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GarryVolchara [31]
3 years ago
5

Help please...........

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

Step-by-step explanation:

so the probably seems impossible b/c there is some "implied" knowledge. You are supposed to remember that interior angles of a triangle add up to 180 °.   Which I bet you knew.. .huh

so let's put that knowledge to work to help us solve this

we can say that all of the angles add up to 180 like this:

180 = (x-4) + (11x-11) + (x+13)

see? now group all the like terms, that is, put the x'es together & the numbers

180 = 13x -2

see?  I just grouped the x terms and the constant terms, now move the 2 arcoss the equal sign to the other side, by adding 2 to both sides

182 = 13x

see?  now divide both sides by 3  :)

14 = x  

now we know what x is so plug that into the expression for the C angle

∠C = x-4

∠C = 14-4

∠C = 10 °

there you go.   :)

best of luck, just leave a message in the comments if you have more questions  , I'll see it there  :)

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Emily and Tammy each opened checking accounts on the same day, intending to withdraw money for weekly expenses. Emily opened her
Lunna [17]

Answer:

15 weeks

Step-by-step explanation:

8 0
3 years ago
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 1
Maksim231197 [3]

Answer:

Bill by $85

Step-by-step explanation:

Bill :  Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given  is then subtracted from the resulting value.

Compounded annually for 6 years at 9 % interest Bill would have $8385.50.

Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.

P is the principal amount, $5000.00.

r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

t is the time involved, 6year(s) time periods.

So, t is 6year time periods.

To find the simple interest, we multiply 5000 × 11 × 6  = 3300

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 5000.00 + 3300.00 = 8300.00

As you can see Bill has more by $85.

^Check yourself

5 0
3 years ago
Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)
natima [27]

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any  trial and error.

For this case, the given quadratic expression is:

4x^2 + 28x + 49

So we've to find two numbers such that:

Their sum = b =  28

Their product = ac = 4\times 49 = 196

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 =  2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49  = (2x+7)(2x+7)

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

8 0
2 years ago
6. Dina is moving and he is going to rent a moving van. She will need it for one day. The cost of renting the van $145 for the d
Marat540 [252]

Answer:

403.75

Step-by-step explanation:

we can write the following equation

.75m+145=price

we just need to plug in 345 for m

.75*345+145=price

put this into a calculator and get 403.75

6 0
3 years ago
What is the least 10-digit whole number?
Murljashka [212]
1000000000 because less than this number is 9 digits and more than this numbet is not least
5 0
3 years ago
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