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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

Answer:

Let the width of the border be 'x' inch.

Area of border = Area of rectangle ABCD - Area of rectangle PQRS

Area of rectangle ABCD =

= square units.

Area of rectangle PQRS =

= 117 square units.

So, area of border =

As it is given that the area of border is 48 square units.

So,

So, the complete equation is .

Now, we will find 'x' in the equation ,

(x-1) (x+12)=0

So, x = 1 or x = -12

Width can'not be negative.

So, x = 1 .

Therefore, the width of the border can'not be 2.5 inch.

Therefore, the width of the border is 1 inch.

Step-by-step explanation:

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For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you

zzz [600]

Answer:

x = 7
y = 97°
z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

y = 180°-83° = 97°

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

(7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

10x +27 = 97 . . . . . . . collect terms

10x = 70 . . . . . . . . subtract 27

x = 7 . . . . . . . . divide by 10

The side marked Z is congruent to the opposite parallel side, so ...

z = 19

The missing measures are ...

x = 7
y = 97°
z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

(7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0

3 years ago

a party rental company has chairs and tables for rent. the total cost to rent 3 chairs and 2 tables is $26. the total cost to re

Alexus [3.1K]

Let the cost of renting a chair be x and for renting a table be y than 5x + 3y = 31 and 2x + 6y = 52 2x+ 6y = 52 can be further simplified to x + 3y = 26 now try solving for x and y... best of luck:D

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4 years ago

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Please help! Limited time!

posledela

Answer:

Step-by-step explanation:

Cress to the person below me that’s who I got anwser from hah

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3 years ago

The first quartile of a data set is 31, and the third quartile is 47. Which of these values in the data set is an outlier?

o-na [289]

The answer to this is D

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3 years ago

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Help with math?Please? ANYONE

AlekseyPX

Answer:

(-1, 1)

Step-by-step explanation:

Hi there!

We want to solve the system of equations given as:
2x-3y=-5

3x+y=-2

Let's solve this equation by substitution, where we will set one variable equal to an expression containing the other variable, substitute the expression as the variable that it equals, solve for the other variable (the variable that the expression contains), and then use the value of the solved variable to find the value of the first variable
In the second equation, we have y by itself; therefore, if we subtract 3x from both sides, then we will get an expression that y is equal to.

So subtract 3x from both sides

y=-3x-2

Now substitute -3x-2 as y in the first equation.
It will look something like this:

2x - 3(-3x-2)=-5

Now do the distributive property.

2x+9x+6=-5

Combine like terms

11x+6=-5

Subtract 6 from both sides

11x=-11

Divide both sides by 11

x=-1

Now substitute -1 as x in the equation y=-3x-2 to solve for y:

y=-3(-1)-2

multiply

y=3-2

Subtract

y=1

The answer is x=-1, y=1; this can also be written as an ordered pair, which would be (-1, 1)
Hope this helps!
If you would like to see another problem for additional practice, take a look here: brainly.com/question/19212538

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2 years ago

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