how to do this question plz answer me step by step plzz plz​

Step-by-step explanation:

We will use the Thales theorem since ED and CB are parallel and A,D and B are in the same lign wich is the same for C,E and A

since we have two similar sides and one similar angle between them it will be SAS similarity

Answer:

I hope you will get help from these...

1.  √7 × √7  = √[7×7] = √[7²] = 7

2. √18 × √2  = √[18×2] = √36 = √[6²] = 6

3. √45  = √[9×5] = √9 × √5 = √[3²] × √5 = 3√5

4. [tex]\dfrac{\sqrt{50}}{5}=\dfrac{\sqrt{25\cdot2}}{5}=\dfrac{\sqrt{25}\cdot\sqrt2}{5}=\dfrac{5\cdot\sqrt2}{5}=\bold{\sqrt2}[/tex]

5. 2√2 × 4√5  = (2×4) × (√2×√5) = 8×√[2×5] = 8√10

6. √48 - √12  = √[16×3] - √[4×3] = √16×√3 - √4×√3 = 4√3 - 2√3 = 2√3

7. (2 - √3)(1 + √3) = 2×1 + 2×√3 + (-√3)×1 + (-√3)×√3 =

                                     = 2 + 2√3 - √3 - √[3×3] = 2 + √3 - 3 = √3 - 1

Answer:

x < 7

Step-by-step explanation:

-6x > -42

Divide each side by -6, remembering to flip the inequality

-6x/-6 < -42/-6

x < 7

Answer:

[tex]\boxed{x<7}[/tex]

Step-by-step explanation:

[tex]-6x > -42[/tex]

Divide both sides by -6 (flip sign).

[tex]\displaystyle \frac{-6x}{-6} < \frac{-42}{-6}[/tex]

[tex]x<7[/tex]

Answer:

Average rate of change of functions r, q, p, s are 5, 3, -2 and 6 respectively.

Step-by-step explanation:

The formula for average rate of change of f(x) over [a,b] is

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

The given function is

[tex]r(x)=x^2+2x-5[/tex]

[tex]r(0)=(0)^2+2(0)-5=-5[/tex]

[tex]r(3)=(3)^2+2(3)-5=10[/tex]

Now,

[tex]m_1=\dfrac{r(3)-r(0)}{3-0}[/tex]

[tex]m_1=\dfrac{10-(-5)}{3}=5[/tex]

From the graph it is clear that q(0)=-4 and q(3)=5.

[tex]m_2=\dfrac{q(3)-q(0)}{3-0}[/tex]

[tex]m_2=\dfrac{5-(-4)}{3}=3[/tex]

It is given that  function p has as x-intercept at (3,0) and a y-intercept at (0,6). It menas p(0)=6 and p(3)=0.

[tex]m_3=\dfrac{p(3)-p(0)}{3-0}[/tex]

[tex]m_3=\dfrac{0-6}{3}=-2[/tex]

From the given table it is clear that s(0)=-13 and s(3)=5.

[tex]m_4=\dfrac{s(3)-s(0)}{3-0}[/tex]

[tex]m_4=\dfrac{5-(-13)}{3}=6[/tex]

Therefore, the average rate of change of functions r, q, p, s are 5, 3, -2 and 6 respectively.

Answer:

25,217,091

Step-by-step explanation:

4551 * 5541 = 25,217,091

Answer:

4551*5541=25217091

Step-by-step explanation:

Answer:

a) x° = 108°

b) vertically opposite angles (C) justifies my answer.

Answer:

The answer is option c.

Its an vertically opposite angle because when two lines intersect eachother then theangles formed opposite to it is called v.o.a (vertically opposite angle)

Hope it helps...

Answer:

Solution : Graph 4

Step-by-step explanation:

Let's break down this function,

{ y = 5 if x ≤ - 2, y = 0 if x = 3, y = - 1 if x > 3 }

As you can see, graph 4 is the only one that represents this.

• When y = 5, x  ≤ - 2. This is represented by a ray with a colored hole, indicating that x = - 2. At the same time this ray extends infinitely in the negative direction, indicating that x < - 2.

• When y = 0, x = 3. This is represented as the point ( 3, 0 ).

• And when y = - 1, x > 3. At y = - 1 another respective ray, that has a non - filled hole, indicates that x ≠ 3. The ray extends infinitely in the positive direction, meeting the criteria that x > 3.

Answer:

7.1 km

Step-by-step explanation:

Bien, este es un problema de conversión de unidades.

Procedemos de la siguiente manera;

Convirtamos todas las alturas que tenemos a metros.

