6. Find an angle which is equal to its complement.

Answers

Answer 1

Answer:

x= 45

Step-by-step explanation:

Complementary angles equal 90 degrees

The angles are equal

x+x = 90

2x= 90

Divide by 2

2x/2 = 90/2

x= 45


Related Questions

xét tính chẵn lẻ của hàm số : y = tanx + cotx

Answers

Answer:

Step-by-step explanation:

Anyone good at Ks3 maths

Answers

Answer:

[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 56 \times 3 \frac{1}{2} }} \\ = { \tt{196 \: miles}}[/tex]

In trapezoid WXYZ, m∠ZYX=107°. Identify m∠ZWX.

Answers

Answer:

73 degrees.

Step-by-step explanation:

the inward angle at W is the outward angle at Y and therefore the complement of 107 degrees to 180.

180 - 107 = 73 degrees.

The measure of angle ZWX is 73 degrees.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We are given that the trapezoid WXYZ, m∠ZYX=107°.

We have been given an image of a trapezoid and we are asked to find the measure of angle ZWX .

We can see from our trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals

m∠ZYX + m∠ZWX = 180

m∠ZWX = 180 - 107

m∠ZWX = 73 degrees.

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Researchers want to see if playing with a specific toy increases the verbal abilities of young children. One group of children plays with the new toy for 4 hours a week for 4 weeks and is given a vocabulary test at the end of the experiment. The other group of matched pairs follows the same schedule, but these children play outside instead of with the toy. The children who play outside are the _____ group.

Answers

Answer:

Hence the children who play outside are the Control group.

Step-by-step explanation:

Researchers want to ascertain if twiddling with a selected toy increases the verbal abilities of young children. One group of youngsters plays with the new toy for 4 hours every week for 4 weeks and is given a vocabulary test at the top of the experiment. the opposite group of matched pairs follows an equivalent schedule, but these children play outside rather than with the toy. the children who play outside are the Control group.

Here the One group of children who plays with the toy is considered an experimental group.

Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3

Answers

Answer:

[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]

eje conjugado = [tex]2\sqrt{3}[/tex]

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

de los focos podemos obtener que:

[tex]c=\sqrt{28}[/tex]

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

[tex]b=\sqrt{3}[/tex]

podemos utilizar la siguiente fórmula para obtener a:

[tex]c^{2}-a^{2}=b^{2}[/tex]

si despejamos a en la ecuación obtenemos lo siguiente:

[tex]a=\sqrt{c^{2}-b^{2}}[/tex]

ahora podemos sustituir los valores:

[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]

[tex]a=\sqrt{28-3}[/tex]

[tex]a=\sqrt{25}[/tex]

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]

[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]

si graficamos la hipérbola, queda como en el documento adjunto.

how to find range from a distribution table.​

Answers

Answer:

Range = highest value - lowest value

Explanation:

This is the required formula to find range from a distribution table.

Find the value of x rounded to the nearest tenth.

Answers

Answer:

The answer to the equation is C

pls help me w this question!!

Answers

Answer:

v =  sqrt(473)

Step-by-step explanation:

v^2 = u^2 +2as

Let u = 9 a = 7 and s = 28

v^2 = 9^2 +2(7)(28)

v^2 = 81 + 392

v^2 = 473

Take the square root of each side

sqrt(v^2) = sqrt(473)

v =  sqrt(473)

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals. If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?

Answers

Answer:

5x less than 300  - 165

Step-by-step explanation:

It will take 27 days to take in animals without exceeding its occupy limit.

What is algebraic expression ?

An expression which is made up of variables and constants , along with algebraic operation (addition , subtraction etc ) is called Algebraic expression.

According to the question :

165 + (x) 5 = 300

5x = 135

x = 27

Hence , it will take 27 days to occupy the limit

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i know it’s kinda all hard to see. i have many more questions like this and i can’t do graphs to save my life.. pls help !!

