Parallelograms PQRS and QRTU are standing on
the same base QR and between the same parallel
lines PT and QR. Prove that the area of
parallelograms PQRS and QRTU are equal.​

Answer:

[tex]\boxed {r = \frac{31}{3}}[/tex]

Step-by-step explanation:

To find the value of [tex]r[/tex], write an expression by using the following measurements of both [tex]\overline {DG}[/tex] and [tex]\overline {GM}[/tex], then you solve for [tex]r[/tex]:

[tex]\overline {DG} = r + 3[/tex]

[tex]\overline {GM} = 4r - 28[/tex]

[tex]r + 3 = 4r - 28[/tex]

Solve for [tex]r[/tex]:

[tex]r + 3 = 4r - 28[/tex]

[tex]x + 3 - 4r = 4r - 4r - 28[/tex]

[tex]-3r + 3 = -28[/tex]

[tex]-3r + 3 - 3 = -28 - 3[/tex]

[tex]-3r = -31[/tex]

[tex]\frac{-3r}{-3} = \frac{-31}{-3}[/tex]

[tex]\boxed {r = \frac{31}{3}}[/tex]

So, the value of [tex]r[/tex] is [tex]\frac{31}{3}[/tex].

Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

Answer:

I got all of them right on Imagine Math!

Step-by-step explanation:

Hope this helps!

Answer:

49,860

Step-by-step explanation:

Mario volunteered 49,860 in total.

Answer:

1<-4

Step-by-step explanation:

Answer:

-3 > -4 i believe i hope this helps!!

Step-by-step explanation:

Answer:

The answer is B, baking soda and vinegar.

answer: you would just substitute all of the values you see for b into the equation where there's a b

Answer:

55; 64; 73

Step-by-step explanation:

In the table, they provide a b value. Basically, you plug in the value of b they give you into the expression n = 9b + 19

if b = 4:

n = 9(4) + 19

n = 36 + 19

n = 55

if b = 5:

n = 9(5) + 19

n = 45 + 19

n = 64

if b = 6:

n = 9(6) + 19

n = 54 + 19

n = 73

Check your work with the last numbers in the table. They say the value of n = 82 when b = 7 so try it

if b = 7:

n = 9(7) + 19

n = 63 + 19

n = 82

Work is correct

Try not to overthink it ^-^

Answer:

Step-by-step explanation:

If we have odd number of consecutive numbers increasing by the same value (2) then the middle value of them is their mean:

220:5 = 44

Of course you can find them to be sure:

Consecutive even integers increase by 2.

So if 2x is the smallest of them (x is an integer), then the numbers are:

2x,  2x+2,  2x+4,  2x+6,  2x+8

So their sum:   10x+20

10x + 20 = 220  ⇒  10x = 200  ⇒  2x = 40

So the numbers are: 40, 42, 44, 46, 48

Answer:

44

Step-by-step explanation:

Answer:

She had 5 slices left over

Step-by-step explanation:

8 times 4 is 32 so then subtract 27 and you get 5

Answer:

96 miles

Step-by-step explanation:

The distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 miles

Answer:

a 180* clockwise rotation

Step-by-step explanation:

It is being flipped 180*.

Answer:

1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is

2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to

3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?

4. Which expression is equivalent to cos P cos 50 - sin P sin 50?

5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?

7. Which equation could be represented by the graph below?

8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are

9. Which diagram represents an angle of 7/4 pi; radians in standard position?

Step-by-step explanation:

Answer:

The one with the √

Step-by-step explanation:

If it has a √ it always means its irrational

Hope this helps!

Answer:

A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18

Answer:

1 over 7 to the 2nd power

Step-by-step explanation:

Answer:

By the order of operations, this expression evaluates to:

73 * 7 - 5 = 511 - 5 = 506

Step-by-step explanation:

You need an expression that is equivalent to this result once the expression is evaluated.

Answer:

8

Step-by-step explanation:

it goes up steeper

Answer:

3

Step-by-step explanation:

Because on a graph it is wider and less vertically stretch

Answer:

6.24/2.6 = 0.24

0.2 is the answer

Step-by-step explanation:

Answer:8.84 if you add -3.63 when sub 14.976 when multiplyed and 0.2 when devided

Step-by-step explanation:

i just use a simple mdethod and it was to do all the pfroblems then do what ever to them to get my answer

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 significant figures )

Answer:

14 and 15

Step-by-step explanation:

14.6628782986, this is the square root.

Answer:

85500

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

just a guess C;

The point that satisfies both the inequalities is (0, 3).

Correct option is (C).

Inequalities are mathematical formulas in which neither side is equal.

As per the given data:

We are given two inequalities, and we have to find out whether the points that are given in the options are satisfying the solution set of the given inequalities or not.