Comenzamos con 23,000 decímetros a metros Matemáticamente, 1 metro = 10 decímetros Entonces 23,000 decímetros = 23,000 / 10 = 2,300 metros

En segundo lugar, convertimos 54 hectómetros a metros.

Matemáticamente; 1 hectómetro = 100 metros Entonces 54 hectómetros = 54 * 100 = 5400 metros Por lo tanto, su nueva altura sería; 14,800-2300-5400 = 7,100 metros Ahora, procedemos a convertir 7.100 metros a kilómetros.

Matemáticamente 1000 m = 1 km Entonces 7,100 m serán = 7100/1000 = 7.1 km

Responder:

Explicación paso a paso:

Altura inicial del avión = 14.800 m.

Como se redujo en 23,000 decímetros y luego en 54 hectómetros, la caída total de altura se obtiene al agregar 23,000 decímetros y 54 hectómetros

Antes de agregarlos, necesitamos convertir ambos valores a metros

1 decímetro = 0.1m

23,000 decímetros = x

x = 23,000 * 0.1

x = 2,300 metros

Además, si 1 hectómetro = 100 m

54 hectómetros = y

y = 54 * 100

y = 5400 metros.

Sumando ambas alturas;

x + y = 2300m + 5400m = 7700 metros

Esto significa que el avión cae por una altura total de 7700 metros

Para calcular la altura a la que volará el avión después de la caída, tomaremos la diferencia entre la altura inicial y la altura total caída.

La altura que el avión está volando ahora será 14,800 - 7,700 = 7,100 metros

Convirtiendo la respuesta final a kilómetros.

1000m = 1km

7.100m = z

z = 7100/1000

z = 7.1 km

Esto significa que el avión está volando a una altura de 7.1 kilómetros después de la caída.

Answer:

Step-by-step explanation:

(0+2)/(0-10)= 2/-10 = -1/5

y - 0 = -1/5(x - 0)

y = -1/5x

solution is D

Answer:

50

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Use the Pythagorean Thereom:

[tex]r^{2}[/tex] = [tex]9^{2}[/tex]+[tex]12^{2}[/tex]

[tex]r^{2}[/tex] = 81+144

[tex]r^{2}[/tex] = 225

[tex]r[/tex]= 15

Please mark me as Brainliest!

Answer:

A

Step-by-step explanation:

Answer:

x=10 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + ( sqrt(200) )^2 = (sqrt(300))^2

x^2 +200 = 300

Subtract 200 from each side

x^2 +200-200 = 300-200

x^2 = 100

Take the square root of each side

sqrt(x^2) = sqrt(100)

x = 10

Answer:

95

Step-by-step explanation:

a=3,b=2

3^2+3(2)-2^2

a=11,b=13

11^2+11(13)-13^2

= 95

Answer:

95

Step-by-step explanation:

If a ∆ b = a² + ab - b²,

Then (3 ∆ 2) ∆ 13:

a = 3

b = 2

3 ∆ 2 = 3² + 3 × 2 - 2² = 11

a = 11

b = 13

11 ∆ 13 = 11² + 11 × 13 - 13² = 95

The answer is 95.

Answer:

24.5 oz

Step-by-step explanation:

First lets calculate the blood tests, 3/4 oz of solution.

3/4 multiplied by four tests= 3. (.75*4=3)

So 3 oz of Blood Tests were performed, now lets calculate the amount of tissue staining tests for performed.

1/2 multiplied by five tests= 5/2 or 2.5 oz of tests. (.5*5=2.5)

3oz+2.5=5.5oz

Now let's subtract that amount by 30.

30-5.5=24.5

Answer:

3/2

Step-by-step explanation:

● (-3/8) ÷(-1/4)

Flip the second fraction by putting 1 instead 4 and vice versa.

● (-3/8)* (-4/1)

-4 over 1 is -4 since dividing by 1 gives the same number.

● (-3/8)*(-4)

Eliminate the - signs in both fractions since multiplying two negative numbers by each other gives a positive number.

●( 3/8)*4

● (3*4/8)

8 is 2 times 4

● (3*4)/(4*2)

Simplify by eliminating 4 in the fraction.

