Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.

Answer:

B

Step-by-step explanation:

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The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

On a coordinate plane, parallelogram PQRS is shown.

Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).

In the diagram, SR = 4√2 and QR = √10.

We know SR = PQ and RQ = SP

Then the perimeter of the parallelogram is the sum of all sides.

P = PQ + QR + RS + SP

P = 4√2 + √10 + 4√2 + √10

P = 8√2 + 2√10

Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

More about the parallelogram link is given below.

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Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

Answer:

 (-18, 10)

Step-by-step explanation:

If the other end point is Q, the midpoint is ...

  M = (P +Q)/2

  2M = P +Q

  Q = 2M -P = 2(-4, 8) -(10, 6) = (-8-10, 16-6)

  Q = (-18, 10)

The other end point is (-18, 10).

Answer:

y = 20

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 5 when x = 3 and z = 4

5 = k × 3 × 4 = 12k ( divide both sides by 12 )

[tex]\frac{5}{12}[/tex] = k

y = [tex]\frac{5}{12}[/tex] xz ← equation of variation

When x = 6 and z = 8 , then

y = [tex]\frac{5}{12}[/tex] × 6 × 8 = [tex]\frac{5}{12}[/tex] × 48 = 5 × 4 = 20

Answer:

distributive property of multiplication!

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Answer:

2

Step-by-step explanation:

Answer:

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A can't be right because rectangles and trapezoids are both closed polygons.

B can't be right because both shapes can't even have 5 legs.

C is right because triangles only have one pair of parallel sides and rectangles have two pairs.

D trapezoids don't have two pairs of parallel sides because two sides intersect eventually.

The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:

1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5

3. Alex would represent it as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

A number line is a system that can be used to show the positions of all directed numbers.

Thus, the solutions to the given questions are stated below:

1. Let the scuba diver's previous deepest dive be represented by d . Such that,

2.5 d = - 80 .......... 1

So that;

d + p = -80 ............ 2

From equation 1,

2.5 d = -80

d = -32 feet

From equation 2,

-32 + P = - 80

p = -80 + 32

  = -48 feet

p = -48 feet

⇒ -32 + (-48) = -80

Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.

Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles

                                                         = 8.6 miles

Thus, since the distance to the store is more than 3.5 miles east of her home,  thus the appropriate inequality that represents the situation is:

   -5.1 + d > 3.5

The correct option is: A or C

3. Let the number be represented by n, so that:

[tex]\frac{1}{2}[/tex]n  > [tex]1\frac{1}{3}[/tex]

Alex would represent the statement as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

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Answer:

Step-by-step explanation:-0y+2-4x

Answer:

x = 6

Step-by-step explanation:

To get rid of the fraction at the left side of the equation, multiply both sides by 4

20x + 60 = 180 now subtract 60 from both sides

20x = 120 divide both sides by 20

x = 6

Answer:

10. 45/6  

Step-by-step explanation:

Whatever you do to the top you have to do to the bottom. To get 2 from 6 in the denominator you would have had to divide by 3 so I multiplied 15 by 3 to give make the two fractions equal to each other. If you are not sure if your answers are correct just divide the numerator by the denominator on the calculator and if they are equal values then it's correct.

Answer:

$16.50

Step-by-step explanation:

Answer:

Resultado es dos (2)

Answer:

2

Step-by-step explanation:

Answer:

vertical angle are congruent

because BD and CE intersect and intersecting lines make vertical angle

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

Answer:

It should be C. AAS

Step-by-step explanation:

There are symbols on the triangle indicating a shared right triangle, congruent angles, and a shared congruent side.

Hope this helps :)

Answer:

Yes, AAS

Step-by-step explanation:

Answer:

RT and KS

Step-by-step explanation:

isosceles triangle

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

Answer:

−5 17/20

Step-by-step explanation:

I took the test lol

The height of the trapezoid is 8.3 feet.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides,4 vertices and edges.

Area of a trapezoid = 0.5   x (sum of the lengths of the parallel sides) x height

70.55 = 0.5 x (11.4 + 5.6) x h

70.55 = 0.5 x (17) x h

70.55 = 8.5h

h = 70.55 / 8.5

h = 8.3 feet

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Answer:

3 kgs

Step-by-step explanation:

u can also weight that chicken and you spelled wrong word it is not chiken chicken

Answer: 3 to 4 ounces

The recommended single portion of chicken is 3 to 4 ounces, about the size of a deck of playing cards. Some people use the palm of their hand as a guide. Depending on the vendor, some chicken breasts are two or three times the recommended serving size.

Step-by-step explanation:

Answer:

Part A

The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts

Part B

2x + 4.50y = 15.25

Step-by-step explanation:

Step-by-step explanation:

x = pounds of pecans bought

y = pounds of almonds bought

x + y = 6

x×2 + y×4.5 = 15.25

x = -y + 6

(-y+6)×2 + y×4.5 = 15.25

-2y + 12 + 4.5y = 15.25

2.5y = 3.25

y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =

= 26/20 = 13/10 = 1.3 pounds

x = -y + 6 = -1.3 + 6 = 4.7 pounds

Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.

Answer:

b)

x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]

therefore x=97°

Answer:

d

Step-by-step explanation:

dddddddd

Answer: D

Step-by-step explanation:

EDGE 2023

Answer:

-2/5 -4/3 p and -4/3p+ (-2/5)

The mean, median, and mode of a distribution are measures of central tendency.

A measure of central tendency of a data set determines its central value. Measures of central tendency are mean median and mode.

Mean is the average of a set of numbers.

Mode refers to a value that appears most frequently in a data set.

Median is the number in the centre of a data set.

To learn more about mode, please check: https://brainly.com/question/300591

Answer:

A

Step-by-step explanation:

[tex]⇒[/tex]

x + y = 114

x - y = 58

Add the equations downward:

2x + 0y = 172

2x = 172

x = 86

x + y = 114

86 + y = 114

y = 114 - 86

y = 28

Answer: The two numbers are 28 and 86.

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Answer:

Approx 3 hours.

Step-by-step explanation:

750 + 255c = 1605

255 c = 855

c = approximately 3 hours.

Answer:

The crew worked 6 hours.

Step-by-step explanation:

$255 x 6 = $1530

Add the "Per Day Fee" of $75

$1530 + $75 = $1605 Dollars