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2 years ago

Find the value of x for which m ll n

Mathematics

1 answer:

Nikitich [7]2 years ago

3 0

Set the expressions equal to each other to get 17

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Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.

Lisa [10]

Answer:

The third exterior angle is $103^o$

Step-by-step explanation:

Given

$\theta = 158^o$

$\alpha = 99^o$

Required

The third exterior angle $(\beta)$

The exterior angles of a triangle add up to 360 degrees.

So:

$\theta + \alpha + \beta = 360^o$

Make $\beta$ the subject

$\beta = 360^o - (\theta + \alpha)$

Substitute known values

$\beta = 360^o - (158^o + 99^o)$

$\beta = 103^o$

4 0

3 years ago

Which of the following functions has the largest value when x= 3? Show your work.

luda_lava [24]

Answer:

p(x)

Step-by-step explanation:

Substitute x = 3 into each function and calculate the value.

p(3) = 2(3)² + 4(3) + 11 = 2(9) + 12 + 11 = 18 + 12 + 11 = 41

h(3) = 4(3) = 12

s(3) = 10(3) = 30

Thus p(x) = 41 is the largest value when x = 3

6 0

2 years ago

What is the equation of the line ?

Zielflug [23.3K]

Answer:

y = -2x + 7

Step-by-step explanation:

tbh too lazy to explain

8 0

3 years ago

11-9

Viktor [21]

Answer:

Ok, answer is 2.

Step-by-step explanation:

Good to know there are some very helpful people out there

11 - 9

= 2

6 0

2 years ago

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

$\mathbf{Area = a^3 - 5^3}$

Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

$\mathbf{Area = (a - 5)(a^2 + 5a + 25)}$

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$