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Leno4ka [110]
3 years ago
13

Any side of a parallelogram is a

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
The answer is Rhombus
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Solve the system of equations using substitution and Elimination
juin [17]
<h2>Greetings!</h2>

Answer:

y = \frac{-18}{7} and x = \frac{50}{7}

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply  need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

16 * 10 = 160

-10x - 90y = 160

Now we can add the two equations:

-10x + 10x = 0

-90y + 20y = -70y

160 + 20 = 180

-70y = 180

70y = -180

7y = -18

y = \frac{-18}{7}

Now plug \frac{-18}{7} into the second equation:

10x + 20(\frac{-18}{7}) = 20

10x - \frac{360}{7} = 20

Move the \frac{360}{7} over to the other side, making it a positive:

10x = 20 + \frac{360}{7}

10x = \frac{500}{7}

Divide both sides by 10:

x = \frac{50}{7}

So y = \frac{-18}{7} and x = \frac{50}{7}


<h2>Hope this helps!</h2>
5 0
3 years ago
Combine Like Terms and Eliminate Parenthesis.<br>5z-[2z-(13z+8)]
katen-ka-za [31]

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is 13z+8. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

2z-13z-8

and 2z and -13z are like terms, so we can sum them:

2z-(13z +8) = 2z-13z-8 = (2-13)z-8 = -11z-8

Finally we arrive to the whole expression, which is

5z-(-11z-8) = 5z+11z+8 = (5+11)z+8=16z+8

Because, again, 5z and 11z were like terms.

6 0
3 years ago
Two bonds are available on the market as follows:
erastova [34]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

P represents the principal or initial amount invested.

R represents the interest rate.

T represents duration of the investment in years

From the information given,

P = $750

R = 5%

T = y years

I = the total return of Bond 1 - principal

I = 1000 - 750 = $250

Therefore,

250 = (750 × 5 × y)/100

250 = 37.5y

y = 250/37.5

y = 6.7 years

7 0
3 years ago
Read 2 more answers
Find the sum.<br> 2x<br> x2 - 6x + 9 + x2 + 2x - 15
galina1969 [7]

Answer:

\large\boxed{x^2-6x+9+x^2+2x-15=2x^2-4x-6}

Step-by-step explanation:

x^2-6x+9+x^2+2x-15\qquad\text{combine like terms}\\\\=(x^2+x^2)+(-6x+2x)+(9-15)\\\\=2x^2-4x-6

5 0
3 years ago
One-hundred students were allowed to re-take an exam for their math course. The probability distribution shows how studying for
Likurg_2 [28]

Answer:

Step-by-step explanation:

0.912 (C) is the probability that a student who saw an increase in their grade had studied

8 0
3 years ago
Read 2 more answers
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