All categories

2 years ago

Work out the value of x.

Mathematics

2 answers:

Vinil7 [7]2 years ago

4 0

Answer:

$\huge\boxed{x=20}$

Useful Information:

Co-interior angles add to 180°

Step-by-step explanation:

The first step is to add 4x to 5x, which gives you 9x. This is because co-interior angles add up to 180, so 4x+5x=180. Co-interior angles can be spotted by their C shape.

To work out the value of x you would need to divide 180 by 9, which gives you 20°. This is because 9x is equal to 180. This means that x is equal to 180 divided by 9.

1) Add 4x to 5x.

$4x+5x=9x$

2) Divide 180 by 9.

$\frac{180}{9}=20$

xeze [42]2 years ago

3 0

Answer:

x = 20

Step-by-step explanation:

4x+5x = 180° (sum of int angles)

9x = 180°

x = 20°

Hence, x = 20.

You might be interested in

Nate walk 11 miles in 4 hours. At what unit rate does Nate walk?

coldgirl [10]

Answer:

2.75 or 2 3/4

Step-by-step explanation:

just divide 11/4 that's how many miles Nate walked every hour

4 0

3 years ago

a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a squ

sveta [45]

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

$\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}$

$\text{Number of possible sets}=\dfrac{250}{8}$

$\text{Number of possible sets}=31.25$

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

$\text{Number of possible sets}\approx 31$

Therefore, the number of possible sets at the dance is 31.

7 0

3 years ago

Write the quadratic equation y=x^2-6+7 in vertex form

antoniya [11.8K]

Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2

7 0

3 years ago

Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5).

gtnhenbr [62]

Answer:

-36 • (22u + 1)

Step-by-step explanation:

Pulling out like terms :

2.1 Pull out like factors :

-74u - 5 = -1 • (74u + 5)

Equation at the end of step 2 :

(6 • (58u + 1)) - -6 • (74u + 5)

Step 3 :

Equation at the end of step 3 :

6 • (58u + 1) - -6 • (74u + 5)

Step 4 :

Pulling out like terms :

4.1 Pull out 6

Note that -6 =(-1)• 6

After pulling out, we are left with :

6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

-132u - 6 = -6 • (22u + 1)

Final result :

-36 • (22u + 1)

6 0

4 years ago

In taking a multiple-choice test, there are four possible answers for each problem, only one of which is correct. Assume that so

Degger [83]

Total number of events
4^25

Probabilty to get all 25 randomly,

1^(4^25)

7 0

3 years ago