All categories

3 years ago

Find the value of x. Polygon angle sums

Mathematics

2 answers:

pav-90 [236]3 years ago

6 0

Answer:

x = 50

Step-by-step explanation:

In a polygon, the angles add up to 360°:

x + 10 + 2x + 3x + x = 360

7x + 10 = 360

7x = 350

x = 50

wariber [46]3 years ago

4 0

Answer:

x = 50

Step-by-step explanation:

There are 4 angles, making it a Quadrilateral. A Quadrilateral has a ∑m∠ of 360°.

Set each angle equal to 360°:

2x + 3x + x + x + 10 = 360

Simplify. Combine like terms:

(2x + 3x + x + x) + 10 = 360

7x + 10 = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents

Roots

Multiplication

Division

Addition

Subtraction

First, subtract 10 from both sides:

7x + 10 (-10) = 360 (-10)

7x = 360 - 10

7x = 350

Next, divide 7 from both sides:

(7x)/7 = (350)/7

x = 350/7

x = 50

50 is your value for x.

You might be interested in

Greatest common factor of 7 and 7

Zina [86]

Answer:

Step-by-step explanation:

It is the same number, all you have to do is write out the factors but if its ever the same number just know itll always be that number

3 0

3 years ago

In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children

6 0

3 years ago

1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42

gavmur [86]

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

$L^{2} = H^{2} + B^{2}$

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

$H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm$

2. The two equal angles (θ) can be found using the following trigonometric identity:

$cos(\theta) = \frac{B}{L}$

$\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}$

Hence, the two equal angles are 44°.

I hope it helps you!

3 0

3 years ago

Dalia is performing transformations on the preimage of a triangle in the coordinate plane. She shifts and the spins the triangle

Zielflug [23.3K]

Answer:

translation, rotation

Step-by-step explanation:

A translation is sliding around or moving around/shifting so the first one is translation. A rotation is spinning it around to a different angle so the second is a rotation. Hope this helps!!

6 0

2 years ago

A strip of wood 78 inches long is to be cut into pieces 3 3/4 inches long. How many pieces can be cut?

Ray Of Light [21]

It is 20 because if u divide 78 by 3.75 ( 3 3/4 ) than equals 20.8

8 0

3 years ago