Given parallelogram SNOW, diagonals SO and NW intersect at D.
If SD = 9x+5 and OD = 13X - 3, find the length of SO

Answers

Answer 1

Answer:

The length of SO is 46 units

Step-by-step explanation:

In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point

SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

x = 2

→ To find the length of SO substitute the value os x in SD and DO

SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

The length of SO is 46 units


Related Questions


The following exchange rate is given £1 = 1.15 euros. Convert €7 into euros
euros​

Answers

Answer:

7.

Step-by-step explanation:

The number given in the question €7 is already in euros. Therefore, there is no need to convert into euros again, as it's already in euros.  

~

Answer:

2

Step-by-step explanation:

x - 3.5 = -3.1
solve for x.

Answers

Answer:

0.4

Step-by-step explanation:

The numbers -3.5 and -3.1 have a difference in value of 0.4

An easy way to look at this is to remove the decimal points. 35 - 31 is equal to 4, so that would make the difference 0.4.

Because both numbers are negative, the x must be a positive.

Therefor, 0.4 - 3.5 = -3.1

The answer for this problem is 0.4

Please help me out.​

Answers

Answer:

i think its the 3rd one or the second one........

Step-by-step explanation:

if im wrong pllzzzzz dont report me....

ANYONE can help me out pleaseee

The number is scientific notation is written as a decimal. Click on the position of the decimal?


9.04 x 10 ^1


00009040000

Answers

Answer:

.00009494949

Step-by-step explanation:

this may be wrong

Simplify: 2k(14) + 7(2k) - 2

Answers

Answer:

42k-2

step by step equation:

calculator apps

                                                                                     

Is (3, 1) a solution to the equation y = 3x?

Answers

Answer:

no

Step-by-step explanation:

it does not fall on the line

60/ 7.55

(divided)

show work please

Answers

Answer:

I think the answer is 7.9

Step-by-step explanation:

u can change them into a mixed number and divide them

Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.

If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year?

Answers

Answer:

0.25y

Step-by-step explanation:

Which shape has four congruent sides and two sets of parallel sides?

quadrilateral
rectangle
parallelogram
rhombus

Answers

It’s a Parallelogram

Answer:

The other prson is right. Its parallelogram

Step-by-step explanation:

nnjcvhjyhufghughjexcvbh

Answers

Answer:

hold on what I can't see that sorry it's really blur

There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the ratio of the number of pears to the number of apples is 2:5. Find the number of pears in the box.

Answers

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

1) Find Area of this polygon 4 cm I 5cm 1 cm 7 cm and the other one

Answers

For the top problem, you split it to make two rectangles and so you have 4 times 5 =20 plus 1 times 3 so the answer is 23cm squared

I will give you brainlest plzzzz helppp!!!

Answers

Answer:

∠GEF = 25

Step-by-step explanation:

Here, we want to find the value of the marked angle

Please check the attachment for the diagrammatic representation of the triangle

Mathematically, the sum of opposite interior angles equals the exterior angle

We can have this sum as follows;

∠EFG + ∠GEF = ∠FGH

Thus;

2x + 1 + x + 19 = 6x + 2

3x + 20 = 6x + 2

6x-3x = 20-2

3x = 18

x = 18/3

x = 6

Now , substitute x into the ∠GEF

That will be;

6 + 19 = 25

Help I need answers plzplzplz

Answers

A is the answer i think :)

Answer:

(2,0) , (4,-20) and (-1,-1)

Step-by-step explanation:

Write an equation of the line in slope-intercept form.

f(3)=-2, f(0)=1

Answers

Answer:

The equation of the line in slope-intercept form is y = -x + 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept ⇒ value y at x = 0

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)

f(3) = -2 is the point (3, -2)

f(0) = 1 is the point (0, 1)

∴ x1 = 3 and y1 = -2

∴ x2 = 0 and y2 = 1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]

m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the value of y at x = 0

∵ at x = 0, y = 1

b = 1

∴ y = -x + 1

The equation of the line in slope-intercept form is y = -x + 1

Find the value of a3 + 3b2 when a = 2 and b = -2

Answers

Given:

a = 2 and b = -2.

To find:

The value of [tex]a^3+3b^2[/tex].

Solution:

We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.

Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get

[tex](2)^3+3(-2)^2[/tex]

[tex]=8+3(4)[/tex]

[tex]=8+12[/tex]

[tex]=20[/tex]

Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.

On Friday 40% of the customers who bought groceries at a H.E.B. Also bought a bag of ice. There were 160 customers who bought groceries. How many of these 160 customers bought a bag of ice?

Answers

Answer:

The answer is 64 customers

Step-by-step explanation:

We are told that 40% of the customers who bought groceries also bought a bag of ice.

The total customers is 160 customers

Required.

the number of customers that bought a bag of ice?

Step two:

Let us compute what 40% will amount to

40/100*160

=0.4*160

=64

Hence 64 customers bought rice

WHAT IS THE ANSWER BECAUSE I POSTED THIS LAST TIME AND NO-ONE KNEW PLZ

Answers

Answer:

I think Paolo read more

Step-by-step explanation:

Because 35 percent of 40 equals 14, and Kamesh read 12 so Paola has read 2 more books than Kamesh.

Best answer gets brainliest hurry ASAP

Answers

Answer:x=18

Step-by-step explanation:

x=\frac{36}{2}

help with this homework thanks

Answers

Answer:

240

Step-by-step explanation:

3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.

