Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?

a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.

b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.

c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.

d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.

Step-by-step explanation:

here's the answer to your question

Answer:

z^ 1/3

Step-by-step explanation:

sqrt( z / z^ 1/3)

We know a^b / a^c  =a^( b-c)

sqrt ( z^(1-1/3))

sqrt( z^ 2/3)

Rewriting sqrt as ^ 1/2

z^ (2/3) ^ 1/2

We know a^b^c = a^(b*c)

z^(2/3 * 1/2)

z^1/3

Answer:

The length of [tex]b[/tex] is approximately 11.7.

Step-by-step explanation:

The sum of internal angles in triangles equals 180°, as we know the measures of angles B and C, we determine the measure of angle A by algebraic means:

[tex]A = 180^{\circ}-B-C[/tex] (1)

([tex]B = 22^{\circ}[/tex], [tex]C = 52^{\circ}[/tex])

[tex]A = 180^{\circ}-22^{\circ}-52^{\circ}[/tex]

[tex]A = 106^{\circ}[/tex]

The length of [tex]b[/tex] is found by the Law of Sine:

[tex]\frac{b}{\sin B} = \frac{a}{\sin A}[/tex]

[tex]b = a\cdot \left(\frac{\sin B}{\sin A} \right)[/tex]

([tex]a = 30[/tex], [tex]A = 106^{\circ}[/tex], [tex]B = 22^{\circ}[/tex])

[tex]b = 30\cdot \left(\frac{\sin 22^{\circ}}{\sin 106^{\circ}} \right)[/tex]

[tex]b \approx 11.7[/tex]

The length of [tex]b[/tex] is approximately 11.7.

[tex]\huge\underline\gray{✏ANSWER}[/tex]

[tex] \frac{6}{7} [/tex]

I hope it helps!

#BrainliestBunch

Step-by-step explanation:

x+3=2x-1

x-2x=-1-3

-x=-4

x=4

La pregunta está incompleta ya que no se da el costo de la colocación de baldosas por m².

Suponga que el costo de los mosaicos por m² = c

Respuesta:

39.06c

Explicación paso a paso:

El costo del embaldosado será:

El costo por m² * área total a embaldosar

Dado que :

La dimensión de la habitación a embaldosar es:

Longitud = 9,30 metros

Ancho = 4.20 metros

El área total de la habitación a embaldosar es = Largo * ancho

Área total de la habitación a embaldosar = 9,30 m * 4,20 m

Superficie total de la habitación a embaldosar = 39,06 m²

Si el costo del mosaico por m² = c

El costo de embaldosar la habitación será:

39,06 * c = 39,06c

Answer: Rs 275.40

Step-by-step explanation:

Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:

First, well calculate the interest. This will be:

= PRT/100

= (25000 × 12 × 1.5 / 100)

= 4500

Total amount to be paid back will be:

= Rs 25000 + Rs 4500

= Rs 29500

Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:

A = P(1 + r)^t

where,

A = Final Amount

P= Principal = 25000

r= Rate of interest =

t= Time = 3 cycles

Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles

The rate will be = 12%/2 = 6% yearly.

We'll then slot the values into the question and this will be:

A = P(1 + r)^t

A = 25000(1 + 0.06)³

A = 25000(1.06)³

A = 25000 × 1.191016

A = 29775.4

Therefore, Bishwant is expected to pay Rs 29775.4

Then the profit that Sunayana is expected to make will be:

= Rs 29775.4 - Rs 29500

= Rs 275.40

It is 6x -23y. You cannot factor using GCF any further.

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

  = (28+26+30)/2

  = 42 centimeters

Now, to find the area, we can use Heron's formula:

A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

     [tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]

     [tex]\sqrt{42(14)(16)(12)}[/tex]

     [tex]\sqrt{112896}[/tex]

     336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

Answer:

SU

Step-by-step explanation:

The hypotenuse is opposite the right angle

The hypotenuse is US  or SU

We have to pick,

The segment which is hypotenuse,

Hypotenuse will be the opposite segment of the right angle.

Now it will be,

→ SU (or) US

Hence, SU is the hypotenuse.

Answer:

Step-by-step explanation:

Used property of exponents

Now we have to find,

The answer to this problem.

Then use the property of exponents,

→ [tex] \sf a^cb^c = (ab)^c[/tex]

Let's find the solution,

→ 9b²c²

→ 3²b²c²

→ (3bc)²

Hence, (3bc)² is the answer.

Answer:

(-2,3)

Step-by-step explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)

Answer:

2/5 is the answer man ooooo

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

So when you have a negative exponent, it means reciprocal.

[tex]5^{-2}[/tex] will now be [tex]\frac{1}{5^2}[/tex]

Now find the squared 5. 5 * 5 is 25.

So, your answer is 1/25

Hope this helps !!

-Ketifa

Answer:

? = 16

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp side / adj

tan ? = 13 / 46

Taking the inverse tan of each side

tan ^ -1 ( tan ? ) = tan ^-1 ( 13/46)

? = 15.78075

To the nearest degree

? = 16

Given:

The inequality is:

[tex]x>111[/tex]

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

[tex]x>111[/tex]

It means all the real numbers greater than 111 are the solutions to the given inequality.

[tex]97<111[/tex], so 97 is not a solution.

[tex]101<111[/tex], so 101 is not a solution.

[tex]119>111[/tex], so 119 is a solution.

Therefore, the correct option is C.

Given:

The inequality is:

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

It means all the real numbers greater than 111 are the solutions to the given inequality.

, so 97 is not a solution.

, so 101 is not a solution.

, so 119 is a solution.

Therefore, the correct option is C.

Answer:

64

Step-by-step explanation:

This is actually really easy you just have to subtract 36 from 100

Hope this helps also please mark brainliest

Answer:

bro i think its 0.75 . -2.25

Step-by-step explanation:

Answer:

Fourth option

Step-by-step explanation:

If you dont have a graphing calculator, we can solve this system using elimination. If we subtract the two linesr functions, we get

[tex](3x - 8y = 29) - (3x + y = - 2) = - 9y = 31[/tex]

So our new equation is

[tex] - 9y = 31[/tex]

[tex]y = - \frac{31}{9} [/tex]

Now since we know what y is, we plug this in back into the equation and solve for x.

[tex]3x - 8( \frac{ - 31}{9} ) = 29[/tex]

[tex]3x + \frac{248}{9} = 29[/tex]

[tex]3x = \frac{13}{9} [/tex]

[tex]x = \frac{13}{27} [/tex]

The answer choice that resembles this mostly is the fourth option.

Answer:

the right side of the image is truncated,

but "A" seems to be the answer....

take (2,3) and (3,4)

#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1

#2 ) y = 1x + b

#3 plug in (2,3) ... 3 = 1(2) + b ... B=1

#4 Y= 1 x + 1

Step-by-step explanation:

Answer:

a) In a coordinate plane, the horizontal axis is the x-axis, and the vertical axis is the y-axis.

So, a point (x, y) is at:

A horizontal distance of x units from the origin.

A vertical distance of y units from the origin.

So the point (3, -7) is at:

3 units at the right from the origin

7 units downwards (because is a -7) from the origin.

The graph of the point can be seen below:

Now we want to find a reflection across the x-axis.

b) For a general point (x, y), a reflection across the x-axis gives:

(x, -y)

So, if our point P is:

P (5, 1)

The reflection across the x-axis just changes the sign of the y-value, which gives:

(5, -1)

Then the correct option is point C:

(5, -1)

Answer:

its C on exgenity

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

one angle  = 134

Other two angles are the base angles which are  same.

x + x + 134 = 180   {Angle sum property}

2x + 134 = 180

2x = 180 - 134

2x = 46

x = 46/2

x = 23

Other two angles are 23 , 23

Answer:

2

Step-by-step explanation:

Reflection over y axis rule

(x,y) --------> (-x,y)

Rule explained:

Simply change the sign of the x value and keep the y value as it it

Coordinates of A (-4,0)

Apply reflection over y axis rule

(-4,0) -----> (4,0)

Next we want to apply a translation with the rule ( x - 5 , y + 2 )

Explanation of rule:

Simply subtract 5 from the x value and add 2 to the y value

Current coordinates of A (4,0)

Apply translation rule

(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )

The y value of coordinate A would be 2 after all of the transformations

Answer:

HY = 18

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so

HY = 2 YL = 2 × 9 = 18

Answer:

3/8

Step-by-step explanation:

that is the answer

I solved it using a calculator

please give me brainliest

the answer is 3/8 because im right

Answer:

a

Step-by-step explanation:

follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time

Answer:17

Step-by-step explanation:

Answer:

x = 1/5(k-14)

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x+14-14 = k-14

5x = k-14

Divide by 5

5x/5 = 1/5(k-14)

x = 1/5(k-14)

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

[tex]a_n=a_1+d(n-1)[/tex] and we are given enough info to fill in:

[tex]a_n=-35+4(n-1)[/tex] and

[tex]a_n=-35+4n-4[/tex] and

[tex]a_n=-39+4n[/tex] or in linear format:

[tex]a_n=4n-39[/tex] where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

[tex]a_2=4(2)-39[/tex] so

[tex]a_2=8-39[/tex] and

[tex]a_2=-31[/tex]

The third term:

[tex]a_3=4(3)-39[/tex] and

[tex]a_3=12-39[/tex] so

[tex]a_3=-27[/tex] and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

[tex]a_5=4(5)-39[/tex] and

[tex]a_5=20-39[/tex] so

[tex]a_5=-19[/tex]

Answer:

In diffuse reflection, reflected rays move in different directions.

Step-by-step explanation:

Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.

Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.

During diffuse reflection, light is reflected in different directions.

Answer:

In scattering, long wavelengths are scattered the most.

Step-by-step explanation: took the test for Edg 21

Answer:

27

Step-by-step explanation:

First find 2/3 of the original price

48*2/3 =32

Now subtract the coupon

32 -5

27

You will pay 27 dollars before tax

Step-by-step explanation:

vol: 18* 8* 5 cm³

720 cm³

hope this help

Answer:

67 adult  tickets were sold that day

Step-by-step explanation:

x= Number of adults that day, y=Number of children that day

ATQ, x+y=156 and 5.2*x+9*y=1065.8. Solving it, we will get x=89 and y=67