All categories

2 years ago

5. solve for x

Mathematics

1 answer:

miss Akunina [59]2 years ago

7 0

Answer:

x = 17, MN = 11

Step-by-step explanation:

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

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

You might be interested in

Can you please answer these

I am Lyosha [343]

Answer:

the picture isnt showing up

7 0

3 years ago

The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.

Sedaia [141]

The total snowfall throughout the day is the expected value of the distribution.

The estimated total snowfall during the day is 30 inches

Start by calculating the average rate of snow collected on that day.

$Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}$

This gives

$Rate = \frac{7.5}{6}$

Divide 7.5 by 6

$Rate = 1.25$

There are 24 hours in a day.

So, the total snowfall is:

$Total = Rate \times Hours$

This gives

$Total = 1.25 \times 24$

Multiply

$Total = 30$

Hence, the estimated total snowfall during the day is 30 inches

Read more about expected values at:

brainly.com/question/13005177

3 0

2 years ago

PLEASE HELP 2x + 6 for x = 12

elixir [45]

Answer:

Step-by-step explanation:

1.Substitute the x for 12.

2.Multiply the 2 by 12.

3.Then add 6 to your answer.

8 0

3 years ago

(x+y+2)(y+1) <--- Please help,will mark brainly

kifflom [539]

Answer:

y^2+xy+x+3y+2

Step-by-step explanation:

first of all we have to multiplies the y in the second bracket for all numbers in the first bracket.

so we have:

xy+y^2+2y

now we have to do the same with 1

x+y+2

now we have to unite the two solutions

xy+y^2+2y+x+y+2

at least we have to added up the similar terms (that have the same literal part)

y^2+xy+x+3y+2

6 0

3 years ago

Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the

babymother [125]

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

$d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }$

DC:

D(-2,-1) C(-1,2)

$d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16$

CF:

C(-1,2) F(1,1)

$d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24$

F(1,1) E(2,-2)

$d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16$

E(2,-2) D(-2,-1)

$d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\$

3.16+2.24+3.16+4.12= 12.68

4 0

2 years ago