In the given figure, ABCD is a rectangle. Its diagonals meet at O. If OC = 3x – 4, OB = x + 4, then find OB, OC, OA, AC, BD and OD​

Answer:

1 4 3 4 4 = ilyvm

1 4 3 3 = ilyt

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, I will compute twice the sum so I need to compute,

[tex]\begin{aligned}1&+2&+...+&(n-1)&+n\\\\n&+(n-1)&+...+&2&+1\\\\-&-----&---&---&---\\\\(n+1)&+(n+1)&+...+&(n+1)&+(n+1)\end{aligned}[/tex]

1+n = n+1

2 + n-1=n+1

...

n-1+2=n+1

n+1=n+1

So, this is n times n+1 so it is n*(n+1)

[tex]2(1+2+3...+n)=n(n+1)\\\\1+2+3...+n=\dfrac{n(n+1)}{2}[/tex]

Answer:

4 gallons of gasoline the car has left after it has traveled 330 miles.

Step-by-step explanation:

We are given with the following data of Distance Traveled and Gas Left in Tank below;

   Distance Traveled (in miles)       Amount of Gas Left in Tank (in gallons)

                 0                                                            15

                90                                                           12

               180                                                            9

               270                                                           6

               330                                                           ?

As we can see from the table that for every 90 miles of distance traveled, there has been a reduction of 3 gallons of gas which is left in the tank, i.e;

From 90 to 180 - Gas reduced from 12 to 9

This means that in 1 gallon of gas, the distance traveled is =  [tex]\frac{90}{3}[/tex] = 30 miles

So, from distance 270 to 300, the amount of Gas Left in Tank = 6 - 1 = 5 gallons

From distance 300 to 330 miles, the amount of Gas Left in Tank = 5 - 1 = 4 gallons

Hence, 4 gallons of gasoline is left after the car has traveled 330 miles.

Answer:

3

Step-by-step explanation:

[tex]2x^{2} = 18\\ => x^{2} = \frac{18}{2} =9\\ => x = \sqrt{9} = 3[/tex]

Hope u'll like it.....

Step-by-step explanation:

2x²=18

x²=18/2

x²=9

squaring both sides

and we get

x=3

Answer:

Both climbers rested on the wall at a constant height for 2 minutes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]0[/tex]

Step-by-step explanation:

[tex] \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0[/tex]

Answer:

  The conjecture cannot work for any negative numbers, It works for x > 1.3.

Step-by-step explanation:

An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."

It only takes a counterexample to show the conjecture is incorrect.

  x^5 -2 ?? x

  (-2)^5 -2 ?? (-2)

  -32 -2 ?? -2

  -34 < -2 . . . . . . not greater than

Answer:

s^-13

Step-by-step explanation:

you subtract when it is division

s^-10 / s^3

-10 - 3 = -13

s^-13

Answer:

s^0.03333333333

Step-by-step explanation:

s^1/10 divided by s^3

Answer:

About $0.2708 per unit ' each can '.

Answer:

$.27

Step-by-step explanation:

$3.25 / 12 = 27

Answer:

21). WX = 10

22). VW = 22

23). WY = 20

24). VX = 32

25). WZ = 30

26). VY = 42

Step-by-step explanation:

In the figure attached,

V, W, X, Y and Z are collinear.

VZ = 52, XZ = 20 and WX = XY = YZ

21). Since XZ = 20

     XY + YZ = 20

     WX + WX = 20 [Since, XY = WX = YZ]

     2(WX) = 20

     WX = 10

22). VZ = VW + WX + XY + YZ = 52

     VW + 3(YZ) = 52 [Since, WX = XY = YZ]

     VW + [tex]3(\frac{XZ}{2})[/tex] = 52

     VW + [tex]\frac{3}{2}\times 20[/tex] = 52

     VW = 52 - 30 = 22

23). WY = WX + XY

             = 2(WX)

             = 20

24). VX = VW + WX

             = 22 + 10

             = 32

25). WZ = 3(WX)

             = 30

26). VY = VZ - YZ

            = 52 - 10

            = 42  

Answer:

what is your fav movie or show on netfix

Step-by-step explanation:

Answer:

[tex] \boxed{\sf Time \ taken \ (t) = 100 \ s} [/tex]

Given:

Distance (d) = 48 km = 4800 m/s

Speed (s) = 48 m/s

To Find:

Time taken (t)

Step-by-step explanation:

Formula:

[tex]\boxed{ \bold{ Speed \ (s) = \frac{Distance \ (d)}{Time \ (t)}}}[/tex]

Substituting value of s & d in the equation:

[tex] \sf \implies 48 = \frac{4800}{t} \\ \\ \sf \implies t = \frac{4800}{48} \\ \\ \sf \implies t = 100 \: s[/tex]

[tex] \therefore[/tex]

Time taken (t) = 100 s

Answer:(9+4i) + (-1-7i), or B on edgunity

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer:

18.84 cm

Step-by-step explanation:

P = 2 × pi × r

= 2 × 3.14 × 3cm

= 6cm × 3.14

= 18.84 cm

Answer:

9/2 π

Step-by-step explanation:

[tex]Perimeter = \frac{\pi r^2}{2} \\r = 3\:cm\\\\P = \frac{\pi \times 3^2}{2}\\ \\P = \frac{\pi \times 9}{2}\\ \\P = \frac{9 \pi}{2} \\\\P = \frac{9}{2} \pi[/tex]

