Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed.

The correct answer is

(1)distribution property

(2) combine like term

(3)additional of property

(4)Division property of equality

Step-by-step explanation:

Given equation,

4(x+5)=9x+4x-34

(1)Applying distribution property to remove the fraction

⇒4x+4.5=9x+4x-34

⇒4x+20=9x+4x-34

(2) combine like term

⇒4x-9x-4x =-34-20

(3)Applying additional of property, for adding like terms

⇒-9x= -54

(4)Applying division property of equality to get the value of x

⇒x=6

The correct answer is

(1)distribution property

(2) combine like term

(3)additional of property

(4)Division property of equality

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b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

i can

step-by-step explanation: