Which property states that you can multiply both sides of an equation by the same term?

What’s the measure of a? I’m kind of confused here

Lilit [14]

Answer:

Correct answer: m∠A = 52°

Step-by-step explanation:

Given:

m∠A = 9 x - 2 = ?

m∠B = 16 x

m∠C = 5 x + 2

The sum of the inner angles in a triangle is 180 degrees

m∠A + m∠B + m∠C = 180°

9 x - 2 + 16 x + 5 x + 2 = 180

30 · x = 180

x = 180 / 30 = 6°

x =6°

m∠A = 9 x - 2 = 9 · 6 - 2 = 54 - 2 = 52°

m∠A = 52°

God is with you!!!

6 0

4 years ago

Can X = 2 be linear function

tatuchka [14]

Answer:

yes it can

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3 0

2 years ago

Read 2 more answers

Which of the following could be the function graphed?

Tpy6a [65]

Answer: The answer is $(d)~f(x)=\dfrac{237x}{421x-515}.$

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.

To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by

$(d)~f(x)=\dfrac{237x}{421x-515}$

matches exactly with the graph given in the question. The attached figure will show the graph for this function, which is exactly same as given.

Thus, the correct option is

$(d)~f(x)=\dfrac{237x}{421x-515}$

7 0

4 years ago

Read 2 more answers

Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.

gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )

and major axis parallel to the x-axis is x²/a² + y²/b² = 1

# a > b

- The length of the major axis is 2a

- The coordinates of the vertices are ( ± a , 0 )

- The length of the minor axis is 2b

- The coordinates of the co-vertices are ( 0 , ± b )

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0

4 years ago

The cro ection of the prim i a right angled triangle the bae of the triangle ha length 6cm. The prim ha length 20cm the prim ha

Liono4ka [1.6K]

The height of the prism whose volume is 600cm^3 is 10 cm

What is the Volume of a prism?

The total area that a prism takes up in three dimensions is known as its volume. It is defined mathematically as the result of the base's area and length.

Therefore,

Prism volume is equal to Base Area x Length.

Cubic units are the unit of measurement used to indicate a three-dimensional object's volume.

A triangular prism's volume

A triangular prism is a prism that has three rectangular sides and two triangle bases. The formula for a triangular prism's volume is as follows since the cross-section of a triangular prism is a triangle:

The volume of a Triangular Prism = (½) abh cubic units.

Where

a is a triangular prism's apothem length.

b is the triangular prism's base length.

h is a triangular prism's height.

The volume of a triangular prism is area x length

Volume = 600cm^3

base =6cm

length = 20cm

height=?

The area of the triangle is 1/2 x base x height = 3 x height

volume = area x length

volume= 3 x height x 20

600 = 60 x height

height = 10 cm

Learn more about the Volume of the Triangular prism from the link below

brainly.com/question/17004095

#SPJ4

5 0

2 years ago