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3 years ago

10

In DEFG, what is DF?

1 answer:

Greeley [361]3 years ago

7 0

First you need to find the X You know that since its a parallelogram opposite sides are congruent so you would do the following equation

(The work below goes vertical)
2x+3=3x-1
-3x-3I-3x-3
---------------
-x =-4
/-1 /-1
----------------
x= 4

So now that we know x=4 we plug it into the side
4+2=6

Then you multiply is by two since df goes across the whole shape and u get 12

Hope that helps

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2 years ago

7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

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<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

<em>Difference</em> = subtract
<em>Twice</em> = double
<em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to <em>x.</em>
Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

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2 years ago