Answer:

x = 4/3

Step-by-step explanation:

Answer:

3 times 2 which is 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. 4/7 + 3/8 = 32/56 + 21/56 = 53/56

b. 2/5 + 5/8 = 16/40 + 25/40 = 41/40 = 1  1/40

c.  3/8 + 2/10 = 15/40 + 8/40 = 23/40

d. 4/5 + 2/6 = 24/30 + 10/30 = 34/30 = 1 4/30 = 1 2/15

e. 5/6 + 2/9 = 15/18 + 4/18 = 19/18= 1 1/18

f. 2/15 + 5/12 = 8/60 + 25/60 = 33/60 = 11/20

Answer:

-3x-5

Step-by-step explanation:

-3x-6+(-1)

-3x-6-1

-3x-5

Answer:

r = 2a + k

Step-by-step explanation:

Hope this helps :D

Answer:

36 × (how many games he buys) = (the price)

Step-by-step explanation:

36 dollars multiplied by the number of games he buys will equal the price.

Example:

Let's say he bought 3 games.

36 × 3 = 108

So, in this case, he bought three games using $108 .

Answer:

Graph D.

Step-by-step explanation:

Hey there!

A coefficient is the number being multiplied by the variable,

Example: 5x - 5 is a coefficient

Graph d has a negative slope meaning the slope would be,

-1, -2, -3, -4, -5, ect.

So graph D is correct.

Hope this helps :)

Answer:

[tex]f^{-1}(x)=\frac{3x}{2} +6[/tex]

Step-by-step explanation:

hope this helps

Answer:

1a. A

1b. C

2 and 3 you have to draw

4a. 90 degree angle

4b. 180 degree angle

5a. 112 degrees

5b. 145 degrees

Step-by-step explanation:

for 5 you just subtract the given values from 360

Answer:

1a) A

(both B and C intersect at A)

1b) not sure

2a) draw 270 degree angle

360/4 = 90

90+90+90 = 270 = 3/4

2b) draw an angle less than 90 degree to get an acute angle

3a) first draw a 90 degree angle then divide the angle into two half and you ll get an angle of 45 degrees

90/2 = 45

but since you re not allowed to use compass or protactor so you might not get exact 45 but near to it

3b) draw a 90 degree angle facing downward and thats 270 degree

hope you get what im trying to say if not you can ask me again

4a) acute angle (90 degree)

4b) reflex angle (180 degree)

5a) 112 degree

118 + 130 + x = 360

248 + x  = 360

x  = 360 - 248

x  = 112

5b) 145 degree

360 - 215 = 145

im posting the solutions and the answers of your previous questions here

6a) a = 60 degree

6b) b = 27 degree

because sum of interior angles of a triangle is 180

7a) b = 60 degree and a = 30 degree

7b) x = 36 degree and x = 36 degree

isosceles triangle has 2 same angles and 1 different

x + x + 108 = 180

2x + 108 = 180

2x = 180 - 108

2x = 72

x = 72/2

x = 36

8a) x = 95 degree

8b) a = 100 degree

9) steps;

draw a line segment QR

draw 120 degree angle at point Q

now open the compass of 2cm (or of your own choice) and draw a small arc from point Q such that it intersects line PQ and QR and name that point between QR as O

now from point O, open your compass of same measurement and draw an arc that cuts the previous arc

now draw a line from point Q to join the new formed arc

now using a protactor measure both the newly formed angles

Step-by-step explanation:

Answer:

70 pints per day

Step-by-step explanation:

1 cubic meter is 2113.38 pints

on average, there is 30 days in a month

2113.38 divided by 30 is 70.44600

70.44600 is about 70

Answer:

91590

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

the reason it is 21 is because u have 20 then u add 1 so it is 21 20+1=21

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

John already has 20 apples. If John gets 1 more apple, he would have 21 apples in total.

The word gets means addition. 20 plus 1 equals 21.

John has 21 apples after he gets another apple.

Ok technically I would have 0 apples since I didn't receive any only John did.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

West

10 cm

The first one

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

[tex]x \leq -21[/tex]

Step-by-step explanation:

Given

Represent the number with x

So:

[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]

Required

Determine the solution set

[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]

Open Both Brackets

[tex]5 * x + 5 * 27 \geq 6 *x + 6 * 26[/tex]

[tex]5x + 135 \geq 6x + 156[/tex]

Collect Like Terms

[tex]5x - 6x \geq 156-135[/tex]

[tex]- x \geq 21[/tex]

Multiply both sides by -1

[tex]x \leq -21[/tex]

Hence, the solution set is [tex]x \leq -21[/tex]

Answer:

[tex]x\leq -21[/tex]

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{Point \ C}}[/tex]

Step-by-step explanation:

Point C is located 5 units from points M.

Point C : (-1, 6)

Point M : (-6, 6)

Distance between two points:

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

[tex]d=\sqrt{(-6-(-1))^2 +(6-6)^2 }[/tex]

[tex]d=\sqrt{(-5)^2 +(0)^2 }[/tex]

[tex]d = \sqrt{25} =5[/tex]

The distance between Point C and point M is 5 units.

Answer:point B

Step-by-step explanation:

Answer: 1/8 of 48 is 6.

Step-by-step explanation: working this on a calculator helps as well! I hope that makes everything make sense

Answer:

6

Step-by-step explanation:

of means multiplication