● 3/2

The result is 3/2

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

Answer:

44°

Step-by-step explanation:

The secant- secant angle y is half the difference of the measure of its intercepted arcs, that is

[tex]\frac{1}{2}[/tex](BHF - CGJ ) = y , that is

[tex]\frac{1}{2}[/tex](156 - CGH) = 56° ( multiply both sides by 2 )

156 - CGH = 112° , thus

CGH = 156° - 112° = 44°

Answer:

The answer is b

Step-by-step explanation:

since 2*9=18 and (x)(2x+3)=2x^2+3x

Answer: B

Step-by-step explanation:

Answer:

[tex]\boxed{\frac{1}{2} }[/tex]

Step-by-step explanation:

Let the assistants be x

Condition:

Ratio is also "division"

So,

[tex]\frac{x}{players} = \frac{1}{6}[/tex]

=> Where players = 36

=> [tex]\frac{x}{36} = \frac{1}{6}[/tex]

Multiplying both sides by 36

=> x = 6

So,

Assistants = 6

Ratio of coaches to assistants = 3 : 6

=> 1 : 2

In Fraction form

=> [tex]\frac{1}{2}[/tex]

F) 1/2

Because no. of players= 36

Since ratio of team assistant to players is 1:6

Let no of assistant be X

X/36 = 1/6

X= 6

No of assistant= 6

Ratio of coach to assistant= 3/6=1/6

= 1:6

Answer:

84 squared units.

Step-by-step explanation:

In order to find the surface area of the pyramid, you use the following formula:

[tex]S=b^2+\frac{1}{2}ps[/tex]           (1)

b: base of the pyramid = 6

p: perimeter of the base = 6*4 = 24

s: slant height

Then, you first calculate the slant height, by using the Pythagoras' theorem:

[tex]s=\sqrt{(5)^2-(\frac{6}{2})^2}=4[/tex]

Thus, you replace the values of b, p and s in the equation (1):

[tex]S=(6)^2+\frac{1}{2}(24)(4)=84[/tex]

The surface area of the pyramid is 84 squared units.

Answer:

Step-by-step explanation:

wrong

Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.

This means HG and HG are perpendicular and we have a right angle.

We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.

All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:

[tex]180-90-43[/tex]

[tex]=47[/tex]

The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!

Answer:

<G = 47 degrees

Step-by-step explanation:

For this problem, we need to understand two things.  This tangent on the circle, with a line drawn to the center, forms a right angle at H.  Additionally, the sum of the angles of a triangle is 180.  Now with these two things, let's solve.

<G = 180 - (43 + 90)

<G = 180 - 133

<G = 47 degrees

Hope this helps.

Cheers.

Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.

Step-by-step explanation:  The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.

So any other number could be a possibility.

Answer:

2x - y = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = - 2 ( subtract x from both sides )

2y = - x - 2 ( divide all terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 1 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = 2x - 3 ← equation in slope- intercept form

add 3 to both sides

y + 3 = 2x ( subtract y from both sides )

3 = 2x - y, thus

2x - y = 3 ← equation in standard form

]

Answer:

One solution

Step-by-step explanation:

Answer:

The correct answer is A.) one

Step-by-step explanation:

I just did the test on edge 2021 and got it right!

Answer:

Variance =10900.00

Standard deviation=104.50

Step by step Explanation:

Admissions Probability for 1100= 0.2

Admissions Probability for 1400=0.3

Admissions Probability for 1300 =0.5

To find the expected value, we will multiply each possibility by its probability and then add.

mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290

To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.

E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000

Variance(X)=E(X²)- [E(X)]²

= 1675000 - (1290)²

=10900

Hence, the Variance(X)=10900

Then to calculate the standard variation , we will use the formular below,

standard variation (X)=√ var(X)= √10900

=104.5

Hence the standard variation=104.5

Answer:

length=25m

breadth=10m

Step-by-step explanation:

2.5units+2.5units+1unit+1unit=7units

70/7=10

length=10x2.5=25

breadth=10

(sorryy im not really sure but i hope it helps :D)

Answer:

Length = 25 cm

Breadth = 10 cm

Step-by-step explanation:

Let breadth of the room be 'x'

Let length of the room be ''

Perimeter ( P ) = 70 cm

Now, let's find the breadth of the room 'x '

Perimeter of rectangle =  2(l+b)

plug the values

70=2(2.5x+x)

Collect the like terms

70=2x3.5x

Calculate the product

70=7x

Swap the sides of the equation

7x=70

Divide both sides of the equation by 7

7x / 7= 70/7

Calculate

x=10cm

Breadth = 10 cm

Now, Let's find the length of the room ' 2.5x '

Length of the room =  2.5x

Plug the value of X

2.5x10

Calculate the product

25cm

Thus , The length and breadth of the room is 25 cm and 10 cm respectively.

Hope this helps..

Best regards!!

Answer:

x² - 20 = 0

Using the quadratic formula

[tex]x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a} [/tex]

a = 1 b = 0 c = -20

So we have

[tex]x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5} [/tex]

Hope this helps you.

Answer: B. He loses 1/5 of his points in the next crash

Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points

After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.