All categories

3 years ago

Find the Value of X. Help me PLease

Mathematics

2 answers:

Kobotan [32]3 years ago

5 0

Answer:

x = 27

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

sum the interior angles and equate to 900

3x + 31 + 135 + 5x - 4 + 7x - 64 + 120 + 6x - 8 + 4x + 15 = 900 , that is

25x + 225 = 900 ( subtract 225 from both sides )

25x = 675 ( divide both sides by 25 )

x = 27

ivanzaharov [21]3 years ago

4 0

Answer:

x = 27

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is 180(n - 2) degrees. Here, n = 7, so the interior angle measures add up to

180(7 - 2) = 180(5) = 900 degrees.

Adding all the expressions together:

135 + (5x - 4) + (7x - 64) + 120 + (6x - 8) + (4x + 15) + (3x + 31) = 900

Simplifying,

25x + 225 = 900

25x = 675

x = 27

You might be interested in

Can someone help me pls :)

Makovka662 [10]

Answer:a

Step-by-step explanation:

Can I have brainlest

3 0

3 years ago

Read 2 more answers

A store is having a sale on walnuts and chocolate chips. For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost

Jlenok [28]

Answer:

Walnuts cost $1.75, chocolate chips cost $2.75

Step-by-step explanation:

<h3>Let the costs be:</h3>

Walnuts - x
Chocolate chips - y

<h3>Set equations as per question</h3>

For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:

7x + 9y = 37

For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:

5x + 3y = 17

<h3>Solve the system by elimination</h3>

Multiply the second equation by 3 and subtract the first equation, solve for x:

3(5x + 3y) - (7x + 9y) = 3(17) - 37
15x + 9y - 7x - 9y = 51 - 37
8x = 14
x = 14/8
x = 1.75

Find the value of y:

7*1.75 + 9y = 37
12.25 + 9y = 37
9y = 37 - 12.25
9y = 24.75
y = 24.75/9
y = 2.75

6 0

2 years ago

Use the following function to find the value of each operation.

Murljashka [212]

<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

$w(f(m(2))) = 593$

<h3>Step-by-step explanation:</h3>

We can write how $w(f(m(x)))$ will be defined but that's too much work and it's only useful when we are evaluating $w(f(m(x)))$ with many inputs.

First let's solve for $m(2)$ first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

$m(x) = -4x +1$

Solving for $m(2)$ :

$m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7$

Now we can solve for $f(m(2))$ , since $m(2) = -7$ , $f(m(2)) = f(-7)$ .

Given:

$f(x)=3x-1$

Solving for $f(-7)$ :

$f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22$

Now we are can solve for $w(-22)$ . By now you should get the idea why $w(f(m(2))) = w(-22)$ .

Given:

$w(x) = x^2 -5x -1$

Solving for $w(-22)$ :

$w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593$

8 0

3 years ago

Darnell wrote this expression to describe the number of bus rides he has left on his bus pass. p – 12 Which situation could be d

Orlov [11]

I think the answer is B. Darnell does not know how many rides he has already used. He knows he has 12 bus rides left on the bus pass.
.

3 0

3 years ago

Airplane descended 375 m in 10 seconds. What was the airplane’s rate of change in elevation (how many meters does the airplane d

34kurt

Answer:

37.5 m/s

Step-by-step explanation:

$\text{Rate of descent } = \dfrac{\text{descent}}{\text{time}} = \dfrac{\text{375 m}}{\text{10 s}}= \textbf{37.5 m/s}$

3 0

3 years ago