Mark the statements that are true.
A. An angle that measures
radians also measures 30°.
pi/6
O B. An angle that measures pi/3
radians also measures 45°

O C. An angle that measures 180° also measures pi radians.
D. An angle that measures 30° also measures pi/radians.
​

Answer:

The value of AB is 9/2 or 4.5

Answer:

4.5 cm

Step-by-step explanation:

The total area is the sum of areas of two rectangles:

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

Answer:

second payment from the left

Step-by-step explanation:

A car loan should decrease as time passes when you make regular payments

This should be the second payment from the left

Answer:

32•z^4•s^7

20w^9

Step-by-step explanation:

We simply use the multiplication law of indices to work these out.

1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7

2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9

Answer:

It's rational number

Step-by-step explanation:

Natural numbers  are the positive integers also known as whole numbers.

Answer:

Figure A and B are still congruent to each other. the only change is the size of the shape.

Step-by-step explanation:

Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Suppose figure A underwent a dilation to produce figure B.

Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

Learn more about the triangle visit;

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Answer:

the answer is

Step-by-step explanation:

if we take a and b as two pupil to share the money,then a gets

$15 and b gets $75

sum of the ratio is=6

a =1/6×$90

=$15

b=5/6×$90

=$75

y is ⅓ of x

ratio of x to y is 3:1

x=¾

y=¼

¼÷¾=⅓

that means y is ⅓ of x

to confirm the answer.when you take¾×⅓=¼.

Answer:

Its B

Step-by-step explanation:

Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.

Answer:

x = -2,-3

Step-by-step explanation:

Solve the equation by factorizing.

To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.

This one is obvious, but for others you may use trial and error.

After finding the 2 numbers: 2 and 3.

Present them in this format:

(x+3) ( x+2) = 0

You may check if this is correct using the distribution method.

After this,

you have to solve it individually.

for example:

x+3 = 0

x = -3

x+2 = 0

x = -2.

Thus, x has 2 different values: -3, -2.

You may check this by substituting x with either of these values.

Please mark brainiest

Answer:

Yes.

Step-by-step explanation:

Because the terms inside the parentheses are fully simplified, we can just add up the terms:

(5x - 6) + (x + 2) =

5x - 6 + x + 2 =

5x + x - 6 + 2  =

6x - 4

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

Answer:

n = 1 2/5

Step-by-step explanation:

-21 + 70n = 77

Add 21 to each side

-21+21 + 70n = 77 +21

70n = 98

Divide each side by 70

70n/70 = 98/70

n =98/70

n = 70/70 +28/70

n = 1 + 2/5

n = 1 2/5

Answer:

This would also be known as 7/5

Step-by-step explanation:

The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!

Answer:

create a graph

Step-by-step explanation:

you have to make a line on the graph using the function

Answer:

15

17

Step-by-step explanation:

x/5=3 ⇒ x=5*3=15

x/2=8.5 ⇒ x= 2*8.5=17

[tex]\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}[/tex]

Answer:

B. x + 0.2x

Step-by-step explanation:

0.2 is equal to 20%

x represents the amount of dollars, and 20% of x would be written as 0.2x.

The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.

Answer:

Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!

Step-by-step explanation:

Answer:

-60% decrease

Step-by-step explanation:

60 is the old value and 24 is the new value.

percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%

so for this problem, you can substitute the values given in the formula:

percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =

-60% (decrease)  

Answer: 9/10

Step-by-step explanation:

Total cards are 20

Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10

Answer:

Brainliest here! >:D

Step-by-step explanation:

the is a total of 20 cards

2 of them of red

so 18 of the 20 (18/20) is not red

so the probability theroticatily is 9/10 or 90%

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

Explanation:

We have

f(-5) = 0 and f(2) = 4

This means the two points (-5,0) and (2,4) are on this line

----------

Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 0)/(2 - (-5))

m = (4 - 0)/(2 + 5)

m = 4/7 is the slope

----------

Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.

y - y1 = m(x - x1)

y - 0 = (4/7)(x - (-5))

y = (4/7)(x + 5)

y = (4/7)x + (4/7)*5

y = (4/7)x + 20/7

f(x) = (4/7)x + 20/7

This linear equation has a slope of 4/7 and a y intercept of 20/7.

The equation for f ( x ) would be; f(x) = (4/7)x + 20/7

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

We are given f(-5) = 0 and f(2) = 4

This means the two points (-5,0) and (2,4) are on this line

To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 0)/(2 - (-5))

m = (4 - 0)/(2 + 5)

m = 4/7 is the slope

Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;

y - y1 = m(x - x1)

y - 0 = (4/7)(x - (-5))

y = (4/7)(x + 5)

y = (4/7)x + (4/7)*5

y = (4/7)x + 20/7

f(x) = (4/7)x + 20/7

The linear equation has a slope of 4/7 and a y intercept of 20/7.

Learn more about slope here:

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Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

Answer:

The answer is B

Answer:

40.6 degrees

Step-by-step explanation:

We know:

KL = 6

JK = 7

Angle L = 90 degrees

So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :

[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]

We can find angle K with the following equation:

[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]

Answer:

31

Step-by-step explanation:

\cos K = Adj/Hyp = 6/7

cosK=  7/ 6

K=\cos^{-1}(6/7)

K=cos  −1  (  6/7  )

K=31.0027≈31  

Answer:

So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60

So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a

Then we do recipricol. 2/sin(105) = a/sin(60)

multiply by sin(60) both sides.

2sin(60)/sin(105) = a

round and solve and we get a is equal to

1.7931 or 1.8

Answer: x=-46

Step-by-step explanation:

Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):

4(-8x+5)-(-33x-26)=0

-32x+20+33x+26=0

1x+46=0

x=-46

Hope that helps!

Answer:

x+46

Step-by-step explanation:

I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.

Hope this helped!

Answer:

A ratio is when 2 values that come from related things are compared in the form of x:y

Answer:

comparison between things

Step-by-step explanation:

for example:

16 girls and 8 boys in a class room

the ratio would be 2:1 (girls:boys)

Answer:

C.) 6y-8

Step-by-step explanation:

8y-2(y+4)

8y-2y-8

6y-8

So answer is C

Answer:

Option C

Step-by-step explanation:

[tex]8y-2(y+4)\\\\\text{Distribute:}\left \{ {{-2*y=-2y} \atop {-2*4=-8}} \right. \\8y-2y-8\\\text {Combine like terms:}\\8y-2y=6y\\\text {We are left with:}\\\boxed {6y-8}\\\text {This is the simplest form of the equation. Option C should be the correct answer.}[/tex]

Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720