Heya!
[tex] \underline{ \underline{ \text{QUESTION : }}}[/tex] In the given quadrilateral PQRS, the mid-points of the sides PQ , QR , RS and SP are A , B , C and D respectively. Prove that ABCD is a parallelogram.

Answer:

32%

Step-by-step explanation:

[tex]71 \div 219 = 0.32[/tex]

Answer:

A) -18 B) r=10 C) x=-4

Step-by-step explanation:

A) 1d + 12 = 14-20

Step 1: Simplify both sides of the equation.

1d+12=14−20

d+12=14+−20

d+12=(14+−20)(Combine Like Terms)

d+12=−6

d+12=−6

Step 2: Subtract 12 from both sides.

d+12−12=−6−12

d=−18

Answer:

d=−18

B) 4(20+5) = 10r

Step 1: Simplify both sides of the equation.

100=10r

Step 2: Flip the equation.

10r=100

Step 3: Divide both sides by 10.      

r=10

C) -2(5 + x) - 1 = 3(x + 3)

Step 1: Simplify both sides of the equation.

−2(5+x)−1=3(x+3)

(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)

−10+−2x+−1=3x+9

(−2x)+(−10+−1)=3x+9(Combine Like Terms)

−2x+−11=3x+9

−2x−11=3x+9

Step 2: Subtract 3x from both sides.

−2x−11−3x=3x+9−3x

−5x−11=9

Step 3: Add 11 to both sides.

−5x−11+11=9+11

−5x=20

Step 4: Divide both sides by -5.

x=−4

Answer:

x = -2 y = -4

x = -1 y = -1

x = 0 y = 2

x = 1 y = 5

Answer: 2203.96

Step-by-step explanation:

Answer:

I would say either A or C

Step-by-step explanation:

Answer:

8 < x <22

Step-by-step explanation:

In this question we know the two sides of the triangle to be 7 and 15, let's all the other side x

One one side of the inequality we have:

7+15>x

22 > x

On the other side we have

7 + x > 15

X > 15-7

X>8

When we rearrange these inequalities above we have

8<X<22

We saw from the calculations that 8 is less than X and X is less than 22.

Answer:

The answer is: the domain of the function that show the population-growing per day is

\mleft{

[tex]x \geqslant 0[/tex]

\mright}

Because the domain is the time, in this cases the days.

Answer:

132.

Step-by-step explanation:

If 12% are sold then 100-12 = 88% are unsold.

12% = 18 oranges

1%   =  18/12 = 1.5 oranges,

88% = 1.5 * 88 = 132.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

x + 25 + 80 = 180

x + 105 = 180

x = 75

x + y = 180

75 + y = 180

y = 105

Answer:

volume of cylinder

= πr²h

= π×3²×5

= π×9×5

=45π

= 141.37 cubic feet

the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others

meaning the measure the perimeter is = 6 times the radius

and the radius = 8cm

so perimeter = 6× 8 cm

perimeter = 48cm

since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as

r square root of 3 divided by 2

r = radius = 8 cm

by apply the formula

8square root 3 divided by 2

so the area will be

since the perimeter is 48cm

and the apothem is 8 square root of 3 divided 2

so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .

hope that helps.

Answer:

15

Step-by-step explanation:

Assuming x is the length DB

Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values

[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8 DB = 120 ( divide both sides by 8 )

DB = 15

That is x = DB = 15

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Supplementary Angles add up to 180.

Angle C and Angle D add up to 180.

[tex]128 + 2x = 180[/tex]

[tex]2x = 52[/tex]

[tex]x = 26[/tex]

very much secsc

Step-by-step explanation:

yes i love the secc

Answer:

x = -1

y = 2

Step-by-step explanation:

x + y = 1

y = -x + 1

y = -x + 1  (Multiply this by -1)

y = 3x +5

-y = x - 1

y = 3x +5

0 = 4x + 4

4x = -4

x = -1

x + y = 1

-1 + y = 1

y = 2

Answer:  1. Mary Ann has saved $2 more than Carlos

Step-by-step explanation:

He has $26 after 3 hours

she has...

y=6(3)+10

y=18+10

y=28

so

28-26=2

Answer:

12 days

Step-by-step explanation:

420/35 to find amount of days to finish book

420/35 = 12

Answer:

Sally is 23 years old.

Step-by-step explanation:

John's age is completely unknown, so it is known as x

Meanwhile, Sally's age can be represented as 3x+2

The sum of both ages is 30.

So, x+3x+2=30

Combine like terms.

4x+2=30

Subtract 2 from both sides.

4x=28

Divide both sides by 4.

x=7

John is 7 years old.

Sally's age: 3(7)+2=23

Sally is 23 years old.

Answer:

17 + m ≤ 65

Step-by-step explanation:

Maximum distance = 65 miles

Number of miles already ridden = 17

Expression to represent how many more miles, 'm' she can ride ;

Number of miles already ridden + m ≤ maximum distance

17 + m ≤ 65

m ≤ 65 - 17

m ≤ 48

The amount of additional miles Lyla can ride is at most 48 miles

Answer:

9

Step-by-step explanation:

3/8=x/24 (cross multiplication)

3*24=8x (we don't need to multiply 3 with 24 bc we will divide both sides by 8 so it will be easier to find the final value)

x=9

Answer:

x = 9

Step-by-step explanation:

8: 24

Multiply 3

8 x 3 = 24

3 : x

Multiply 3

3 x 3 = 9

x = 9

Answer:

Double Bar Graph

Step-by-step explanation:

A double bar graph would be suitable to show the performance of test 1 and 2 in all 6 subjects

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ÷ (-0.125)

(-70/100 + 15/100) ÷ (-0.125)

-55/100/-0.125

-.55/-0.125

4.4

Answer:

A  a.  25 minutes

Step-by-step explanation:

Let x = time in minutes.

Aquarium I contains y water at time x.

y = 4.6 + 1.2x

Aquarium II contains y water at time x,

y = 54.6 - 0.8x

We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.

4.6 + 1.2x = 54.6 - 0.8x

Subtract 4.6 from both sides.

Add 0.8x to both sides.

2x = 50

Divide both sides by 2.

x = 25

Answer:

1824 in2

Step-by-step explanation:

sqaure = 48 x 32 = 1536 in2

Triangle = (12 x 48) / 2 = 288 in2

total area = 1536 + 288 = 1824 in2

Answer:

2 hours 48 minutes

Step-by-step explanation:

Debra=1 plowing job / 7 hours

Debra+Alexandra=1 plowing job / 2 hours

1/2-1/7

=7/14-2/14

=5/14

=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

14/5 hour=2 hours 48 minutes (hope hits helps)

Alexandria to finish the same job alone in, 2 hours 48 minutes

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Debra and Alexandria can finish a plowing job in two hours if they work together.

And, Debra can do the job in 7 hours by herself.

Hence, We get;

For Debra = 1 plowing job / 7 hours

Debra + Alexandra = 1 plowing job / 2 hours

Hence, Time to take Alexandria to finish the same job alone is,

= 1/2 - 1/7

= 7/14 - 2/14

= 5/14

= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

= 2 hours 48 minutes

Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ3

Answer:

b option

x<-4 is the correct answer

Answer:

B) 1/4^ 7.

Step-by-step explanation:

You should know this.... basic math