Jose desea que la puerta de su cuarto solo se pueda abrir hasta cierta posicion (ver figura). Si uno de los angulos de la abertura mide (x + 5)° y la otra (2x + 13)°. Cual seria la medida del angulo de la abertura menor?

Jose Desea Que La Puerta De Su Cuarto Solo Se Pueda Abrir Hasta Cierta Posicion (ver Figura). Si Uno

Answers

Answer 1

Answer:

La medida del ángulo de la abertura menor es 29°.      

Step-by-step explanation:

Podemos calcular la medida del angulo de la abertura menor hallando el valor de "x" en la siguiente ecuación:

[tex] (x + 5) + (2x + 13) = 90 [/tex]   (1)

Dado que en la figura podemos observar que la suma de ambos ángulos de abertura resulta en un ángulo rectángulo.

Al resolver la ecuación (1) tenemos:                                  

[tex] x + 2x = 90 - 13 - 5 [/tex]

[tex] 3x = 72 [/tex]

[tex] x = 24 [/tex]

Ahora, podemos encontrar los ángulos de abertura.

Angulo de abertura menor:

[tex] x + 5 = 24 + 5 = 29^{\circ} [/tex]

Angulo de abertura mayor:

[tex] 2x + 13 = 2*24 + 13 = 61^{\circ} [/tex]

Por lo tanto, la medida del ángulo de la abertura menor es 29°.

Espero que te sea de utilidad!  


Related Questions

2 – 5 + 4 – 6 – 2 + 12
11
-5
5
1

Answers

Answer:

C. 5

Step-by-step explanation:

2 - 5 + 4 - 6 - 2 + 12

2 + 4 + 12 - 5 - 6 - 2

18 - 5 - 6 - 2

18 - 13

5

5 is your answer queen

What is the area of a trapezoid that has the following dimensions? b: 45 mm bz: 37 mm h: 6 mm 2 A=​

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The answer is 246.
A=246

Please help me with 20,21 please

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Answer:

Step-by-step explanation:

cool good luck

Give the Ratio for SIN X

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Step-by-step explanation:

opposite/hypotenuse = sin x

An animal reserve has 20,000 elk. The
population is increasing at a rate of 8% per
year. There is a concern that the food will be
scarce when the population doubles. How
long will it take for the population to reach
40,000. Show and explain your work.

Answers

Answer:

9 years

Step-by-step explanation:

by using the formula :

20,000(1 + 0.08) ^n = 40,000

=> (1.08)^n = 40,000/20, 000

(1.08) ^n = 2

n = 9

[tex]\\ \rm\Rrightarrow P(1+r)^n=I[/tex]

P is principalR is rate if interestI is final amount

[tex]\\ \rm\Rrightarrow 20000(1+0.08)^n=40000[/tex]

[tex]\\ \rm\Rrightarrow (1.08)^n=2[/tex]

[tex]\\ \rm\Rrightarrow log(1.08)^n=log2[/tex]

[tex]\\ \rm\Rrightarrow nlog1.08=log2[/tex]

[tex]\\ \rm\Rrightarrow n(0.033)=0.3[/tex]

[tex]\\ \rm\Rrightarrow n=3(3)=9[/tex]

There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at random, not replaced, and another was picked, what is the probability of both marbles selected to be blue?

Answers

Answer:

2/15

Step-by-step explanation:

4/10 * 3/9 = 12/90 = 2/15

I need a little help

Answers

ok so you have to take out c beacsue ########

Change 0.5 + 0.28 to fractions and add

Answers

Answer:

5/10 + 28/100 = 39/50

Step-by-step explanation:

i hope this helps :)

As students arrive at school one morning, every tenth
student is asked which band he or she prefers for the dance

Answers

Answer:

Step-by-step explanation:

cos²x - sin²x = 0,66​

Answers

x = 24.35°

Step-by-step explanation:

Recall that

cos²x - sin²x = cos 2x

which means that

cos 2x = 0.66 ---> 2x = cos^-1 (0.66) = 48.7°

or x = 24.35°

Answer:

x = 24.35, 155.65, 204.35, 335.65  degrees ( for 0 < x < 360 degrees).

Step-by-step explanation:

cos²x - sin²x = 0.66

cos^2 x = 1 - sin^2 x so

1 - sin^2 x - sin^2 x = 0.66

1 - 2sin^2 x = 0.66

2sin^2 x = 1 - 0.66

sin^2x = 0.34/2 = 0.17

sin x = +/- √0.17

= +/- 0.41231

x = 24.35 degrees ( in first quadrant)

and 180 + 24.35 = 204.35 degrees in third quadrant.

Is 1/4 squared a rational?

Answers

Answer:

It is a rational.

Step-by-step explanation:

0.25² = 0.0625

It is a rational.

Pls HELP Iĺl give brainliest!

Answers

Hope it helps you...

I need help on this one!!!

Answers

Answer:

It is false because the example shown is using conduction as the transfer of heat since it's using direct contact.

name this figure ( multiple choice )

Answers

Answer:

Octagonal pyramid

Step-by-step explanation:

Answer:

It has 8 sides

Octagon has 8 sides

So Octagonal Pyramid

What’s the answer in factor 5x + 5 =

Answers

The answer to that question would be: 25x

What is true about the figure?
In the figure, angles C and D are a
Therefore, angle C must measure
B = ?
C = ?
A = ?
D = 124°

Answers

Answer:

<A = 56degrees

<B = 34degrees

<C = 56degrees

Step-by-step explanation:

From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;

<C + <D = 180

<C + 124 = 180

<C = 180 - 124

<C = 56degrees

Also;

<B + 90 + <C = 180

<B + 90 + 56 = 180

<B  + 146 = 180

<B = 180 - 146

<B = 34degrees

Similarly;

<A + <B = 90

<A + 34 = 90

<A = 90 - 34

<A = 56degrees

find the volume of a rectangular pyramid with a base of 2 meters by 6 meters and a height of 3 meters (no photo attached)

Answers

Answer:

36 meters^3

Step-by-step explanation:

Formula: Bh

B=Base area

h=height

to find the base area, multiply 2 and 6

2x6 = 12

B=12

and the height is given, so just insert your numbers into the formula

12x3=36

Find the volume of the prism shown.

