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3 years ago

What is the value of x?

Mathematics

1 answer:

astraxan [27]3 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

Given 2 secants intersecting a circle from an external point, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20

Subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

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Edward's school is 13/2 miles away from his home . He goes by car to school and back. The car consumed 4 gallons of gas taking h

MatroZZZ [7]

Answer:

16.25

Step-by-step explanation:

Well, the school is 13/2 miles away.

13/2 = 6.5

Since Edward goes by car there and back, he travels 13 miles a day.

6.5 x 2 = 13

He went for 5 days.

5 x 13 = 65

The car consumed 4 gallons of gas by driving those 65 miles.

65 / 4 = 16.25

Therefore, Edward's car gets 16.25 miles per gallon!

5 0

3 years ago

Plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.

Mama L [17]

Answer:

x=9

Step-by-step explanation:

first you would distribute the -4 and the -12

-24x-12=-12x-120

Then you would add 120 to both sides

-24x+108=-12x

Then add 24x to both sides

108=12x

Then divide both sides by 12

x=9

7 0

3 years ago

Read 2 more answers

You decide that coronavirus is really boring and decide to sign up for a subscription to Netflix you must pay intial cost of $20

aleksandrvk [35]

Answer:
y= 8.99x + 20

7 0

2 years ago

maksim [4K]

Answer:

$\boxed {\boxed {\sf 250 \ people}}$

Step-by-step explanation:

Let's set up a proportion using the following setup.

$\frac {buses}{people}=\frac {buses}{people}$

We know 30 buses can carry 1,500 people.

$\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}$

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

$\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}$

$\frac {30 }{1500 }=\frac {5 }{x }$

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

$30*x=1500*5\\30x=7500$