Two angles are supplementary (meaning they add up to 180 ° ). The ratio of the relationship of the measure of Angle A to the measure of Angle B is 3:4. What are the measure of both angles?

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6

Answer:

two hours after the snow started melting, the depth of the snow would be 8 inches.

Step-by-step explanation:

The melting can be represented by a linear function of the snow depth (D(t)) as a function of time (t). We consider that the initial value is: 11 inches deep at time = 0 (zero). and then decreasing at a rate of 1.5 inches per hour (that is a negative slope = -1.5).

[tex]D(t)=11-1.5\,t[/tex]

Therefore, 2 hours after the snow started melting, one would have:

[tex]D(2)=11-1.5\,(2)=11-3=8\,\,inches[/tex]

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer: I think it's 2

Step-by-step explanation: i am not dat good at math

Answer:

Additive inverse = -3/2

Multiplicative inverse = 2/3

Step-by-step explanation:

To find Additive inverse, just change the sign.

Additive inverse of 3/2 = -3/2

If we add  a number and its additive inverse, we will obtain 0.

Multiplicative inverse of number a is 1/a and multiplicative inverse of a fraction  a/b is b/a.

When we multiply a number & its inverse, we will get 1

Multiplicative inverse of 3/2 = 2/3

Answer:

8

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, 6 ), thus

y = a(x + 4)² + 6

To find a substitute (- 3, 14) into the equation

14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )

8 = a

Thus the coefficient of the x² term is a = 8

Answer:

P(AB) = 837/9100

Step-by-step explanation:

The given parameters are;

The number of marbles in the bag = 100 marbles

The number of red marbles = 27

The number of green marbles = 42

The number of blue marbles = 100 - 27 - 42 =  31

The probability, A of drawing a blue marble = 31/100

The probability,B of drawing a red marble after a blue marble has been taken without replacement = 27/91

The probability P(AB) = 31/100× 27/91 = 837/9100

The probability that Eric randomly draws two marbles without replacing the first one where the first one is a blue marble and the second marble is a red marble is 837/9100.

Answer:

96

Step-by-step explanation:

Simply multiply all the numbers together.

4 * 3 = 12

12 * 8 = 96

There are 96 possible combinations.

If this helped, please mark brainliest :D

Answer: 12 poles and 16 helmets

Step-by-step explanation:

3+4 =8

-4= -4

1.7

Answer:

28.8 units

Step-by-step explanation:

In order to further explain the description of the right angled triangle ABC above, I have attached a hand drawn diagram for easier understanding.

The length of A D is 5 units

The length of B D is 12 units.

From the above triangle ABC, to solve for BC we have the following ratios.

BD : BC = AD : BD

Hence,

BD/ BC = AD/BD

= 12/BC = 5/12

Cross Multiply

12× 12 = BC × 5

BC = 12 × 12/ 5

BC = 144/5

BC = 28.8 units

Therefore, the length of Line segment B C, rounded to the nearest tenth is 28.8 units

Answer:

c.31.2

Step-by-step explanation:

Answer:

The quotient is 4x-20/x+5

Step-by-step explanation:

The quotient is simply the result of the division

Through factorization, can express x^2 -25 as (x-5)(x+5)

Also x^2 + 10x + 25 as (x+5)(x+5)

and lastly 4x-44 as 4(x-11)

Now when we divide, the numerator of the second fraction will come down while the denominator goes up;

So we have ;

x^-25/x-11 * 4x-44/x^2 + 10x + 25

Now, making use of the factorizations, we have ;

(x-5)(x+5)/(x-11) * 4(x-11)/(x+5)(x+5)

Canceling out like factors, we have

= 4(x-5)/(x+5)

Answer:

Step-by-step explanation:

985 = 5 * 197 = 1 * 5 * 197

The product of the divisors is 985

The sum is 203

Answer:

$15+x

x in dollars

Step-by-step explanation:

Subscription per month=$15

Cost of each downloaded song per month=$15 + 1

If x number of songs are downloaded in a month

The cost of downloading x songs= $15 + x

Where,

$15 = fixed cost ( subscription)

x= variable cost( each unit of songs downloaded)

If 20 songs are downloaded in a month.

The cost of downloading the 20 songs

=$15+$20

=$35

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

Answer:

Hey there!

-9x-y=-15

9x+y=15

A solution with integer values would be 9(1)+6=15

Thus, x=1 and y=6

(1, 6)

Hope this helps :)

Answer:

(6,1)

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

use Pythagorean theorem

a^2 + b^2 = c^2

15^2 + 6^

225 + 36 = 261

take the sq root of 261

Answer:

x=4

Step-by-step explanation:

5^2X=10^2X
25X=10X

2X=100/25

The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.

We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.

Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.

To obtain how many times one box is relative to the other we have to equate their respective volumes.

Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.

∴ 5×5×h₁ = 10×10×h₂.

25h₁ = 100h₂.

h₁ = 4h₂.

So, h₁ is 4 times taller than h₂.

learn more about cuboid here :

https://brainly.com/question/19754639

#SPJ2

Answer:

It's A, the bartender

Step-by-step explanation:

convert 5.6 cm = 56 mm squared

Answer: 560 mm²

Step-by-step explanation:

Note that 1 cm = 10  mm

Given: 5.6 cm²

          = 5.6 cm· cm

           [tex]=5.6\ cm \cdot cm\times \dfrac{10\ mm}{1\ cm}\times \dfrac{10\ mm}{1\ cm}\quad[/tex]

           [tex]=560\ mm\cdot mm\\[/tex]

           [tex]=\large\boxed{560\ mm^2}[/tex]

Answer:

Option (4) and Option (5)

Step-by-step explanation:

By calculating the second difference, if the second difference in a table is equal, table will represent the quadratic relationship.

