Given:
MNOP is a parallelogram
Prove:
PM  ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)

Answer:

$11.40

Step-by-step explanation:

$38 for 2 people to go to the movie theater.

38/2=19

$19 for each person to go to the movie theater.

40% of the money is for snacks, the movie ticket must be 60% of the money.

19×60%

19×60/100=11.4

The cost of each movie ticket is $11.40

Answer:

$11.4

Step-by-step explanation:

Total Cost = $38

Snacks:

=> [tex]\frac{40}{100}* 38[/tex]

=> $15.2

Left for 2 tickets:

=> $38-$15.2

=> $22.8

For 1 ticket:

=> $22.8/2

=> $11.4

Answer:

8/49

Step-by-step explanation:

4/7 ÷7/2

Copy dot flip

4/7 * 2/7

Multiply the numerators

4*2 = 8

Multiply the denominators

7*7= 49

numerator over denominator

8/49

Answer: 8/49

Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.

So 4/7 ÷ 7/2 means the same thing as 4/7 · 2/7.

So when dividing by a fraction, we can just multiply by the

reciprocal of that fraction or that fraction flipped.

Now multiply across the numerators

and denominators to get 8/49.

Since 8/49 is in lowest terms, it's our final answer.

Answer:

volume of water in the tank when it its half full

The capacity of the water tank = (5.04) /2 = 2.52 m³

2,520 litres

Step-by-step explanation:

Dimensions of a water tank:

Length (l) = 2.0 m,

wide (w) = 1.4 m,

Depth (h)= 1.8 m,

Volume of the tank (V)

LWH

2.0m × 1.4m × 1.8 m

= 5.04 m³

= 5.04 × 1000 litres

/* 1m³ = 1000 litres */

5,040 litres

Therefore,

The capacity of the water tank = 5.04 m³

5,040 litres

Answer:

a. rational - It can be written as a fraction so it's rational.

b. rational - Simplified it equals to 9, a whole, therefore rational, number.

c. irrational - Even once simplified, it contains a square root, therefore it's irrational.

d. rational - It can be written as a fraction so it's rational.

e. irrational - It cannot be simplified from a square root, therefore it's irrational.

Answer:

C. (x, y) -> (x - 4, y + 5)

Step-by-step explanation:

A is at (2, -2)

A' is at (-2, 3)

To get from 2 to -2, you must subtract 4, so (x - 4)

To get from -2 to 3, you must add 5, so (y + 5)

(x - 4, y + 5)

I hope this helps :))

The algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure should be option C. (x, y) -> (x - 4, y + 5)

Since

A is at (2, -2)

A' is at (-2, 3)

So,

To get from 2 to -2, you should deduct 4, so (x - 4)

And,

To get from -2 to 3, you should deduct 5, so (y + 5)

Therefore,

(x - 4, y + 5)

Learn more about algebraic here: https://brainly.com/question/24754151

Answer:

a) 1/8

b) 1/9

c) 1/10,000

Step-by-step explanation:

When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:

x^-y = 1/x^y      (i apologize, exponents on here are really messy)

Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8

b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9

c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.

Sorry fractions and exponents don't work well on my computer. Hope this helps!

Answer:

(or 132 inches)

Step-by-step explanation:

Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.

The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.

132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.

Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.

The slope of the line represented by this equation is 4/5.

We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).

This equation is in slope-intercept form, or

y = mx + b where m is the slope and b is the y-intercept.  The number in the m position in our equation is 4/5, so the slope is 4/5

Hope this helps!

please mark me brainliest!

Answer:

y = −2x + 13

Step-by-step explanation:

equation of line slope intercept form is y = mx +c

where m is slope and c is y intercept

when two lines are parallel then their slope are equal.

_______________________________________

Given line

CD

y = −2x − 2

it is in form of y = mx +c

thus, m = -2

Given that other line parallel to CD  y = −2x − 2

Thus, its slope will be -2.

Let the equation of required line be

y = mx +c (as slope will be -2)

Then equation of line will be

y = -2x +c

Given that this line contains (4,5) it will satisfy the equation y = -2x+c

using x = 4 and y = 5

we have

y = -2x +c

5 = -2*4 + c

=> 5 = -8 + c

=> c = 5+8 = 13

Thus, equation of line parallel to  y = −2x − 2 and containing point(4,5) is

y = −2x + 13

Answer:

A. y = −2x + 13

Step-by-step explanation:

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just got it right EDG 2021

Answer:

36

Step-by-step explanation:

I cant be asked

Answer:

the answer is x = ( 5 + r )²

Step-by-step explanation:

I hope this was helpful

Answer: $479.20

Step-by-step explanation:

[tex]499.20*0.04=19.968[/tex]

[tex]round \\[/tex] [tex]19.968[/tex]

= 20

tax= $20

[tex]499.20-20=479.2[/tex]

The price of the TV before tax was $479.20

Answer:

63 minutes or 1 hour 3 minutes

Step-by-step explanation:

We can use ratios to solve

18 minutes    x minutes

--------------- = --------------

2 bowls          7 bowls

Using cross products

18*7 = 2x

Divide by 2

18/2 *7 = x

63 minutes

Answer: 63 minutes or 1 hour and 3 minutes

Step-by-step explanation:

18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.

18 / 2 = 9

Now multiply that by 7 to find out how long it takes to make 7 bowls.

9 * 7 = 63

63 minutes

Both of them can complete 7/12 of the job in  2 hours.

Rate is the mathematical term use to show how one quantity varies with a standard quantity.

Analysis:

If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour

If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.

So both of them would do the same job combine in 1 hour = 1/8 + 1/6

LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24

In 2 hours they would complete = 7/24 x 2 = 7/12

In conclusion, both of them can do 7/12 of that job in  2 hours.

Learn more about rate: brainly.com/question/24304697

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Answer: 40 miles per hour

Step-by-step explanation:

first you do 300 divided by 60 to see how many hoiurs there is in 300 min. (5)

then you devide 200 by 5 to get 40 miles per hour

Answer:

Option D. 91/4950

Step-by-step explanation:

The following data were obtained from the question:

Barcelona (B) = 23

Real Madrid (R) = 23

Liverpool (L) = 22

Manchester City (M) = 18

Juventus (J) = 14

Total (T) = 100

Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:

P(J1) = n(J) /n(T)

P(J1) = 14/100

Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e

Juventus = 13

Total = 99

Therefore, the probability that the 2nd pick is Juventus is given below:

P(J2) = 13/99

Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:

P(J1 and J2) = P(J1) x P(J2)

P(J1) = 14/100

P(J2) = 13/99

P(J1 and J2) = P(J1) x P(J2)

P(J1 and J2) = 14/100 x 13/99

P(J1 and J2) = 7/50 x 13/99

P(J1 and J2) = 91/4950

Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950

Answer:

b)7c∛d⁵

or

c) 7c∛d⁵

Both options are the same

Step-by-step explanation:

In the above diagram, we are asked to simplify this:

= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d

Collect the like terms

=  ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d

= c¹/⁴ × 1/2c³/⁴  ×  2d⁴/³ × 7d¹/³

= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)

= 1/2c(¹) × 14d(⁵/³)

= 1/2c× 14d(⁵/³)

Collect the whole number together

= 1/2× 14 [C   × d(⁵/³)]

= 7cd⁵/³

Writing it in a radical form

= 7c∛d⁵

Answer:

5x - 3y = -21

5x - 3y

= 5(-9) - 3(-8)

= -45 + 24

= -21

the answer is (-9,-8)

Answer:

CD = 9

Step-by-step explanation:

ΔADE is similar to ΔBCD

Such that:

AD is similar to CD

BD is similar to ED

AE is similar to BC

Taking the proportion of their sides to find the unknown sides CD

=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]

Cross Multiplying

=> 2(CD) = 3*6

=> CD = 18/2

=> CD = 9

Answer:

10 miles

Step-by-step explanation:

A & B is 100

A & C is 110

the difference is 10, Which should make B & C 10 miles

The distance from city B to city C will be 10 miles.

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let A, B, C, and D be the collinear points. Then the condition of the collinear will be

AB + BC = AC

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles.

The distance from city B to city C will be given as,

AB + BC = AC

100 + BC = 110

BC = 110 - 100

BC = 10 miles

The distance from city B to city C will be 10 miles.

More about the collinear points link is given below.

https://brainly.com/question/1593959

#SPJ2

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer and Step-by-step explanation:

Well, the product would not change much. If we took the problem -3*7 it has one negative number and one positive number. Now, the rule is when there is two different signs, the answer becomes negative right away. So, your answer would be -21. If the integers were the same, the equation would be 3*7=21. Therefore, there is not much change in the product only the signs.  

Answer: 84 3/8 or 84.375 inches cubed

Step-by-step explanation:

4 1/2 * 5 = 22 1/2

22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8

675/8 = 84 3/8 or 84.375

Answer:

y-5 = 3/2(x+3)

Step-by-step explanation:

The point slope form of the equation for a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

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

y-5 = 3/2(x+3)

Answer:

y-5 = 3/2(x+3)

Step-by-step explanation:

I did ze math

Answer:

[tex]3\frac{17}{24}[/tex]

Step-by-step explanation:

[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]

14x6= 84/6

84/6 +1/6 = 85/6

10 x 24= 240/24

240/24 +11/24 = 251/24

85x 4 = 340

340-251= 89/24

3 17/24

Answer:

2 hours

Step-by-step explanation:

We want to find the unit rate, or time per flower arrangement.

To find the unit rate, divide the number of hours by the number of flower arrangements.

hours/flower arrangements

It takes 20 hours to assemble 10 flower arrangements.

20 hours/ 10 flower arrangements

Divide 20 by 10 (20/10=2)

2 hours/ flower arrangement

It take 2 hours to assemble one flower arrangment.

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

Answer:

r = 12

Step-by-step explanation:

From the figure attached,

QP is a tangent to the circle O at the point P.

Therefore, by the property of tangency,

OP ⊥ QP

By applying Pythagoras theorem In right triangle QPO,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(OQ)² = (OP)² + (PQ)²

(25 + r)² = (35)² + r²

625 + r² + 50r = 1225 + r²

50r = 1225 - 625

50r = 600

r = 12

Therefore, r = 12 units is the answer.

Answer:

r=12

Step-by-step explanation: