Given: ABCD is a parallelogram.


Prove: ∠A ≅ ∠C and ∠B ≅ ∠D


Parallelogram A B C D is shown.


By the definition of a ▱, AD∥BC and AB∥DC.


Using, AD as a transversal, ∠A and ∠

are same-side interior angles, so they are

. Using side

as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.


Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠

answers: d, supplementary, bc, d

Answer:

Step-by-step explanation:

Area of the door = area of the rectangle + area of the semicircle

                            = 7 × 4                            +  (3.14 × 2²)/2

                            = 28                                + (3.14 × 4)/2

                            = 28                                + 3.14 × 2

                           = 28                                 + 6.28

                           = 34.28

Answer:

21/29

Step-by-step explanation:

Sin = hypotenuse side / opposite side to the angle

then: Sin (C) = 21 / 29

Answer:

r = 17

Step-by-step explanation:

calculate: 2r=35-1

divide both sides: 2r=34

Answer:

-26/3

Step-by-step explanation:

We open the bracket to get 7x +21 ≤ 4x -5

Step-by-step explanation:

The store buys a remote control robot for $60 plus it marks up by 30%.

First, we need to convert 30% to a decimal of 0.30.

Then we multiply 60 by 0.30.

60*0.30=18

We know we have to add the original price of $60 with an $18 markup.

60+18=78

We now get $78 as the selling price.

Answer:

prices of food and games and tickets

Answer:

B. 33cm^2

Step-by-step explanation:

To calculate the area of a figure, you'll need to multiply the base times the height.

So, you calculate the area of the two figures and you add them up.

(4x2) + (5x5) = 33cm^2

Answer:

The answer is B. 33 cm^2

Step-by-step explanation:

Area Formula of Square/Rectangle: Area = Length * Width

Left Box:

Area = Length * Width

Area = 4 cm * 2 cm = 8 cm^2

Right Box:

Area = Length * Width

Area = 5 cm * 5 cm = 25 cm^2

Total Area = 8 cm^2 + 25 cm^2 = 33 cm^2

Answer:

Exact form = 1/49

Step-by-step explanation:

Decimal form = 0.02

Hope this helps! :)

Answer:

[tex]\frac{1}{7}^{2} = \frac{1}{49}[/tex]

Step-by-step explanation:

The power of the 2 means to multiply it two times itself.

Example: 7^2 = 7 * 7 = 49

Apply that to a faction.

[tex]\frac{1}{7}^{2} =\frac{1}{7} *\frac{1}{7} = \frac{1}{49}[/tex]

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Step 1:  Determine the equation

So we know that our equation does not have a y-intercept which means that it doesn't intersect ANYWHERE on the y-axis.  Therefore, this means that our equation will be a straight vertical line that doesn't move side to side and just goes straight up and down.  We also know that our point is (3, 6) which means that our x-value will be 3 and this is where the equation will be located.  

There are several ways to display our answer where x = 3 is the most common way which basically means give me all of the y-values for the same x value of 3.  Another way of saying it is x - 3 = 0 which either way when adding 3 to both sides gives you x = 3 which is what I usually go with.

Answer: [tex]x = 3[/tex]

Answer:

x = 3 or x - 3 = 0

Step-by-step explanation:

Given

Solving

Answer:

3/8 of the area is shaded

Step-by-step explanation:

this can be determined by deviding the total shape into parts and determining those parts

so we see the top right 1/4 of the shape has a square that is shaded, with the triangle only covering 1/2 of this shape becuase the hypotenuse ((diagnal edge of a right triangle)) devides the square in half

beings that 1/2 of the 1/4 square is shaded, we know that in reation to the whole shape that the small shaded area is equal to 1/8 ((1/2 ÷ 1/4 = 1/8))

same can be said for the bottum shape, with the bottum half of the whole shape half covered we can determine its total shaded area in relation to the shape ((1/2 ÷ 1/2 = 1/4))

the left top shape is completely unshaded so we wont need to calculate any shadded area into the equation

with the total shape covered by 1/4 + 1/8 we can find the least common denominator between the two fractions to get a simplifide answer for the total shaded area

1/4 = 2/8
2/8 + 1/8 = 3/8

this leaves 5/8 of the shape unshaded

3/8 fraction of the square is to be shaded.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In the top right 1/4 of the shape has a square that is shaded, with the triangle only covering 1/2 of this shape because the hypotenuse divides the square in half.

1/2 of the 1/4 square is shaded, we know that in relation to the whole shape that the small shaded area is equal to 1/8.

same can be said for the bottom shape, with the bottom half of the whole shape half covered we can determine its total shaded area in relation to the shape.

1/4 = 2/8

2/8 + 1/8 = 3/8

Hence, 3/8 fraction of the square is to be shaded.

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Answer:

The answer is 47796816366096114154433241462805777065938231744772710

Step-by-step explanation:

hope this helps you

Answer:

See below ~

Step-by-step explanation:

We need to prove they are equal.

Equate the values to each other.

Now input the x-value in the 1st equation.

Now input the same in the 2nd equation.

Since the same x-value, on inputting in both equations, give the same y-value, it is proved they touch each other.

Point of Contact

Answer:

1/125

Step-by-step explanation:

He buys 4 tickets out of 500:

4/500 = 2/250 = 1/125

Answer:

Sorry I can't answer this.

But you may use the protacter to find the angle

? = 73°

There are 7 sides in this polygon

Calculate total interior angles using (n-2) * 180    

                                                                  ["n" denotes number of sides]

The missing angle inside the polygon:

900° - 130° -119° -130° -154° -130° -130°

900° - 793°

107°

A straight line has total 180°

? + 107° = 180°

? = 180° - 107°

? = 73°

The value a = -1 < 0 represents the translation -1 units to the left and

b = 9 > 0 represents the translation 9 units up is correct.