In the given option, we analyze that table given in Option (4) will represent the quadratic relationship.

x             y             Ist difference [tex](y_2-y_1)[/tex]         IInd difference

0            4                      -                                             -

1            -4             -4 - (4) = -8                                     -    

2           -4             -4 - (-4) = 0                              0 - (-8) = 8

3            4              4 - (-4) = 8                                  8 - 0 = 8

Second difference of the terms in y are the same as 8.

Therefore, table of Option (4) represents the quadratic relationship.

Similarly, in Option (5) we will calculate the second difference of y terms.

x            y            Ist difference     IInd difference

0          -4                    -                            -

1           -8             -8 - (-4) = -4                 -

2          -10           -10 - (-8) = -2        -2 - (-4) = 2      

3          -10           -10 - (-10) = 0        0 - (-2) = 2

Here the second difference is same as 2.

Therefore, table of Option (5) will represent the quadratic relationship.

Answer:

Option 5 is wrong

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

2 sin square( 45°-A)

(therefore;

by trigonometry ratios

sin45°=1)

=2sin2(1-A)

=2sin(1-A)

=1+sin2A

hence proved

I HOPE THIS WILL HELP YOU

If yes mark me brainliest and follow me..

Tysm

Answer:

x = 4

Step-by-step explanation:

Given

4.5x = 18 ( divide both sides by 4.5 )

x = 4

Answer:

x=4

Step-by-step explanation:

to isolate x, we need to divide both sides by 4.5, and 18/4.5 is equal to 4, so x=4.

Answer:

y=3x+1

Step-by-step explanation:

perpendicular lines=their gradient multiply to produce -1 thus:

(line 1) y= -⅓x+1. gradient is. -⅓x

(line 2) gradient = 3

y=mx+c

3=y-7

x-2

multiply both sides by x-2 to remove the denominator.

3(x-2)=y-7

3x-6=y-7

collect the like terms to remain with y in one is side

3x-6+7=y

3x+1=y

y=3x+1

Answer:

210

Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.

Step-by-step explanation:

Hello,

This question can easily be solved through the use of a venn diagram.

Total number of students = 55

Number of medals in sport = 40 = A

Number of medals in dance = 25 = B

Number of medals in music = 212 = C

Number of students that got award in the three categories = (AnBnC) = 6

n(AuBuC) = 55

n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =

n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)

n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Therefore,

n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)

n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18

40 + 25 + 212 + 6 - 55 - 18 = 210

Note: this answer might be incorrect because of the value of C (music)

Answer:

6 papers

Step-by-step explanation:

5 minutes = 5 * 60 = 300 seconds

He needs to save 30 seconds

300 - 30 = 270 seconds

270 seconds / 42.5 seconds per paper

6.352941176 papers

Rounding down since he want to completely grade the paper

6 papers

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]f(x)=-x^2+6x+1[/tex]

x coordinate:

[tex]\frac{-b}{2a}[/tex]

[tex]a=-1\\b=6[/tex]

[tex]\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3[/tex]

y-coordinate:

[tex]f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

[tex](2x+3)(2x+3)[/tex]

Step-by-step explanation:

The given expression is

[tex]4x^2+12x+9[/tex]

Here, a=4, b=12, c=9.

Step 1: Multiply [tex]a\cdot c=4\cdot 9=36[/tex]

Step 2: Find the factors of ac that add to b.[tex]6\cdot 6=36[/tex] and [tex]6+6=12=b[/tex] So, two factors of ac are 6 and 6.

Step 3:[tex]4x^2+6x+6x+9[/tex]

Step 4:[tex](4x^2+6x)+(6x+9)[/tex]

Step 5:[tex]2x(2x+3)+3(2x+3)[/tex]

Step 6:[tex](2x+3)(2x+3)[/tex]

Therefore, the required factor form is [tex](2x+3)(2x+3)[/tex]. It can also written as [tex](2x+3)^2[/tex].

Answer:

x -y =4

Step-by-step explanation:

First find the slope

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

   = (1- -4)/(5 - 0)

    = (1+4)/(5-0)

   5/5

   = 1

Then we can use slope intercept form

The slope is 1 and the y intercept is -4

y = mx+b

y = 1x-4

We want it in standard form

Ax + By = C where A is a positive integer

Subtract x from each side

-x +y = -4

Multiply by -1

x -y =4

Answer:

x -y =4

Step-by-step explanation:

Answer:

glide reflection

Step-by-step explanation:

I hope this helps

7x - 14 = 4x + 19

7x - 4x = 14 + 19

3x = 33

x = 11

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

[tex]\beta=10\log (\dfrac{I}{I_o})[/tex]

I is intensity of the sound of a ticking clock

[tex]I_o=10^{-12}\[/tex] watts per square meter

Since, [tex]1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2[/tex]

The intensity of a monster truck is converted into per square meter as follows:  

[tex]10^{-9}\ {W/in^2}= \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2[/tex]

So, Decibal level is :

[tex]\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB[/tex]

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

Answer:

30dB

Step-by-step explanation: