adjacent sides of a rectangle are congruent true or false?

Answer:

yes

Step-by-step explanation:

the angle that is equal to 57 and angle y are supplementary angles meaning that the two values added together will equal 180. So all you have to do is subtract 57 from 180 to get 123. So y = 123

Answer:

the answer is 4

Step-by-step explanation:

Answer:

h ey ew   h  he    h dhv h   d   h h  h j  hd v   8 9  

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Divide 12 by 6.

Answer:

x = 14

Step-by-step explanation:

The triangles are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values

[tex]\frac{x}{21}[/tex] = [tex]\frac{18}{27}[/tex] ( cross- multiply )

27x = 378 ( divide both sides by 27 )

x = 14

Answer:

A ans. No it is binomial factor because it contain two terms

B and.

[tex]x + 2y - z[/tex]

Answer:

ca = 14

Step-by-step explanation:

Answer:

Exterior angle to be used for parking is 72°

Step-by-step explanation:

I've attached an image of a paralelogram.

Now, we are told that from the outside it looks like a parallelogram with one of the interior angles as 108.

This means that the bigger angle internally would be 108°

Which from the attached image is angle B internally or angle D internally.

So, the interior angle observed will be either at point B or D on the parallelogram.

Now, the sum of angles on a straight line is 180°

Thus,

Internal angle D + External Angle D = 180

Or

Internal angle B + External Angle B = 180

Internal angle is 108°

Thus;

External angle for either B or D = 180 - 108 = 72°

So the exterior angle to be used for parking is 72°

Answer:

x = 3

Step-by-step explanation:

29 - 3x = 5x + 5

You want to have the variable of x on one side of the equation, so add 3x to both sides.

29 = 8x + 5

You want to isolate the variable of x, so subtract 5 from both sides.

24 = 8x

You want the variable x on its own, so divide both sides by 8.

3 = x

Check your answer by plugging x back into the original equation.

29 - 3(3) = 5(3) + 5

Solve.

29 - 9 = 15 + 5

20 = 20

Your answer is correct!

Answer:

143π in³

Step-by-step explanation:

A basketball has the shape of a sphere

Volume of a basketball = 4/3πr³

Diameter = 9.5 in

Radius = diameter/2

= 9.5/2

= 4.75 in

Volume of a basketball = 4/3πr³

= 4/3 * π * 4.75³

= 4/3 * π * 107.17

= (4*π*107.17) / 3

= 428.68π / 3

= 142.89π in³

Approximately

143π in³ to the nearest whole number

Answer:

I think letter D is the closest answer

Answer: 0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

to divide the fraction we will multiply by its reciprocal

-6/1 x -8/3=+16

Answer:

49/50 = 98%

Step-by-step explanation:

Answer:

she's right sorry

Answer:

when you do these types of problems, try to think of how you could find out if they are similar. Try to make the shapes bigger or rotate. ^^

Step-by-step explanation:

i hope this wasn't too much into and i hope this helped <3

edit: the answer is 1 and 2.

the reasoning is when you turn the rectangle and divide each correlating side (7.5 by 5 and 9 by 6) for both sides you get the same number: 1.5

when you get the same number, they are similar ^^

9514 1404 393

Answer:

  rectangles 1 and 2 are similar

Step-by-step explanation:

Polygons are similar when ...

In a rectangle, all angles are 90°, so all angles are congruent.

The question of proportionality can be answered a couple of ways. One is to identify corresponding sides in the different figures, then see if the ratios between figures are the same.

Another way is to identify corresponding sides in the same figure, find their ratios, then see if those match with the ratios in the other figure.

For triangles and parallelograms, it can be useful to use the ratios of the sides in order from shortest to longest.

Here, the ratios are ...

  rectangle 1: 5 : 6

  rectangle 2: 7.5 : 9 = 15 : 18 = 5 : 6 . . . . similar to rectangle 1

  rectangle 3: 12 : 15 = 4 : 5 . . . . not similar to the others

Rectangles 1 and 2 are similar.

