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algol13
2 years ago
15

Consider parallelogram ABCD. If AC¯¯¯¯¯¯¯¯=2x+15 and BD¯¯¯¯¯¯¯¯=5x−12, what does the value of x need to be so that the parallelo

gram is a rectangle?
A: 1
B: -9
C: 9
D: 3/7
Mathematics
1 answer:
Marianna [84]2 years ago
4 0

Answer:

9

Step-by-step explanation:

I took the quick check

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How to solve the equation 9v = 8 + v
zloy xaker [14]
Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

The distributive property is used mostly for simplifying parentheses in expressions/equations. 

For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac

So, now we can simplify our expression.

6(x + 1) = 6x + 6

Now let's solve your equation.

9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8

So, v is equal to 1.
5 0
2 years ago
3 friends' meals at a resuraunt cost $13 $14 and $11. Use perentheses to write two diffrent expressions to show how much they sp
klemol [59]

Answer:

38

Step-by-step explanation:

(11+13)+14

11+13=24

24+14=38

8 0
3 years ago
Find the equation of the line that is parallel and passes through the point (9,6) find the equation of the line perpendicular
masya89 [10]
Any line parallel to this line can be written as y=-2/3x+c and passes through (9,6).thus 6=-2/3(9)+c.c-6=6.c=12.equation is y=-2/3x+12.
3 0
3 years ago
What numbers when multiplied gives me -6 and when added 5.
Tcecarenko [31]

Answer:

The answer is -11

Step-by-step explanation:

-11 + 5 = -6

Mark as brainliest ^-^

6 0
2 years ago
The area of the triangle below is 33.62 square feet. What is the length of the base?
Lemur [1.5K]

Answer:

8.2 ft

Step-by-step explanation:

33.62 * 2 / 8.2 = 8.2 ft

4 0
3 years ago
Read 2 more answers
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