet horizontally before hitting the ground

Step-by-step explanation:

Given that, the path of a baseball, hit 3 feet above ground, is modeled by the function

$f(x)=-0.01 x^2+x+3$

where f(x) represents the vertical height of the ball in feet(Assume) and x is the horizontal distance in feet(Assume) .

When the ball hits the ground, then the vertically distance of the ball will be zero, i.e f(x)=0

$\therefore -0.01 x^2+x+3=0$

[Applying quadratic formula $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ , here a = -0.001, b=1 and c=3]

$\Rightarrow x=\frac{-1\pm\sqrt{1^2-4.(-0.01).3}}{2.(-0.01)}$

$\Rightarrow x=-2.94, 102.92$

Therefore the ball travel 102.92 feet horizontally before hitting the ground.

8 0

3 years ago

Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy,

larisa86 [58]

Let: x = number of copies sold

We can formulate the following equation to solve for x:

1.50x - 0.9x - 600 = 0

x = 1000

Therefore, the club must sell 1000 copies to break even. Among the choices, the correct answer is A.

5 0

3 years ago

The total number of fungal spores can be found using an infinite geometric series where a1 = 8 and the common ratio is 4. Find t

Dmitry [639]

The formula for infinite geometric series is equal to a1 / (1-r) where in this problem a1 is equal to 8 and r is equal to 4. In this case, r is not equal to less than 1. This means the sum should be infinity and cannot be determined definitely.

4 0

3 years ago

Read 2 more answers