c. When a rational and an irrational number are added, is the sum rational or irrational?

Answer:

1. 8x

2. 3x

3. 14x

4. 12x

5. 11x

6. 11x

7. 7x + 2

8. 16x +3

9.8x+5

10.9x + 4

11. 21x + 9

12. 7x + 8

Step-by-step explanation:

1. 8x

2. 3x

3. 14x

4. 12x

5. 11x

6. 11x

7. 7x + 2

8. 16x +3

9.8x+5

10.9x + 4

11. 21x + 9

12. 7x + 8

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1.

5x + 3x = 8x

2.

3x + x = 3x

3.

6x + 8x = 14x

4.

9x + 3x = 12x

5.

7x + 4x = 11x

6.

10x + x = 11x

7.

3x + 2 + 4x = 7x + 2

8.

15x + 3 + x = 16x + 3

9.

2x + 5 + 6x = 8x + 5

10.

7x + 2x + 4 = 9x + 4

11.

18x + 3x + 9 = 21x = 9

12.

6x + x + 8 = 7x + 8

EXPLANATION:

If it has the same base value, just add the coefficient.

More simply put, if they have an 'x' in front of them, just add the number before the 'x.'

You can't add a value with an 'x' in front and a value that doesn't

or example, you can't add 12x and 3

13.

3(7x + 5y)

14.

2(x + 7y)

15.

5(3x + 2y)

16.

6(2x + 3y)

17.

10(x + 3y)

18.

2(3x + 7y)

19.

8(x + 2y)

20.

9(5x + 3y)

21.

6(9x + 8y)

EXPLANATION

Find the highest common factor and divide the expression by this value

Place the HCF outside the brackets

Quick test: If you multiply the value outside the brackets by what is on the inside, it should give the original expression

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Answer:

r=10.9cm

Q=12cm

S=14.42cm

Step-by-step explanation:

Pythagoras theorem states H²=b²+h²

H-hypotenuse

B-base

h-height

E.g q 4²+3²=HE

H=√25=5

13²=b²+5²

b²=169-25

b=√144=12

Q=12cm

Answer:

15

Step-by-step explanation:

13/2 +7/2+5

20/2 +5

10+5

=15

The right answer is 15.

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer & Step-by-step explanation:

The problem tells us that ΔABC ≅ ΔDEF. Since we know that this is true, then we also know that ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

So, since we are looking for the measurement of ∠F, then all we have to do is know the measurements of ∠C because they are congruent angles.

So, the measurement of ∠F is 63°

i) If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.

ii) The values of x and y are 120 degrees and 120 degrees respectively.

Answer:

Solution,

<N=180-53-44

=83

[tex] \frac{lm}{sin \: 83} = \frac{14}{sin44} \\ lm = \frac{14 \: sin \: 83}{sin \: 44} \\ lm = 20[/tex]

hope this helps..

Good luck on your assignment..

Answer:

LM =20.00356825

Step-by-step explanation:

We will use the law of sines

sin M        sin N  

-------- = ------------

LN             LM

We can find the measure of N since the sum of the angles of triangles is 180

L+ M+ N =180

53+ 44 + N =180

N =180 - 53-44

N =83

sin 44        sin 83

-------- = ------------

14             LM

Using cross products

LM sin 44 = 14 sin 83

LM = 14 sin 83 / sin 44

LM =20.00356825

Answer:

inverse is opposite so i assume its y and x

Step-by-step explanation:

Answer:

137 units^2.

Step-by-step explanation:

A and B are positioned according to their coordinates, in the X and Y axes Imagine a right angled triangle, where the actual distance between the two points is the hypotenuse, and the other two sides are the distances in the “X” and “Y” axes that separate the two points.

In the “X” axis, they’re separated by 3 -(-1) units that’s 4…

In the “Y” axis, they’re separated by 4 - (-7) units that’s 11…

Now we have the lengths of two sides of the triangle, we can calculate the length of the hypotenuse… But why would we? we’ve been asked for the area of the square, and adding the areas of the squares on the other two sides gives our answer-

4^2 + 11^ 2 = 16 + 121, = 137 units^2. You didn’t specify units, so we don’t know what the area is, we just have a numerical value.

Answer:

58

Step-by-step explanation:

The distance between (-1,4) and (2,-3) is sqrt 58. Square that to be 58

Answer:

0.09

Step-by-step explanation:

Answer:

A. The first graph

Step-by-step explanation:

When you graph these two equations on a graphing calc, you should be able to see one dotted line and one solid, as well as the solutions being mostly in the 1st quadrant.

Answer:

-8, 7

Step-by-step explanation:

Set up an equation.

x² + x = 56

Set the equation equal to zero and factor.

x² + x - 56 = 0

(x + 8)(x - 7) = 0

Solve for x.

x + 8 = 0

x = -8

x - 7 = 0

x = 7

The possible x values are -8 and 7.

Answer:

the probability is 1/3 because there is 3 numbers, and you only land on 1.

Step-by-step explanation:

:))

Answer: D

Step-by-step explanation:

Distributive Property is when you want to apply to FOIL method when you are multiplying out the expression. You would have multiple number/terms to multiply out to. The only answer choice that shows this is D.

In D, you are distributing the 5 to 8 and -2. So, you are multiplying 5×8=40 and 5×-2=-10. Then you have 40-10.

A is just multiplying, 5 and 1/5.

B is just multiplying 5 and 1.

C is just Associative Property, changing the parenthesis.

D  shows Distributive Property.

Answer:

Explanation:

C is the not the answer because when there is a minus sign with a number in front of the parenthesis, the numbers in the parenthesis will bave to be solved instead of distributed.