The inequalities are as follows:

x + y > 2

4x + y ≥ -1

For option (A). (2, 0)

Substituting the points in the given inequalities.

2 > 2 and 8 ≥ -1

Hence, this is incorrect.

For option (B). (0, 2)

Substituting the points in the given inequalities.

2 > 2 and 2 ≥ -1

Hence, this is incorrect.

For option (C). (0, 3)

Substituting the points in the given inequalities.

3 > 2 and 3 ≥ -1

Hence, this is correct.

For option (D). (0, -1)

Substituting the points in the given inequalities.

-1 > 2 and -1 ≥ -1

Hence, this is incorrect.

Hence, The point that satisfies both the inequalities is (0, 3).

Learn more about Inequality here:

brainly.com/question/30231190

#SPJ7

(The given question is incomplete, the complete question is given below)

Which point is in the solution set of the given system of inequalities?

x+y≥2

4x+y≥-1

A-(2, 0)B-(0, 2)C-(0, 3)D-(0, –1)

Answer:

−  1  <  x  <  5

Step-by-step explanation:

Answer:

11 apples

Step-by-step explanation:

7/5=1.4

1.4x8=11.2

11.2 rounded to 11

Answer:

Step-by-step explanation:

35 a + 34 b = 163.50 (given)

15 a + 17 b = 76.50 (given) multiply this equation by -2

-30 a - 34 b = -153.00 now add this equation to the first equation t get

5 a = 10.50 solve this for a (apple's price) then sub this value into one of the equations to find banana price, b.

Answer:

x = [tex]\frac{m}{k-n}[/tex]

Step-by-step explanation:

Given

kx = m + nx ( subtract nx from both sides )

kx - nx = m ← factor out x from each term on the left side

x(k - n) = m ← divide both sides by (k - n)

x = [tex]\frac{m}{k-n}[/tex]

Solving for x in the equation, kx = m + nx, we would make x the subject of the formula to solve for x as: [tex]\mathbf{x = \frac{m}{k - n}}[/tex]

Given:

kx = m + nx

[tex]kx = m + nx[/tex]

[tex]kx - nx = m + nx - nx\\\\kx - nx = m[/tex]

[tex]x(k - n) = m[/tex]

[tex]\frac{x(k - n)}{k - n} = \frac{m}{k - n} \\\\x = \frac{m}{k - n}[/tex]

Therefore, solving for x in the equation, kx = m + nx, we would make x the subject of the formula to solve for x as: [tex]\mathbf{x = \frac{m}{k - n}}[/tex]

Learn more here:

https://brainly.com/question/21727387

Answer:

Fractions are not even numbers or odd numbers, because they are not whole numbers. They are only parts of numbers, and can be written in different ways.

Step-by-step explanation:

Answer: m∠PQR = 134°

Step-by-step explanation:

Given:  PS is line segment. Q is the point between segment PS. QR is another line segment passes through segment PS.

That means ∠PQR and ∠SQR are linear pair  [Linear pair is a pair of two angles made on one line and their sum is 180°]

⇒  ∠PQR +  ∠SQR  = 180°  (i)

Since, ∠PQR is (3x + 5)° and ∠ SQR is (x + 3)°   [given]

Put this in (i), we get

(3x + 5)° + (x + 3)° = 180°

⇒ 3x + 5 + x + 3 = 180

⇒ 4 x + 8 = 180

⇒ 4 x = 180-8

⇒ 4 x = 172

Divide both sides by 4

⇒  x= 43

So,  ∠PQR=  (3(43) + 5)° = 134°

Hence, m∠PQR = 134°

The measure of m ∠PQR is 134 degrees.

PS is a line segment.

Q is the point between segment PS.

QR is another line segment that passes through segment PS.

The sum of two angles made on one line is equal to 180 degrees.

[tex]\angle \rm PQR + \angle SQR = 180[/tex]

Where the angle QPR is (3x + 5) degree and angle SQR is (x + 3) degree.

Substitute all the values in the equation

[tex]\angle \rm PQR + \angle SQR = 180\\\\(3x+5) + (x+3) =180\\\\3x+5+x+3=180\\\\4x+8=180\\\\4x=180-8\\\\4x=172\\\\x = \dfrac{172}{4}\\\\x =43[/tex]

The value of x is 43 degrees.

Therefore,

The measure of m ∠PQR is;

[tex]\rm m \angle PQR = 3x+5 = 3(43) + 5= 129+5=134[/tex]

Hence, the measure of m ∠PQR is 134 degrees.

To know more about the Properties of triangles click the link given below.

https://brainly.com/question/9404288

Answer:

20

Step-by-step explanation:

Step 1:

c - 17 = 3       Equation

Step 2:

c = 3 + 17      Add 17 on both sides

Answer:

c = 20

Hope This Helps :)

Answer:

a

Step-by-step explanation:

-3 feet every second x 8 seconds