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3 years ago

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40 + x + 25= 180

1 answer:

sveta [45]3 years ago

6 0

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

$\qquad \sf \dashrightarrow \:40 + x + 25 = 180$

$\qquad \sf \dashrightarrow \:x + 65 = 180$

$\qquad \sf \dashrightarrow \:x = 180 - 65$

$\qquad \sf \dashrightarrow \:x = 115$

I hope you understood the procedure, please let me know if you have any doubts

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I need help finding the perimeter

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Measure the sides. And when you get all of the sides add them I'll and get the perimeter I think.

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3 years ago

Please don't answer if you don't know.

erma4kov [3.2K]

Since they are vertical angles, they are congruent:

2x + 2 = 3x - 52

Solving:

54 = x

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3 years ago

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What’s the answer need it ASAP

Makovka662 [10]

Answer:

The pair of solutions are $(-2,-1) \ and\ (3,14)$

Step-by-step explanation:

$1)y=x^2+2x-1\\2)y-3x=5$

Solving for $y$ in equation 2.

$y-3x=5$

Adding $3x$ both sides.

$y-3x+3x=5+3x$

$y=5+3x$

Substituting value of $y$ in equation 1.

$5+3x=x^2+2x-1\\$

Simplifying it further. Subtracting $5$ from both sides.

$5+3x-5=x^2+2x-1-5\\$

$3x=x^2+2x-6\\$

Subtracting $3x$ both sides.

$3x-3x=x^2+2x-6-3x\\$

$0=x^2-x-6\\$

Now we have a quadratic equation to solve.

$x^2-x-6=0$

Solving quadratic by factor method.

Splitting the middle term into two terms $mx \ and\ nx$ such that $mx+nx=-x \ and (mx)(nx)=-6x^2$

By factoring 6 we can get the terms.

$mx=-2x \ and\ nx=3x$ As we know $[2x-3x=-x \ and\ (2x)(-3x)=-6x^2]$

So, the equation would be

$x^2+2x-3x-6=0$

Now, we factor in pairs.

Taking $x$ as common factor from first two terms and taking $-3$ common from last two terms.

$x(x+2)-3(x+2)=0$

Taking $(x+2)$ as common factor from the whole.

$(x+2)(x-3)=0$

The roots can be written as:

$x+2=0 \ and\ x-3=0$

Solving for $x$ from the above we get

$x=-2 \ and\ x=3$

Plugging the values of $x$ in the equation $y=5+3x$

When $x=-2$

$y=5+3(-2)$

$y=5-6$

$y=-1$

So $(-2,-1)$ is one solution.

When $x=3$

$y=5+3(3)$

$y=5+9$

$y=14$

So $(3,14)$ is another solution.

8 0

3 years ago

Tanvi opened a savings account and deposited $400.00 as principal. the account earns 13%

Sergeu [11.5K]

The amount of the money after 7 years with a rate of 13% with an initial amount of $400 will be $ 941.04.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Tanvi opened a savings account and deposited $400.00 as principal.

The account earns 13% interest, compounded annually.

Then the balance after 7 years will be

We know the compound interest formula.

A = P (1 + r)ⁿ

We have

P = $ 400

r = 13%

n = 7 years

Then we have

A = 400 x (1 + 0.13)⁷

A = 400 x 1.13⁷

A = 400 x 2.3526

A = $ 941.04

More about the compound interest link is given below.

brainly.com/question/25857212

#SPJ1

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Korolek [52]

K = C^2 / AB

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Hope that helps

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4 years ago

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