The rule of transformation is defined as,

( x , y ) → ( x + a , y + b ) (equation - 1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units right and if a<0, then the graph shifts a units left.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Based on the given conditions, formulate,

(x, y) → (x-1, y+9) (equation - 2)

From (1) and (2) equations,

We get,

a = -1 , b = 9

The value a = -1 < 0 represents the translation -1 units to the left and

b = 9 > 0 represents the translation 9 units up.

Therefore,

Description of the rule is,

The value a = -1 < 0 represents the translation -1 units to the left and

b = 9 > 0 represents the translation 9 units up is correct.

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Answer:

X = 42

Step-by-step explanation:

What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.

42 / 7 = 6

DING DING DING Correct !

Answer:

X = 42

Step-by-step explanation:

Think of this problem as a division problem.

? ÷ 7 = 6

So solve this multiply 7 by 6.

This would leave you with 42.

Therefore 42/7 = 6

Easy Peasy :) Hope this helped! <3

Answer:

226.19

Step-by-step explanation:

A= 2πrh+ 2πr2= 2·π·4·5+2·π·42≈226.19467

or

S = (2 * pi * r^2) + (2 * pi * r * h)

S = (2 * pi * 4^2) + (2 * pi * 4 * 5)

S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.

Answer:

251.333 (Repeating)

Step-by-step explanation:

First, you need to find the area of the circle at the top, which is [tex]\pi r^{2}[/tex]

Next, you multiply it by the height. (I did also use actual pi)

This is if it's total area, not lateral.

Answer:

The answer should be A.

Step-by-step explanation:

Well, to determine how two triangles are similar you first look at the image of what they give you.

As you can see the images shows only degree angles.

Looking at your option to see degree angles.

In some options, there is a side length of a triangle, but we aren't given a side length on both triangles so that answer does that apply.

Our last option is between A and D.

D is false as we determine the triangles are similar to each other.

RCW and VCB are vertically opposite meaning their 25° are the same to each other.

We know that every triangle adds up to 180.

Answer:

$1.15

Step-by-step explanation:

6 pairs of socks cost $6.90.

so every sock is at least one dollar. one dollar per sock, then you take the .90 and divided between the 6 socks and you get 15, so one dollar and 15 cents per sock.

Hope this helps, have a nice day!

Step-by-step explanation:

If we convert

[tex]r = - 10 \cos(x) [/tex]

to a Cartesian equation,

[tex] {r}^{2} = - 10 r \: \cos(x) [/tex]

[tex] {x}^{2} + {y}^{2} = - 10x[/tex]

[tex] {x}^{2} + 10x + {y}^{2} = 0[/tex]

[tex] {x}^{2} + 10x + 25 + {y}^{2} = 25[/tex]

[tex](x + 5) {}^{2} + {y}^{2} = 25[/tex]

So we have a circle with center (-5,0), with a diameter of 10.

Answer:

3

340?Step-by-step explanation:

BTW CHECK MY QUESTIONS PLS ULL LIKE IT

sum of three number= 98

the second number.

Let the three numbers be x, y and z

Sum of the numbers is 98.

x + y + z = 98………………(i)

The ratio of the first to the second is 2/3.

x/y = 2/3

x= 2/3 × y

x= 2y/3

The ratio of the second to the third is 5/8.

y/z= 5/8

z/y= 8/5

z= 8/5 × y

z= 8y/5

Put the value of x = 2y/3 and z = 8y/5 in (i).

2y/3 + y + 8y/5= 98

49y/15= 98

49y= 98 × 15

49y= 1470

y= 1470/49

y= 30

Therefore, the second number is 30.

answer= option c.

Answer:

C. 15800 to spare

Step-by-step explanation:

All you have to do is add up the total money he has to spend  money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)

He should make a loan from the investors about 4.6%..

To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.

Total quantum plutocrat Korey have

= Saving plutocrat heritage plutocrat

= $,500$,000

= $,500

Total quantum of charges

= Store Fixtures amount + Computer and Cash Register amount + Inventory  amount +Rent amount + Insurance amount

=  $2700 + $1200 + $17400 +$10800 + $3000

= $35100

So, Fund taken through loans and investor

= Total quantum of charges -Total quantum plutocrat Korey have

= $ 35100-$ 33500

= $ 1600

and, the percentage is

= 1600 x 100 / 35100

= 4.6%

He should make a loan from the investors about 4.6%.

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Answer:

$150.00

Step-by-step explanation:

original price = sale price/1-discount

OP=45/1-0.7

OP=45/0.3

OP=150

Answer:

15%

Step-by-step explanation:

number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%

Considering a sinusoidal equation, and the concept of amplitude, if it found that the equation's amplitude is of 3 hours.

It is given by half the difference between the greatest and the smallest value.

In this problem:

0.5 x (15 - 9) = 3.

Hence, the equation's amplitude is of 3 hours.

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Answer:

2411.52

Step-by-step explanation:

D = r x 2

R = d/2

16/2 = 8

A = πr^[tex]\pixr^{2}[/tex]

A = 3.14 x 8x8

A = 3.14 x 64

A = 200.96

V = A x H

V = 200.96 x 12

V = 2411.52

Answer:

30

Step-by-step explanation:

the beginning of the box is the first quartile the middle is the median the end it the third quartile

Answer:

12/38

Step-by-step explanation:

Answer:

12/38

Step-by-step explanation: