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3 years ago

Plz solve type 2 and type 3 or any one is enough

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Type2
i.a=120°
ii.x=130°
iii.a=60°
iv.x=60°
y=50°

type3
i.a=120°
ii.a=80°
iii.2a+3a=180
5a=180
a=36°
iv.a=120°
b=360-110-60-120=70°

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Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha

vodomira [7]

we have

$\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x$

Combine like terms in both sides

$(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

we know that

$(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x$

substitute in the expression above

$\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$ -----> equation A

Multiply equation A by $5*3*2=30$ both sides

$30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)$

$48x+20=15-6x$ ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$48x+6x=15-20$

$54x=-5$ ---------> equation C

Solve for x

$x=-\frac{5}{54} =-0.09$

We are going to proceed to verify each case to determine the solution.

Case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

the case a) is equal to the equation A

the case a) have the same solution that the given equation

Case b) $18x+20+30x=15-6x$

Combine like terms in left side

$(18x+30x)+20=15-6x$

$(48x)+20=15-6x$

the case b) is equal to the equation B

the case b) have the same solution that the given equation

Case c) $18x+20+x=15-6x$

Combine like terms in left side

$(18x+x)+20=15-6x$

$(19x)+20=15-6x$

$19x+6x=15-20\\25x=-5\\x=-0.20$

$-0.20\neq -0.09$

therefore

the case c) not have the same solution that the given equation

Case d) $24x+30x=-5$

Combine like terms in left side

$54x=-5$

the case d) is equal to the equation C

the case d) have the same solution that the given equation

Case e) $12x+30x=-5$

Combine like terms in left side

$42x=-5$

$x=-5/42=-0.12$

$-0.12\neq -0.09$

therefore

the case e) not have the same solution that the given equation

therefore

the answer is

case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

case b) $18x+20+30x=15-6x$

case d) $24x+30x=-5$

7 0

4 years ago

Read 2 more answers

A rectangular garden has a length of (2y - 4) feet and a width of 4y^2 feet. How do you find the perimeter of the garden

Ber [7]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{8 {y}^{2} + 4y - 8}}}}}$

Step-by-step explanation:

Given,

Length of a rectangular garden ( l ) = 2y - 4

Width of a rectangular garden ( w ) = 4y²

Perimeter of the garden = ?

Finding the perimeter of a rectangular garden having length of 2y-4 and width of 4y²

$\bold{ \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}}$

$\longrightarrow{ \sf2(2y - 4 + 4 {y}^{2}})$

Distribute 2 through the parentheses

$\longrightarrow{ \sf{4y - 8 + 8 {y}^{2} }}$

Arrange it in standard form

$\longrightarrow{ \sf{8 {y}^{2} + 4y - 8}}$

Hope I helped!

Best regards! :D

3 0

4 years ago

(1,9); slope 4 answer

Yuliya22 [10]

Answer:

Step-by-step explanation:

3 0

4 years ago

Add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3

ANTONII [103]

The addition of the polynomial $x^{3}+3xy-2xy^{2} +y^{3}$ with $2x^{3}-5x^{2} y-3xy^{2}-2y^{3}$ is $3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}$ .

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add $x^{3}+3xy-2xy^{2} +y^{3}$ and $2x^{3}-5x^{2} y-3xy^{2}-2y^{3}$

The sign after addition or subtraction will always be of the variable having more value.

$(x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})$

On adding like terms with each other

⇒ $(x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})$

⇒ $3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}$

Hence the addition of the polynomial $x^{3}+3xy-2xy^{2} +y^{3}$ and $2x^{3}-5x^{2} y-3xy^{2}-2y^{3}$ is $3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}$ .

Learn more about polynomial here :

brainly.com/question/1487158

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5 0

1 year ago

The triangle below has a total perimeter of 450 cm:

Korvikt [17]

Equation: 450 = 128 + 150 + n

work:

1st step:
128+150 = 278

2nd step:
450-278 = 172

answer: 172

3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450

3 0

3 years ago