Answers

Answer:

41.16 m³

Step-by-step explanation:

1/2 ( 2.8 x 4.2) * 7 = 5.88

5.88 x 7 = 41.16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The table below shows the hours. x spent working on a new and the distance, y, of fished road.
Time. Distance
(hours) (miles)
50. 1.5
200. 6
350. 10.5
400. 12
650. 19.5


What is the slope of the line that is these date
A. 3/400
B. 3/100
С . 3/23
D. 3​

Answers

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

What is slope of line?

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

[tex]x_1[/tex]=1.5, [tex]x_2[/tex]= 6, [tex]y_1[/tex]= 50, [tex]y_2[/tex]= 200

Slope of line, m= Δy/Δx

                       m=  [tex]x_2[/tex]- [tex]x_1[/tex]/ [tex]y_2[/tex]-  [tex]y_1[/tex]

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

Learn more about slope of line here:

https://brainly.com/question/16180119

#SPJ2

Find Side AB and round to the nearest tenth of a decimal

Answers

Answer:

AB = 8.0

Step-by-step explanation:

Law of Sines

AB/sin53 = 7/sin44

multiply both sides by sin53

AB = 7/sin44 * sin53

use calculator

AB = 8.047766798861355

Rounded

AB = 8.0

in a right triangle, 0 is an acute angle and tan 0=8/5. What is the exact value of cos 0?

Answers

Answer:

[tex]\cos\theta=0.53[/tex]

Step-by-step explanation:

Given that,

[tex]\tan\theta=\dfrac{8}{5}[/tex]

We know that,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular and B is base

Let H is hypotenuse of triangle. Using Pythagoras theorem,

[tex]H^2=P^2+B^2\\\\H=\sqrt{P^2+B^2} \\\\H=\sqrt{8^2+5^2} \\\\H=9.43[/tex]

We know that,

[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{5}{9.43}\\\\\cos\theta=0.53[/tex]

So, the value of [tex]\cos\theta[/tex] is equal to 0.53.

Your brother eats 1/6th of your birthday pizza. If the pizza has a diameter of 12 inches, what is the area that he ate

Answers

Answer:

18.84 in^2

Step-by-step explanation:

Area brother ate = 1/6 x area of pizza

a pizza is the shape of a circle. the area of a pizza is equal to the area of a circle

Area of a circle = πr²

r = 12/2 = 6

he diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x 6^2 = 113.04

1/6 x 113.04 = 18.84

4. Suppose 11 out of 17 students said they were attending the football game. How many students out of 875 would you expect to attend the football game?

Please help me out ill mark brainliest​

Answers

We have to basically multiply:

11/17 x 475

And simplifying that we get

307.35

And since there can't be .35 person

So out final answer is 307

pls pls brainlist

PLEASE HELP IM BEGGINGG

What is the probability that a person whose name starts with the letter "J" will win the
presidency and the vice presidency? Write your answer as a simplified fraction.

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Answer:

theres a 66.67%

Step-by-step explanation:

Which graph represents y as a function of x?​

Answers

Answer:

b

Step-by-step explanation:

Answer:  Graph A (upper left corner)

=======================================================

Explanation:

Graph B, C and D all fail the vertical line test. If it's possible to pass a vertical line through more than one point on the curve, then it's said to have failed the vertical line test. Any vertical line itself therefore is automatically not a function. If a graph fails the vertical line test, then it is not a function.

A function is only possible if for any given input x, we have exactly one and only one output. For graph A, the output is the same value regardless of the input. This is a constant function.

For something like graph B, the input x = 0 produces three different y outputs. The output y = 0 is one of those, and the others are off the screen so it's hard to tell what they are. Turns out it doesn't matter and all we need to do is the vertical line test. Graphs C and D are a similar story. In the case of graph D, the only input x allowed is x = 2 and it produces infinitely many y outputs.

math problem screen picture

Answers

384 inches cubes length•width•height

Please help me with this homework show me how you get it and the answer

Answers

Answer:

226.08

Step-by-step explanation:

V=pir^2h

=3^2 x pi x8

=226.08


1. How many students are there in Jerry's study?

Answers

14 students. There are 14 points on his graph.

PLEASEEEEEE SAVE ME FROM THIS NIGHTMARE

Answers

Answer:

⅓ chance

Step-by-step explanation:

all fish together there are 15 fish, 10 are large. 5 of those 10 are red, so 5 total out of 10 fish are red and large. 5/15 simplified is ⅓

an explanation please? I don’t even need the answer I’m just confused on what to do with the extra number knowing how to multiply with the 2 other numbers!

Answers

Answer:

Area = 21 un²

Explanation down Below!

Step-by-step explanation:

You don't need to worry about the 8 at all at this point

To find the area of a parallelogram you need to do base x height.

The height is 7, and the base of that height is 3.

7 x 3 = 21

Let me tell you why you do base x height.

if you cut out the triangle from the top and place it at the bottom it will become a rectangle.

The formula for a rectangle is base x height so this is why the formula works.

There is a picture for your reference.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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