In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is:​

In The Given Figure, ABCD Is A Rectangle In Which APB = 100. The Value Of X Is:

Answers

Answer 1

Answer:

Given that angle APB = 100°

Angle CPB = 180°- 100°. (Angle APB and CPB form a linear pair)

We know all triangles formed here are isosceles

Therefore,

We can take angle PBC= angle PCB = x

Now,

Angle CPB+ x + x = 180°. ( Triangle sum property)

100° + 2x = 180°

2x = 180°- 100°

2x= 80°

x= 80°/2

x= 40°

Hope you found this helpful. Please mark this as the brainliest answer if you do.


Related Questions

A salesperson will earn a commission equal to 1/32 of the total sales. what is the commissions earned on the sales totaling 24000 ​

Answers

Answer:

Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.

the total sales") means to multiply.

So we can write an equation as:

c

=

r

s

Where:

c is the commission earned, what we are solving for in this problem.

r  is the commission rate -  1/

32  in this problem

s  is the total sales - $24,000 in this problem.

Substituting and calculating  c  gives:

c

=1/32 x $24,000

c=$24,000/

32

c

=

$

750

Find the circumference in terms of pic if the diameter is 2.5

Answers

Answer

[tex]C=2.5\pi[/tex]

Step-by-step explanation:

Radius is always half of the diameter so, [tex]\frac{2.5}{2} \\[/tex] is equal to [tex]1.25[/tex].

The Formula for Circumference is [tex]C=2\pi r[/tex]

Since we found out the radius, we need to basically substitute (or insert) it into the radius spot so the next step will be: [tex]C=2\pi (1.25)[/tex]

Then we multiply (2)(1.25) to get an answer of 2.5 (which we already know)

So our answer is going to be [tex]C=2.5\pi[/tex]

Hope this helped and answers your question! Have a great rest of your day/night!

Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?

Answers

Answer:

$794.10

Step-by-step explanation:

Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?

The total amount Marcus paid is calculated as

A = $143.95 × p + $74.35

Where p = Number of pairs of rae Jordans delivered = 5

Hence,

A = $143.95 × 5 + $74.35

A = $719.75 + $74.35

A = $794.10

Therefore, the total amount Marcus paid is $794.10

Figure 11: Find the area of this composite shape.
Find the area of this composite shape.
4 cm
8 כש
4 cm
12 cm

Answers

I did this before lemme go figure this out

The area of the composite figure is C = 80 cm²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the composite figure be C

Now , C = area of rectangle - area of square

Let the area of the rectangle be A

Now , the length of the rectangle be L = 12 cm

Let the width of the rectangle be W = 8 cm

A = 12 x 8

A = 96 cm²

Area of square = 4 x 4 = 16 cm²

So , C = 96 - 16

C = 80 cm²

Hence , the area of figure is C = 80 cm²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ2

The area of a rectangle 320in^2. The ratio of the length to the width is 5:4. Find the length and the width

Answers

Answer:

30 in length 24inches width

Step-by-step explanation:

Multiply the multiples if 5 and 4 together until you reach 720.

5*4=20

10*8=80

15*12=180

20*16=320

25*20=500

30*24=720

Your length is 30 in and your width is 24in.

please help me!! it's due in 10 mins and I don't understand it!!​

Answers

Answer:

J probably

Step-by-step explanation:

When multiplying the rectangle's sides by 1.5 you get the rectangle F.

When multiplying the sides by 1/4 you get G.

When multiplying by 1.25 you get H.

To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.  

I really neeed help ... please help me

Answers

Answer:

fist one is 36 and the second one is 238

Step-by-step explanation:

to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer

3x^2+9x+27x^3 pls help the ^ means exponent

Answers

Answer:

27x^3+3x^2+9x

Step-by-step explanation:

would it br no solution bc the lines are parallel?

Answers

Answer:

Yes

Step-by-step explanation:

The solution to the system of equations shown with a graph is the point where the two lines intersect. Because the lines are parallel they do not intersect, meaning there is no solution.

A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.

Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.

Answers

4 feet 3.14 your welcome

PSLS S S S S S S S s s s. Ss s s s s

Answers

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

What is -7.654 - 4.76?

