All categories

3 years ago

HELP ME DO A STATEMENT REASON FOR THIS PLEASE

Mathematics

1 answer:

Natali [406]3 years ago

3 0

Answer:

Lines are parallel if the sum of external angles of same side is 180°.

Step-by-step explanation:

Let one of the external angle is α°.

and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)

Also β° = 1/6 of the right angle = (1/6)×90° = 15°.

β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.

α°+β° = 165° + 15° = 180°.

Here, sum of the two external angles = 180° ⇔ the given lines are parallel.

You might be interested in

Solve for x i need help

stiv31 [10]

It is 1/2 because Ik it is

5 0

2 years ago

Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perp

labwork [276]

x ^2 + y ^2 = 9 => y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

$\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}$

3 0

3 years ago

Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x

Serggg [28]

Answer:

Option A)

$9x^2 - 36x + 35 = 0$

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

$\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}$

The sum of the roots and the product of the roots can be calculated as:

$\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}$

Standard form of quadratic equation:

$x^2-(\alpha + \beta)x+\alpha\beta = 0$

Putting values, we get,

$x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0$

is the required quadratic equation.

Thus, the correct answer is

Option A)

$9x^2 - 36x + 35 = 0$

5 0

3 years ago

If you know the answer to this let me know pls!

Bad White [126]

Answer:

I think it is C.

Step-by-step explanation:

Have a good day. :-)

5 0

3 years ago

What is the measure of angle B in the triangle?

sladkih [1.3K]

40 + 2x - 30 + x + 20 = 180
3x + 30 = 180
3x = 150
x = 50

m<B = 2x - 30
m<B = 2(50) - 30
m<B = 100 - 30
m<B = 70

6 0

3 years ago