_____

Additional comment

Ratios are equivalent if all the numbers involved have the same factor. For rectangle 2, we wanted to reduce the ratio to the lowest integer terms. Here, we recognize that 7.5 can be cleared of a decimal by multiplying by 2, so we did ...

  7.5 : 9 = (2)(7.5) : (2)(9) = 15 : 18

Now, we can see that these numbers have 3 as a common factor, so we can remove that factor.

  (3)(5) : (3)(6) = 5 : 6 . . . . reduced form of the ratio 7.5 : 9.

__

We can also get there by finding the greatest common divisor* of 7.5 and 9. That is 1.5, so we have ...

  7.5 : 9 = (1.5)(5) : (1.5)(6) = 5 : 6

__

* Euclid's algorithm for finding the GCD works with decimals or fractions as well as integers. Basically, you see if the difference is a divisor of the numbers. If it is, that is the GCD. 9 -7.5 = 1.5 is a divisor of both 7.5 and 9, so that is the GCD. (If not; the difference replaces the larger number, and the process repeats.)

Answer:

A) 8.25c + 25s = 206.25

B)This contribution affects the equation because it adds money and a person and because she is adding more than the normal amount that each student pays

Step-by-step explanation:

132/16= 8.25

each student paid $8.25

Answer:

144 cm^2

Step-by-step explanation:

The formula for a triangle is (L x W)/2. We plug this in so our first two sides are 24 and 24 square centimeters. The top side is 10 x 4, or 40 cm. The bottom side is 8 x 4, or 32 cm. The back side is 6 x 4, or 24 cm.

24 + 24 + 40 + 32 + 24 = 144 square cm

Answer:= 144cm²

Step-by-step explanation:  4x8 =32

                                               4x6= 24

                                               4x10= 40

                                                 8x6=48

      add 32+24+40+48 =144cm²

Answer: The answer is 1 =n and my work is in the bottom and hope this help :)

Step-by-step explanation:

5n+7=7(n+l)-2n distributive property

5n+7=7n+7-2n  Combines Like Term

5n+7= 12n  subtract 5n to both side

-5n      -5n

    7 = 7n   divide 7n to both side

     7    7

        1=n

Answer: The tower's shadow is 60 feet long.

Step-by-step explanation:

We can use a ratio to solve this:

24/45 = 32/x

Cross multiply: (Numerator of left side times the denominator of right side, and denominator of the left side by numerator of right side.)

24x = 32(45)

24x = 1440  divide both sides by 24

x = 60

Answer:

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Answer:

Given the function: y=f(x) = 3x+2

when x=-2 at the beginning of the interval [-2, 5],

then;

y = 3x+2 begins at

y= 3(-2)+2 = -6+2= -4.

and

when x=5 at the end of the interval [-2, 5],

y = 3x+2 ends up at

y= 3(5)+2 = 15+2= 17.

So,

y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21

and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7

So, the average rate of change of y with respect to x over the interval

[-2, 5] is given by ;

=

Therefore, the average rate of change y with respect to x over the interval is, 3

Step-by-step explanation:

Answer:7w+10x

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

13-8= 5

5 x 2= 10

:)

Answer:the second one

Step-by-step explanation:

y1= log 3 etc so it the second one

The correct system of equations which can represent the equation are,

⇒ y₁ = log (x + 3) / log 4

⇒ y₂ = log (2 + x) / log 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ log₄ (x + 3) = log₂ (2 + x)

Now, We know that;

The formula is,

logₐᵇ = log b / log a

Hence, By using above rule we get;

The correct system of equations which can represent the equation are,

⇒ log₄ (x + 3) = log (x + 3) / log 4

⇒  log₂ (2 + x) = log (2 + x) / log 2

Thus, The correct system of equations which can represent the equation are,

⇒ y₁ = log (x + 3) / log 4

⇒ y₂ = log (2 + x) / log 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

80,000

Step-by-step explanation:

the 8 in 2,382,476 is in the ten thousands place (it's simple math once you understand it)

370 / 5 = 75

Step-by-step explanation: