Really easy question
-12/15 + -5/15 ?
There’s an even amount of negatives so will the answer be positive?

Answer:

24/5

Step-by-step explanation:

(6) 4/5 ------------ per 1/6h (6)

24/5----------- per 1h

Answer:

Ejercicios Resueltos  

ANGULOS  

1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en  

grados?  

Solución:  

2x x 90 += °

3x 90

x 90 / 3

x 30

= °

= °

= °

2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?  

Solución:  

5x+x=180

6x=180

x=180 /6

x=30

°

°

°

°

3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya  

diferencia es 10 .  

°

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 10

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 100

x 100 / 2

x 50

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación: 50 y 90

y 90 50

y 40

°+ = °

= °−

= °

°

∴La solución al problema es x 50 , y 40 =°= °

°

4. Hállense dos ángulos complementarios tales que su diferencia sea  

30° .  

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 30

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 120

x 120 / 2

x 60

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación:  

60 y 90

y 90 60

y 30

°+ = °

= °−

= °

∴La solución al problema es x 60 , y 30 = °= °

°

5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor  

que el otro.  

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 180

x y 20

+= °

=+ °

-Resolvemos el sistema:  

(y 20 ) y 180

2y 180 20

2y 160

y 80

+ °+ =

= °− °

= °

= °

-Hacemos la sustitución del valor encontrado de y en la primera  

ecuación: x 80 180

x 180 80

x 100

+ °=

= °−

= °

°

°

∴La solución al problema es:  

x = °= ° 100 , y 180

TRIANGULOS  

1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente  

triángulo?  

Solución:  

Nota: La suma de los ángulos interiores de los triángulos es  

180° .  

((( A B C 180 ++= °

3x 5x 4x 180 ++ = °

12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °

x 15 = °

∴( ( A 45 , B 75 ,C 60 =° =°= °

°

°

°

°

°

°

2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?  

Solución  

a) Ángulo extendido  

( ( B CBR 180 + = Esto debido a que son ángulos suplementarios  

(B 15x 60 180 + − °=

(B 180 60 15x = °+ °−

(B 240 15x = °−

b) Suma de los ángulos interiores del triángulo  

((( A B C 180 ++=

3x (240 15x) 4x 180 + °− + =

7x (240 15x) 180 + °− =

− + °= 8x 240 180− =− 8x 160°

x 7.5 =

∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °  

3.- Escribe la definición de bisectriz del triángulo.  

Es la semirrecta que biseca el ángulo, es decir, divide el ángulo  

en dos ángulos congruentes.  

4.- ¿Qué es la mediatriz de un triángulo?  

La mediatriz de un lado de un triángulo (y en general de un  

segmento de recta), es la recta perpendicular a ese lado en su  

punto medio.  

5.- ¿Que es la mediana de un triángulo?  

La mediana de un triángulo, es el segmento de la recta que une  

un vértice con el punto medio del lado opuesto.  

CUADRILATEROS  

1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son  

iguales dos a dos?  

Rectángulo  

2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º  

y 70º, ¿Cuánto medirá el ángulo que falta?  

100º

3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?  

Rombo  

4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?  

Trapecio  

5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de  

altura  

A b*a

A 5*3

A 15

=

=

=

POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente  

110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?  

Solución:  

Si la suma de los ángulos interiores de un polígono es:  

180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los  

valores de los ángulos que se dieron, consecuentemente, el  

quinto ángulo vale 130°.  

2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos  

interiores suman respectivamente 1080°, 900°, 1260°?  

Solución:  

Despejando de la fórmula el valor de n, tenemos que:  

. 2

180

suma angulos n = ° + , y esto aplicado a cada valor de la suma de los  

ángulos internos, obtenemos que los valores de n son 8, 7 y 9  

respectivamente.  

3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?  

Solución:  

Aplicando el teorema de que la suma de los ángulos exteriores  

de un polígono es 360°, entonces cada ángulo exterior vale  

360°/8 = 45°  

4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene  

un ángulo agudo doble del otro.  

Solución:  

Se tiene que la suma de los ángulos interiores es  

180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,  

despejando x de 3x = 90°, x= 30°, entonces los ángulos  

interiores son 30°, 60° y 90°, teniendo como ángulos exteriores  

150°, 120° y 90°.

Step-by-step explanation:

Answer:

8.25

Step-by-step explanation:

(8x 8) + (2x2) = x ^2

64 + 4 = x2

x = √68

x = 8.25

Answer:

18

Step-by-step explanation:

Let the number be 'x'

Sum of 'x' and 12 = x +12

The product of 8 and the sum of a number and 12 = 8* (x +12)

            = 8*x + 8*12

            = 8x + 96

8x + 96 = 240

Subtract 96 from both sides

8x  + 9 6 - 96  = 240 - 96

8x = 144

Divide both sides by 8

x = 144/8

x = 18

Answer:

cos30= (root3)/2 cos45= (root2)/2 cos60= 1/2

so the correct answer is 30

Answer:

(A)48

(B)volume of one of the small cubes is 1/64cm^3

c)3/4x1x1=3/4cm^3

Step-by-step explanation:

Answer:

The minimum sample size required to create the specified confidence interval is of 565.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Found the standard deviation to be 1.3.

This means that [tex]\sigma = 1.3[/tex]

Error of no more than 0.07. What is the minimum sample size required to create the specified confidence interval?

This is n for which M = 0.07. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.07 = 1.28\frac{1.3}{\sqrt{n}}[/tex]

[tex]0.07\sqrt{n} = 1.28*1.3[/tex]

[tex]\sqrt{n} = \frac{1.28*1.3}{0.07}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.28*1.3}{0.07})^2[/tex]

[tex]n = 565.1[/tex]

Rounding up:

The minimum sample size required to create the specified confidence interval is of 565.

Answer:

The combination 9 mm, 6mm, 5mm will not form a triangle.

9 +6 = 15 > 5

6+5= 11 < 9

9+5 =14 > 6

Explanation :

because the side length of triangle does not obey triangle inequality theorem.

The triangle inequality theorem:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Answer:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

2/8 = .25 or 25%

To find the percent of people who are not included in the 25%

100% - 25% = 75%

75% surveyed did not choose fluoride toothpaste.

Given,

2/8 = .25 or 25%

To find the percent of people who are not included in the 25%

100% - 25% = 75%

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Learn more about Problem-solving here: brainly.com/question/13818690

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Answer:

796

Step-by-step explanation:

First turn it into 3 Composite Shapes, Then add the sums up to get you answer. You would separate them using the given numbers. DO NOT USE THE LARGE NUMBER: 53 you have to put them into 3 tiny squares using the numbers it gives you. Look at the image, to look at how to separate them and then i will continue the math.

To Do This You Also Have To Follow PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

I color coded it for you so that you could tell what block was what.

I also put color under the numbers that were also with the block that you needed to multiply.

For the first square/red square you need to do the math:

25x17=415

For the second square/blue square you need to do the math:

24x(25-12)=

24x13=312

For the third and final square/green square you need to do the math:

6x12=72

For the last step you have to add all the sums together to get the quotient/answer:

415+312+72=796

Answer:

the answer would be y= -40

Answer:

10%

Step-by-step explanation:

Samantha is a business development representative

She took her client out for a dinner that costs $180.75 before taxes

She paid tax of $18.08 on the meal

The tax rate can be calculated as follows

= 18.08/180.75

= 0.1 ×100

= 10%

Hence the tax rate is 10%

Answer:

The answer is a

Step-by-step explanation:

it’s a because each dude is 1/2 and you add another one half that’s one and you keep on doing until the last one.

brainliest pls

I hope this helped and was right.

Step-by-step explanation:

Length: 6

width: 4

height:3

Formula :

Volume= l x w x h

6x4x3 =72

72 x 1/2= 36in3/A

Answer:

angle ABE = 115.5

angle DBE = 25.5

Answer:

1)80%

2)210%

3)65%

4)105%

Answer:

80%

210%

65%

105%

Step-by-step explanation:

To solve for each of these equations, let's make them fractions first. The denominator will be 20 since that was the goal.

Elena did [tex]\frac{16}{20}[/tex] pushps.

Jada did [tex]\frac{42}{20\\}[/tex] pushups.

Lin did [tex]\frac{13}{20}[/tex] pushups.

Andre did [tex]\frac{21}{20}[/tex] pushups.

To convert this to percentages, let's multiply each by fraction by [tex]\frac{5}{5}[/tex]. This will give us a denominator of 100. The denominator will represent the percentage.

Elena did [tex]\frac{16}{20}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{80}{100}[/tex] pushps. Elena did 80 percent of the pushups.

Jada did [tex]\frac{42}{20\\}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{210}{100}[/tex] pushups. Jada did 210 percent of the pushups.

Lin did [tex]\frac{13}{20}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{65}{100}[/tex] pushups. Lin did 65 percent of the pushups.

Andre did [tex]\frac{21}{20}[/tex] × [tex]\frac{5}{5}[/tex]  = [tex]\frac{105}{100}[/tex] pushups. Andre did 105 percent of the pushups.

Step-by-step explanation:

x+ 2(7-x) = 11

x+14-2x = 11

-x = -3

x = 3

3+ y = 7

y = 4

x + 2(22-x) = 48

x + 44 -2x = 48

-x = 4

x = -4

-4 + y = 22

y = 26

y = 45-x

x + 2(45-x) = 36

x + 90 -2x = 36

-x = 54

x = -54

-54 + y = 45

y = 99

Answer:

1. x=3 and y=4

2. x=−4 and y=26

3. x=54 and y=−9

Step-by-step explanation:

1. x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute −y+7 for x in x+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute 4 for y in x=−y+7:

x=−y+7  

x=−4+7

x=3(Simplify both sides of the equation)

2. x+y=22;x+2y=48

Step: Solve x+y=22 for x:

x+y+−y=22+−y(Add -y to both sides)

x=−y+22

Step: Substitute−y+22 for x in x+2y=48:

x+2y=48

−y+22+2y=48

y+22=48(Simplify both sides of the equation)

y+22+−22=48+−22(Add -22 to both sides)

y=26

Step: Substitute26 for y in x=−y+22:

x=−y+22

x=−26+22

x=−4(Simplify both sides of the equation)

3. x+y=45;x+2y=36

Step: Solve x+y=45 for x:

x+y+−y=45+−y(Add -y to both sides)

x=−y+45

Step: Substitute−y+45 for x in x+2y=36:

x+2y=36

−y+45+2y=36

y+45=36(Simplify both sides of the equation)

y+45+−45=36+−45(Add -45 to both sides)

y=−9

Step: Substitute−9 for y in x=−y+45:

x=−y+45

x=−(−9)+45

x=54(Simplify both sides of the equation)

I hope this helped!

Answer:

Step-by-step explanation:

Remark

Triangle BAC is isosceles. It has 2 sides that are both radii of the circle. I assume that C is the center of the circle.

Givens

AC = BC                          Both of these are radii.

<BCD = 20o                   Given

<A and <B are equal     Both are opposite a radii of the circle

C is the circle's center  Assumed otherwise we can't do it.

Solution

<BCD is an exterior angle of Triangle ACB  It's on the same straight line as D and A

The sum of 2 remote interior angles = the sum of the exterior angle.

BAC = ABC                   Stated above

BAC + ABC = 20           Stated right above.

2BAD = 20

BAD = 20/2

BAD = 10

Answer:

120 dots

Step by step explanation:

In total there are 120 dots on the edges of a cube.

Given that, a cube has an edge length of 10 cm. Starting at the vertices dots are placed along every edge at 1 cm intervals.

We need to find how many dots will there be in total once the pattern has been completed.

The number of edges in the cube is 12.

Now, the number of dots on an edge of 10 cm has 10 dots.

The total number of dots = Number of dots on an edge × Number of edges in a cube.

=10×12=120.

Therefore, in total there are 120 dots on the edges of a cube.

To learn more about the edges of the cube visit:

https://brainly.com/question/16256718.

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Answer:

-2x - 2 x -4

-2x + 8  (answer)

Step-by-step explanation:

Answer:

See explanation:

Step-by-step explanation:

1: 180-50=130

3: vertical angles are the same, therefore 50

4: 180-50=130

5: angle 1 equals angle 5, therefore 130

6: 50

7: 50, angles 6 and 7 are vertical therefore equal

8: 180-50=130

Answer:

so first we have to make it to y- intercept form

5x + 3y = 7

3y = 7 -5x since we moved to the other side of the equal sign it turns negative

now divide both sides by 3 becuase y needs to have no number in front of it

3y divided by 3

7 divided by 3

-5 divided by 3

now its y = 7/3 - 5/3x

now we need to reorder the terms so its y = mx + b

y = -5/3x + 7/3 or 2.3

mx equals slope so -5/3 is the slope

Step-by-step explanation:

Answer:

−5/3

Step-by-step explanation:

Parallel lines have the same slope. So to find the parallel line you must first find the slope of the original line. Do this by putting the equation into slope-intercept form. Once the equation is in the slope-intercept form it is, [tex]y=-\frac{5}{3}x+\frac{7}{3}[/tex]. Therefore, the correct answer is −5/3.

Answer:

The lowest possible IQ scores of students remaining in the class is 84.46.

The highest possible IQ scores of students remaining in the class is 115.54.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that [tex]\mu = 100, \sigma = 15[/tex]

Find the lowest and highest possible IQ scores of students remaining in the class.

Lowest:

The 15th percentile, which is X when Z has a pvalue of 0.15, so X when Z = -1.036.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.036 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = -1.036*15[/tex]

[tex]X = 84.46[/tex]

Highest:

The 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85, so X when Z = 1.036.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.036 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 1.036*15[/tex]

[tex]X = 115.54[/tex]

The lowest possible IQ scores of students remaining in the class is 84.46.

The highest possible IQ scores of students remaining in the class is 115.54.

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

The answer is $6.03