B is not the answer because there are not even parenthesis to empasise the distibution.

A is not the asnwer because the numbers are simply being canceled out into the number 1 with a fraction and a whole number.

Answer:

Juan:34

Kim:30

Larry:36

Step-by-step explanation:

Answer:

Kim = 30

Juan = 34

Larry = 36

Step-by-step explanation:

30+34+36=100

if Kim has 30 cards and Juan has 4 more than her while Larry has 6 more then Juan would have 34 and Larry would have 36 making this equation true.

Answer:

The relative frequency of event "spin a 3" is calculated by:

F = number of elements/total number of elements

  = 24/50 = 0.48

Hope this helps!

:)

Answer:

89

Step-by-step explanation:

586 divide by 4 is 146.5 so then i rounded to make it 147 then subtracted the points she already had (58) which led me to 89

Answer:

132 questions

Step-by-step explanation:

First, let’s find how many more points she needs.

To find this, find the difference between the points she needs and the points she has.

points needed- points gained

She needs 586 points and already has 58 points.

586 points-58 points

528 points

Now, we need to find how many questions she needs to answer correctly.

She needs 528 points and every correct question is worth 4 points.

Therefore, we can divide 528 by 4 to find how many questions she must answer correctly.

528/4=132

132 questions

She must answer 132 questions correctly to pass the test.

Answer:

5.8 cm

Step-by-step explanation:

A= 1/2 x b x h

A=1/2 x 4.6 x 2.5

A=5.75 CM=5.8 cm

Answer:

[tex]5.8 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4.6 \times 2.5 \\ = \frac{11.5}{2} \\ = 5.75 {cm}^{2} [/tex]

round to one decimal.

5.8

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1/4

Step-by-step explanation:

-1/2 (-5/6+1/3)

Parentheses first

Get a common denominator of 6

-1/2 (-5/6+1/3*2/2)

-1/2 (-5/6+2/6)

-1/2(-3/6)

Simplify the fraction inside the parentheses

-1/2(-1/2)

Multiply

1/4

Answer:

-1/2(-5/6+1/3)

-1/2(-5+2/6)

-1/2(-3/6)

3/12

1/4

Answer:

A + D

Step-by-step explanation:

Answer A is three x's (same as original) and answer D, when expanded using the distributive property, equals 2x + 2 + x, which is equal to 3x + 2.

Answer:

  a. ABCDEFHILO

  b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle

  c. HLNOPQ

  d. ABCD EFGH IJKL MNOP Q

Step-by-step explanation:

a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.

Possible regular polygons are ...

  ABCDEFHILO

__

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

__

c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.

Possible regular polygons are ...

  HLNOPQ

__

d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

  ABCD EFGH IJKL MNOP Q

Answer:

 a. ABCDEFHILO

 b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle

 c. HLNOPQ

 d. ABCD EFGH IJKL MNOP Q

Step-by-step explanation:

a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.

Possible regular polygons are ...

 ABCDEFHILO

__

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

__

c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.

Possible regular polygons are ...

 HLNOPQ

__

d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

 ABCD EFGH IJKL MNOP Q

Answer:

F. 5(12)(7)

Step-by-step explanation:

V=L×W×H

V=7×5×12

=F. V=5(7)(12)

Answer:

t = (A/sx) - r

Step-by-step explanation:

Solve for t like this:

[tex]A = s(t+r)x\\A = sx(t+r)\\\\\frac{A}{sx} = t+r\\\frac{A}{sx} - r = t\\t= \frac{A}{sx} - r[/tex]

Answer:

[tex] \boxed{Area \: of \: trapezium = 72 \: {cm}^{2}} [/tex]

Step-by-step explanation:

[tex]Area \: of \: trapezoid = \frac{1}{2} (sum \: of \: parallel \: sides) \times height[/tex]

Parallel sides are = 9 cm and 15 cm

Height = 6 cm

[tex]Area \: of \: trapezium = \frac{1}{2}(9 + 15) \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2 } \times 24 \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12 \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 72 \: {cm}^{2} [/tex]

Answer:

The side lengths that are the legs are 6 and 12 because the hypotenuse is the largest side length of a triangle (since there are three side lengths shown).  

Answer:

6 & 12

Step-by-step explanation:

In a right triangle, the greatest side length belongs to hypotenuse, other 2 numbers represent the legs

so as per the given, 14 is hypotenuse ans 6 & 12 are legs

Answer:

b

Step by Step Explanation:

Answer:

3+2=5 so the answer is 3/5 multiply by 50

Answer:

Step-by-step explanation:

3+2=5

3/5  x50=30g

2/5 x50=20g

Answer:

x=2

sx = 2 - (2 x 0.04)

sx = 2 - 0.08

sx = 1.92

lx = 2 + (2 x 0.04)

lx = 2 + 0.08

lx = 2.08

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]18-\sqrt{-25}=18-\sqrt{i^{2}*5^{2}}\\\\=18-5i[/tex]

Answer: the answer is b

Step-by-step explanation:

Step-by-step explanation:

You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.

Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

[tex]sin(\theta)=\frac{o}{h} \\sin(30)=\frac{x}{14} \\0.5=\frac{x}{14} \\x=7[/tex]

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

[tex]cos(\theta)=\frac{a}{14} \\cos(30)=\frac{x}{14} \\\frac{\sqrt{3} }{2} =\frac{x}{14} \\x=7\sqrt{3}[/tex]

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.

Now you can do the perimeter:

[tex]2l+2w\\2(12.124)+2(7)\\24.248+14\\38.25[/tex]

Your answer is the 38.2

Step-by-step explanation:

trial......I think all of them are greater than 256 if you multiply please rephrase the question it is confusing