Answers

Answer: -12.414

Step-by-step explanation:

-0.1 = -10c who can answer this

Answers

Answer:

c = 0.01 | Hope I helped :')

Steps to answer:

1. Divide both sides by -10.

-0.1/-10=c

2. Simplify  -0.1/-10 to 0.01.

0.01=c

3 Switch sides.

c=0.01

---------------

Checking your answer:

−0.1=−10c

1 Let c=0.01.

−0.1=−10×0.01

2 Simplify  10×0.01  to 0.1.

-0.1=-0.1

Done by NeighborhoodDealer.

Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?

Answers

Answer:

I don't know.

Step-by-step explanation:

Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1

Answers

Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

3/2x3/4= -1/5

uh i need help

Answers

Answer:

I'm not smart but I think there's no solution

If you were to solve this it’s be -1/5

-6(3x + (-4y)) Simplify.

Answers

Answer:

−18x+24y

Step-by-step explanation:

sorry if its wrong


I need help pls pls pls

Answers

Answer: The answer may be 26%

Step-by-step explanation: Have a brilliant day mate- Lily (^_^)

Please help, thank you.

The question is in the picture

Answers

D.kite

youre welcome hihihi

Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?

Answers

Answer:

3mph

Step-by-step explanation:

his speed per hour will be 3 miles per hour

How many buses do you need for 600 people if each bus holds 65 people?

Answers

Answer:

You would need 10 buses

Step-by-step explanation:

To find the amount of buses needed, you just divide the total amount of people, and the capacity of each bus.

600/65

This would get you 9.23076923077, but obviously you can't have .23076923077 of a bus and you can't leave people behind. This means you would have to round the number up to 10

Answer:

10

Step-by-step explanation:

f(x)=6^x for x=2 help please

Answers

9514 1404 393

Answer:

  f(2) = 36

Step-by-step explanation:

Put 2 where x is and do the arithmetic.

  f(2) = 6^2

An exponent of 2 means 6 is a factor two times.

  f(2) = 6×6

  f(2) = 36

Answer:

36

Step-by-step explanation:

To evaluate f(x) = 6^x at x = 2, substitute 2 for x:

f(2) = 6^2 = 36

Q1 - Multiplying one equation
Work these simultaneous equations out
on paper and write down your answers.
p
4p + 2q = 28
13p + 69 = 88
9 =
3s + 4t = 31
S =o
88 + 8t = 72
t =
a =
4a + 3b = 45
16a + 4b = 124
b =
5m + 6n = 61
m =
15m + 4n = 99
n =

Answers

Answer:

p = 4

q = 6

s = 5

t = 4

a = 6

b = 7

m = 5

n = 6

Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?

Answers

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

Answer:

5 5/6 cu in

Step-by-step explanation:

Megan used a 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?

Answers

Answer: 18.72

Step-by-step explanation:

14.40*1.3

Answer: 48$ was the original price of the sweater.

Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4

10 in
5 in
Find the volume of the shape above. Use 3.14 for pi.
Round to the nearest tenth.

Answers

The way to find the volume on a cone is v = pi times r times h/3

So for this question it would look like v = 3.14 * 5 * 10/3

Answer 261.79939

The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.

Based on the graph, the car requires___gallons of fuel to travel 100 miles.

A. 1.0
B. 2.5
C. 4.0
D. 5.5

Answers

1/40 = x/100
100=40x
x=2.5

A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?

Answers

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

12 cm
8 cm
Find the volume of the cylinder

Answers

Answer:

ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .

π x 82 cm2 x 12 cm

Raise 8 cm power of 2

π x 64.0 cm2 x 12 cm

Multiply 64.0 cm2 and 12 cm

π x 768.0 cm3

Combine π and 768.0 cm3

The result can be shown in multiple forms.

Exact Form

Volume = 768.0π cm3

∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3

Decimal Form

Volume = 2411.52 cm3

Step-by-step explanation:

Add f(x) = 4x-5 and g(x) = 2x
(f + g)(x)

Answers

Step-by-step explanation:

f(x) = 4x-5

g(x) = 2x

(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5

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