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xz_007 [3.2K]
3 years ago
15

Examine the diagrams below. What is the angle pair relationship between the labeled angles? Use the relationship to write an equ

ation and solve for x.

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

4x-15+6x-35=180

Step-by-step explanation:

4x−15+6x−35=180

Step 1: Simplify both sides of the equation.

4x−15+6x−35=180

4x+−15+6x+−35=180

(4x+6x)+(−15+−35)=180(Combine Like Terms)

10x+−50=180

10x−50=180

Step 2: Add 50 to both sides.

10x−50+50=180+50

10x=230

Step 3: Divide both sides by 10.

10x/10=230/10

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Answer:

uhh either 4/4 1 or 2/2

Step-by-step explanation:

if the words covered by the light reflection says "the shaded part", then there are 4 total pieces, which means all four are shaded.

8 0
2 years ago
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Solve (x+1<5) n(x - 4 > -3).
vodka [1.7K]

Answer:

− 3/ x − 4  < x < 4

Step-by-step explanation:

4 0
3 years ago
The population of two different villages is modeled by the equations shown
vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

y=x^2-30x+540

y=20x+15

The population of both villages are same after x years after 1980 if

x^2-30x+540=20x+15

x^2-30x+540-20x-15=0

x^2-50x+525=0

Splitting the middle term, we get

x^2-15x-35x+525=0

x(x-15)-35(x-15)=0

(x-15)(x-35)=0

x=15,35

It means, after 15 or 35 years, the population will same.

For x=15, years is 1980+15=1995 and population is  

y=20(15)+15=315

For x=35, years is 1980+35=2015 and population is  

y=20(35)+15=715.

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0
3 years ago
Solve(x+y)^2=(x^2-2xy+y^2) and show your work
Shtirlitz [24]

(x + y)^2 = (x^2 - 2xy + y^2)

First distribute the ^2 on the left side of the equation to each term inside the parenthesis:

x^2+ 2xy + y^2

Now pick one of the variables to solve for and isolate it:

(solving for x)

x^2 + 2xy + y^2 = x^2 - 2xy + y^2

x^2+ 2xy = x^2 - 2xy

2xy = -2xy

-x = x

x = 0

When you solve for y in the equation it will turn out to be 0 as well

7 0
3 years ago
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A rectangle. one side is 2x + 7 and the other is x+3
saveliy_v [14]

\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}

6x + 20

Step-by-step explanation:

  • <u>To</u><u> </u><u>find</u><u> </u><u>:</u><u>-</u>

Perimeter of rectangle

  • <u>Given</u><u> </u><u>:</u><u>-</u>

Length = 2x + 7

Breadth/width = x + 3

  • <u>Solution</u><u> </u><u>:</u><u>-</u>

<em>We</em><em> </em><em>know</em><em> </em><em>that</em>

<em>\mathfrak {perimeter \: of \: rectangle =2(length + breadth) }</em>

<em>Now</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>substitute</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>length</em><em> </em><em>and</em><em> </em><em>breadth</em>

<em>\sf  \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\  \\  \\  \sf \longmapsto perimeter = 2 \{3x + 10 \} \\  \\  \\  \sf  \longmapsto perimeter = 6x + 20</em>

6 0
1 year ago
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