Let be "j" the amount of money in dollars that Jack has, "w" the amount of money in dollars that Walker has and "t" the amount of money in dollars that Trust has.

You know that they have $100 altogether, then you can write the following equation:

$j+w+t=100$ [Equation 1]

Jack has $20 more than Walker, then:

$j=w+20$ [Equation 2]

And Trust has $14 more than walker, then you can write this equation:

$t=w+14$ [Equation 3]

Substitute the Equation 2 and the Equation 2 into the first one:

$j+w+t=100\\\\(w+20)+w+(w+14)=100$

Now, solve fo "w":

$w+20+w+w+14=100\\\\3w+34=100\\\\3w=100-34\\\\w=\frac{66}{3}\\\\w=22$

Finally, substiute the value of "w" into the Equation 2 and evaluate:

$j=w+20\\\\j=22+20\\\\j=42$

7 0

3 years ago

A person is standing on top of a six foot platform, looking down into a mirror. The person can see the top of the flagpole in th

Murljashka [212]

<h3>Answer: The flagpole is <u>16 feet tall</u></h3>

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Explanation:

The small markings for the angles in the diagram help us see how the angles pair up and how those pairs are congruent.

The square angle markers indicate we have 90 degree angles (aka right angles). That's one pair of congruent angles.

The other pair are the angles marked with small curves. We don't need to worry about the angle measure of these. All we care about is we have a second congruent pair of angles.

Having 2 sets of congruent angles allows us to use the AA (angle angle) similarity theorem.

The similar triangles allow us to set up the proportion below and isolate x.

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Let's solve for x.

6/x = 4.5/12

6*12 = x*4.5

72 = 4.5x

4.5x = 72

x = 72/(4.5)

x = 16

The flagpole is 16 feet tall.

This is somewhere between a 1 and 2 story building in terms of height.

8 0

3 years ago

The length of a rectangle is twice the width. The area is 128 yd^2. Find the length and width.

melomori [17]

The length is 14 yd and the width is 7 yd because 7•2=14 and 14•7= 128 yd²

8 0

3 years ago