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VladimirAG [237]

3 years ago

13

Plot a triangle with vertices located at (4, -2) (1, -2) and (4,5) on this coordinate plane To graph the triangle, select the pl

aces on the coordinate plane to plot the vertices. Your vertices will be connected in the order that they are plotted Here is the grid.

1 answer:

umka21 [38]3 years ago

4 0

Alvin and the chipmunks is the best show to ever ever exists prove me wrong

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em> = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em> = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em> = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

4 years ago

How can you construct perpendicular lines and prove theorems about perpendicular lines

omeli [17]

Answer:

See descriptions below.

Step-by-step explanation:

To construct a perpendicular bisector, draw a line segment. From each end of the line segment, draw arcs above and below which intersect from each side. Be sure to maintain the same radius on each. Where the arcs intersect above and below, mark points. Connect these two points. This is a perpendicular bisector.

To prove theorems about parallel lines, use angle relationships. For instance, when two parallel lines are cut by a transversal, specific angle are congruent. When these relationships are congruent, you must have parallel lines:

Alternate Interior
Alternate Exterior
Corresponding Angles
Same side interior add to 180

7 0

3 years ago

A pattern on a quilt is made up of pieces of fabric in the shape of parallelograms. One piece of fabric is shown.

Vlad1618 [11]

Area of one piece is 26.24cm ^2 or just 13.12cm

4 0

3 years ago

If K = (AB)/(A+B) , then B = ?

marysya [2.9K]

Lets do

$\\ \sf\longmapsto K=\dfrac{AB}{A+B}$

$\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{A+B}{AB}$

$\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{1}{A}+\dfrac{1}{B}$

$\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{1}{K}-\dfrac{1}{A}$

$\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{K-A}{AK}$

$\\ \sf\longmapsto B=\dfrac{AK}{K-A}$

6 0

3 years ago

The manager at a concert venue keeps track of the number of adult tickets and student tickets sold each day and the total money

poizon [28]

Answer: the number of adult and student tickets sold are (45, 29)

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of student tickets that were sold.

On Wednesday, a total of 74 tickets were sold. This means that

x + y = 74

x = 74 - y- - - - - - - - - - - - - - 1

If adult tickets are sold for $15 and student tickets are sold for $11 and the money collected was $994, it means that

15x + 11y = 994- - - - - - - - - - - - - - 2

Substituting equation 1 into equation 2, it becomes

15(74 - y) + 11y = 994

1110 - 15y + 11y = 994

- 15y + 11y = 994 - 1110

- 4y = - 116

y = - 116/ - 4

y = 29

Substituting y = 29 into equation 1, it becomes

x = 74 - 29 = 45

6 0

3 years ago