Answers

Answer: D

Step-by-step explanation:

Help pleas like please ASAP

Answers

Answer:

(x+9)(x+5)

Step-by-step explanation:

find 2 numbers that add to 14 and multiply to 45

X+9 x+5 hope that helped

A ladder that is 10 feet long leaning against a wall perpendicular to the ground. The point at which the ladder touches the walk is 8 feet above the ground. How far away is the base of the ladder from the bottom of the wall ?

Answers

Answer:

6 feet

Step-by-step explanation:

Gonna use the Pythagorean Theorem: a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract both sides by 64

a² + 64 = 100

     -64     -64

a² = 36

Square root both sides

√a² = √36

a = 6 = length between bottom of the wall to the base of the ladder

Madam Chong's mass is 72 kg. After participating in a fitness programme, her mass decreases at a rate of 3 kg per month. Find the minimum number of months that Madam Chong has to participate in the programme so that her mass becomes less than 52 kg. (Give your answer to the nearest whole number.)​

Answers

decrease 3kg per month
let x be the months that MC has to participate
72 - 3x < 52
-3x < -20
x > 20/3
about 7 months, i guess hth

One of the legs of a right triangle measures 9 cm and its hypotenuse measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

13.2 cm

Step-by-step explanation:

using the Pythagorean theorem, we can find the length of the other leg, since this is a right triangle. The equation is a^2 + b^2 = c^2, A and B being the legs and C being the hypotenuse. Since we are finding the other leg, we can switch the equation around to find A/B instead. (A/B being the legs). so we get: B^2 = C^2 - A^2 ; then we simplify [tex]b=\sqrt{c^2-a^2}[/tex]

We plug in the numbers given:

[tex]b = \sqrt{16^2-9^2}\\b=\sqrt{256-81}\\b=\sqrt{175} \\b= 13.229[/tex]

rounded to nearest tenth: 13.2

The measure of the other leg in the right triangle is 13.22 cm.

What is a right triangle?

A triangle with one angle measuring 90° is called a right triangle.

Given that, a right triangle has a leg measuring 9 cm and its hypotenuse is 16 cm longs, we need to find the other side,

So, using the Pythagoras theorem,

16² = 9² + x²

x = √256-81

x = √175

x = 13.22

Hence, the measure of the other leg in the right triangle is 13.22 cm.

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SOMEONE PLEASE HELP!

Answers

Answer:

[tex]XY=16.2[/tex]

Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

[tex]\frac{WX}{ST}=\frac{XY}{TU}[/tex]

Substitute,

[tex]\frac{18}{3}=\frac{XY}{2.7}[/tex]

Simplify,

[tex]6=\frac{XY}{2.7}[/tex]

Inverse operations,

[tex]6=\frac{XY}{2.7}[/tex]

[tex]6(2.7)=XY\\\\16.2=XY[/tex]

| How many different arrangements of the word
PARRAMATTA are possible?

Answers

Answer:

10

Step-by-step explanation:

As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A

Answers

Answer:

a. Produce more, as long as the resources are also available

Step-by-step explanation:

from brainly itself

scouteo

Ace

The correct answer is A) produce more, as long as the resources are also available.

As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.

A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.  

In a city of 26,000 population 5000 read English news paper, 12000 read Nepali La News paper and 1000 read both of these. What percent read neither English nor Ne newspaper. ​

Answers

Answer:

38.46%

Step-by-step explanation:

We are given;

Total population; n(S) = 26000

Number that read English news paper; n(E) = 5000

Number of people that read nepali; n(N) = 12000

Number that read both English and nepali; n(E n N) = 1000

Thus from probability laws, number that read either English or nepali is;

n(E u N) = n(N) + n(E) - n(N n E)

n(E u N) = 12000 + 5000 - 1000 = 16000

Thus;

number that read neither English nor nepali is;

n(E' u N') = n(S) - n(E u N)

n(E' u N') = 26000 - 16000 = 10000

Thus, the percentage is;

10000/26000 × 100% = 38.46%

Which situation does the graph illustrate?

