All categories

2 years ago

Solve for x in the diagram below

Mathematics

1 answer:

babymother [125]2 years ago

5 0

Answer:

Step-by-step explanation:

By the exterior angle theorem,

(4x - 4) + 40 = 60

4x - 4 = 20

4x = 24

x = 6

You might be interested in

A box has dimensions of 14 inches long, 1.5 feet wide, and 7 inches high. What is the volume of the box? The formula for the vol

goblinko [34]

convert the feet to inches

1 foot = 12 inches

so 1.5 ft =1.5*12 = 18 inches

now multiply all 3

14*18*7 = 1764 cubic inches

8 0

3 years ago

If you sleep 7 hours every night how many hours are you AWAKE in a year? Tips: There are 24 hours in a day. There are 365 days i

artcher [175]

6,205 hours you are awake in a year

5 0

3 years ago

Read 2 more answers

A/ab-bsquare + b/ab-asquare?

lord [1]

Answer:

$\dfrac{(a+b)}{ab}$

Step-by-step explanation:

The given expression is :

$\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}$

It can be solved as follows :

$\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}=\dfrac{a}{b(a-b)}+\dfrac{b}{a(b-a)}\\\\=\dfrac{a}{b(a-b)}+\dfrac{b}{-a(-b+a)}\\\\=\dfrac{1}{a-b}(\dfrac{a}{b}-\dfrac{b}{a})\\\\=\dfrac{a^2-b^2}{ab(a-b)}\\\\=\dfrac{(a-b)(a+b)}{ab(a-b)}\\\\=\dfrac{(a+b)}{ab}$

So, the solution of the given expression is equal to $\dfrac{(a+b)}{ab}$ .

7 0

3 years ago

Find each function value 1. f(7) if (x)=5x 2. f(4) if f(x)=3x-1

Inessa [10]

ANSWER

$1. \: \: f(7) = 35$

$2. \: f(4) = 11$

EXPLANATION

To find the value of a function, f(x) at a given value x=a, we plug in x=a into f(x) to obtain f(a) in simplified form.

The first function is

$f(x) = 5x$

To find f(7), we substitute x=7, into the function.

$\implies f(7) =5(7) = 5 \times 7 = 35$

The second function is

$f(x) = 3x - 1$

To find f(4), we replace x with 4 to obtain,

$f(4) = 3(4) - 1$

$f(4) = 12 - 1 = 11$

6 0

3 years ago

Rationalize the denominator in each expression. That is, rewrite the expression so that there is a rational expression in the de

ad-work [718]

Answer:

explanations: we multiply with a rational surd

(x-9)*√(x+9)/(√(x-9)*√(x+9)

=(x-9)√(x+9)/

$x {}^{2} - 9$

B.( x-9)/√x+3 =( x-9)*(√x-3)/(√x+3)*(√x-3)

= (x-9)*(√x-3)/x-9

=√x-3

7 0

4 years ago