A square has an area of 48 square feet. What is the length of a side of the square, in feet?

Answers

Answer:

12 square feet is your answer.

Step-by-step explanation:

If you find this helpful please mark 5 stars and brainliest!

Answer:

Answer is below. Hope this helped, Have a Wonderful Day!!

Step-by-step explanation:

The sides can be found by taking the square root of the area.

(Area)1/2=s, where s = side.

(48)1/2= 24

So the length of a side is 24 ft.

Mike hiked to a lake in 4.5 hours at an average rate of 2
1
5
miles per hour. Pedro hiked the same distance at a rate of 2
3
5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

It took Pedro
hours to reach the lake.

Answers

Answer:

It took Pedro  3.81 hours to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = [tex]2\frac{1}{5}\ miles/hr[/tex]

Formula for distance can be seen as:

[tex]Distance = Speed\times Time[/tex]

Distance traveled by Mike = [tex]4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles[/tex]

Rate of Pedro while hiking the same distance = [tex]2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr[/tex]

Given that, Pedro also travels the same distance.

And we have to find the Time.

[tex]Time = \dfrac{Distance}{Speed}[/tex]

[tex]Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}[/tex]

It took Pedro  3.81 hours to reach the lake.

Evaluate the expression 2n - 6 if n = 16.

Answers

Answer:

[tex]26[/tex]

Step-by-step explanation:

[tex]2n-6[/tex]

Given that:

[tex]n=16[/tex]

To evaluate the expression, we must simply substitute the given value of [tex]n[/tex], which is [tex]16[/tex], for [tex]n[/tex]:

[tex]2(16)-6[/tex]

Multiply:

[tex]32-6[/tex]

Subtract:

[tex]26[/tex]

-

To check your work, simply set the given expression equal to our solution, [tex]26[/tex]:

[tex]2n-6=26[/tex]

Add [tex]6[/tex] to both sides of the equation:

[tex]2n=32[/tex]

Divide both sides of the equation by the coefficient of [tex]n[/tex], which is [tex]2[/tex]:

[tex]n=16[/tex]

Since it matches the given value of [tex]n[/tex], our solution is correct!

Answer:

26

Step-by-step explanation:

This is the answer because:

1) First, we have to substitue the value that stand for n into the equation:

2(16) - 6

2) Next, we have to follow the order of operations in order to find the answer:

1. 2 x 16 = 32

2. 32 - 6 = 26

Therefore, the answer is 26.

Hope this helps! :D

Plz help and I will give brainliest

Answers

Answer:

6 True False True False

7 41.979

Step-by-step explanation:

6. 24 and 18. 24 is 2*2*2*3 and 18 is 3*3*2

Common is 6.

so a is correct.

B is wrong because they have to be the same

C is correct.

D is wrong because 48 does not go into 18 easily.

12.329+10.45+19.2

41.979

Hope this helps :D

question;
3^n-3^n-1 ÷3^n+1+3^n


plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !

plz fast!!!!!​

Answers

Answer:

okay so I am assuming we are dividing okay so here is how we will do it

here are the top and bottom values written more easily

3^n -3^n-1

3^n+1 +3^n

so first we can cancel out the 3^n values then get left with this

3^n-1

3^n+1

now it depends on the instructions but you can leave it like this or you can subtract their powers to get

3^n-2

Step-by-step explanation:

What is the graph of the function rule y=1/3x−1

Answers

The answer is B
the y-intercept is -1 so it will go through-1 on the y-axis.
the slope is 1/3 so rise or run

Determine whether the given points are on the graph of y=2x+3 .
Select all points that lie on the graph.
(-4,-5)
(-3,-3)
(-1,0)
(-1,-4)

pls hurry I need help I will give brainiest also this question does not require a graph so I didn't send one

Answers

Answer:

(-4,-5) (-3,-3)

Step-by-step explanation:

[tex](-4,-5),(-3,-3)[/tex]

Coordinate GraphA coordinate graph is made up of two number lines that are perpendicular to each other. Axes are the names given to these numerical lines. Ordered pairs indicate positions on a coordinate graph. An ordered pair [tex](x,y)[/tex] is a coordinate graph location.

Given equation is [tex]y=2x+3[/tex]

Put [tex](x,y)=(-4,-5)[/tex]

[tex]-5=2(-4)+3\\-5=-5[/tex]

Put [tex](x,y)=(-3,-3)[/tex]

[tex]-3=2(-3)+3\\-3=-3[/tex]

Put [tex](x,y)=(-1,0)[/tex]

[tex]0=2(-1)+3\\0\neq 1[/tex]

Put [tex](x,y)=(-1,-4)[/tex]

[tex]-4=2(-1)+3\\-4\neq 1[/tex]

So, [tex]\boldsymbol{(-4,-5),(-3,-3)}[/tex] lie on the graph [tex]y=2x+3[/tex]

Find out more information about the graph:

https://brainly.com/question/14375099?referrer=searchResults

can someone solve this plss (limits) on the pic

Answers

Answer: Y = e^2

The steps are shown in the picture!

a $320 dollar suit is marked down by 30%, find the sales price

Answers

Answer:

$224

Step-by-step explanation:

320(0.3) =96

320-96 = 224

Answer:

The answer is $96.

Step-by-step explanation:

Use friendly precnents and do 320/10=32 then you do 20/10 3 times and then you add them together and you get the answer.

Write an expression for the area of this rectangle, multiplying out your answer

Answers

(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

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