Answers

Answer:

eju 48, 23w6yuw43wdgn

Step-by-step explanation:

Solve the equation 2sin x cos x = cos x, for 0° < x≤ 90°​

Answers

Answer:

2sinx.Cosx=cosx

2sin90°.cos90°=cos90°

2×1.0=0

0=0

Help me please for this question im heavily confused.

Answers

Answer:

a)

Let x = number of candy bars sold

Let y = amount of money earned

b)

y = 0.75x

c)

He should work at the car wash.

Step-by-step explanation:

a)

Let x = number of candy bars sold

Let y = amount of money earned

b)

$42.75/57 = $0.75

Each candy bar costs $0.75

We can confirm that by dividing $38.25/51 = $0.75

1 candy bar sells for $0.75

2 candy bars sell for $0.75 * 2

x candy bars sell for 0.75 * x, or simply 0.75x

The equation is y = 0.75x

c)

y = 0.75x

y = 0.75 * 36

y = 27

Larry raised $27 by selling candy bars last year. This year, he can earn more than that by working at the car wash.

He should work at the car wash.

It is a good idea to check your solutions when using the quadratic formula?

Answers

Answer: Since the square root of a negative number is not a real number, then a negative radical will result in no real solution.

Step-by-step explanation:

I need help with this, I can’t figure out the answer…

Answers

The answer is 60cm you got to add all the cm ul

The initial population of a town is 4200​, and it grows with a doubling time of 10 years. What will the population be in 8 ​years?

Answers

Answer:

The population in 8 years will be of 7313.

Step-by-step explanation:

Population of a town:

The population of a town, after t years, with a doubling time of n years, is given by:

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

The initial population of a town is 4200​, and it grows with a doubling time of 10 years.

This means that [tex]P(0) = 4200, n = 10[/tex]

So

[tex]P(t) = 4200(2)^{\frac{t}{10}}[/tex]

What will the population be in 8 ​years?

This is P(8). So

[tex]P(8) = 4200(2)^{\frac{8}{10}} = 4200(2)^{0.8} = 7313[/tex]

The population in 8 years will be of 7313.

Help Please!!!
Find the volume of the sphere

Answers

Answer:

523.6

Step-by-step explanation:

Not sure how to explain •-•

Hope it helps c:

Answer: use formula pi r^3

3.14 × 5 x 5 x 5 x 4 ÷ 3

Step-by-step explanation:

Brooke and Lamont ran a half marathon Brooke finished in 1 hour 50 minutes Lamont finished in 100 minutes who had the faster time​

Answers

Answer:

Brooke = 1 hr 50 min

Lamont = 100 min = 1 hr 40 min

Because 60 min = 1 hr

Lamont was faster

Hope this helped

Please help right now (30 points if you’re interested) The table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. Find equivalent ratios when the number of books ordered is 1,2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin explain how to plot three equivalent ratios on a coordinate grid.

Answers

The equivalent ratios are: (1, 2), (2, 4), and (3, 6)

The graph can be plotted on a coordinate grid as shown in the diagram attached below.

Recall:

Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.k = y/x

Let x = number of books

y = cost (dollars)

Using any of the ordered pairs from the table, say, (7, 14), find k:

k = y/x = 14/7 = 2

Write the equation by plugging in the value of k into y = kx

y = 2x

Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:

When x = 1:

y = 2(1) = 2 --> (1, 2)

When x = 2:

y = 2(2) = 4 ---> (2, 4)

When x = 3:

y = 2(3) = 6 ---> (3, 6)

The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.

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please help me out (geometry)

Answers

Answer:

x = 15

Step-by-step explanation:

2x+10+4x+80=180

or, 2x+4x=180-80-10

or, 6x=90

or, x=15

Answered by GAUTHMATH

ASAP PLEASE HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEE

Answers

Answer:

-2/5 is the answer

I hope this will help you

Answer:

-2/5

Step-by-step explanation:

Just add the top numerator together -4 + 2 = -2

Which function is represented by the graph

Answers

Answer: A

Screenshot of calculator

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