What is the comparison test exactly? And how would you use the comparison test to do this problem?

Answer:

Both the given angles are Vertically opposite and hence equal

So,

5d + 7 = 6d - 4

7 + 4 = 6d -5d

11 = d

Answer:

It's B and C

Step-by-step explanation:

I have this same question on Khan Academy, and it is B. 6⋅sin(35°) and C. 6⋅cos(55°)

The solution to the problem can be solved using trigonometric functions.

[tex]\rm{Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The value of BC = 6 Cos(55°) =  6 Sin(35°).

Cosine Function

[tex]\rm{ Cos(\angle C) = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\rm{ Cos(55^o) = \dfrac{BC}{AC}[/tex]

[tex]\rm{ Cos(55^o) = \dfrac{BC}{6}[/tex]

[tex]{BC}={6}\ Cos(55^o)[/tex]

Sine Function

[tex]\rm{ Sin(\angle A) = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\rm{ Sin(35^o) = \dfrac{BC}{AC}[/tex]

[tex]\rm{ Sin(35^o) = \dfrac{BC}{6}[/tex]

[tex]{BC}={6}\ Sin(35^o)[/tex]

Hence, the value of BC = 6 Cos(55°) =  6 Sin(35°).

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Hope this helps 2,4,5

Answer:

Step-by-step explanation:

The slope formula is M=y2-y1

                                   ______

                                        X2-X1

Ex. (-1,1) and (1,-2)

      x1,y1       x2,y2

-2+1        -3

_____= ____  

1+(+1)        2

Graph:

Any linear function can be quickly graphed using the form: y=mx+b

X: independent variable

y: dependent variable

M: slope

b: y-intercept

(When you don't have a denominator for M put a 1 Ex. 4--> 4/1)  

Ex. y=-1/2x + 4

M= 1/2

B: 4

Rise/Run = -1/2     "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Answer:

You use 25 gallons of water in a 10-minute shower.

Step-by-step explanation:

Answer:

188 cm^2.

Step-by-step explanation:

This consists of 3 pairs of rectangles

= 2 * 4*7 + 2 * 4*6 + 2 * 6*7

=  56 + 48 + 84

=  188.

Answer:

10.81665

Step-by-step explanation:

In order to solve this we can use pythagorean theorem, or [tex]a^{2} + b^{2} = c^{2}[/tex]

C represents the hypotenuse and a and b represent the two other sides.

We have the hypotenuse, 21 feet. We also have a side, 18 feet. We can plug these in and solve for a.

[tex]a^{2} + 18^{2} = 21^{2}[/tex]

[tex]a^{2} + 324 = 441[/tex]

Subtract 324 from both sides.

[tex]a^{2} =117[/tex]

Square root both side to remove the square.

[tex]\sqrt{a^{2} } =\sqrt{117}[/tex]

[tex]a=10.81665[/tex]

Hope this helps!

This  question is based on the Pythagorean theorem.  Therefore, 10.81665 feet  far from the base of the mast should he attach the end of the light string.

Given:

Randy wants to attach a 21 foot string of lights to the top of the 18 foot mast of his sailboat.

We need to determined the base of the mast should he attach the end of the light string.

According to the question,

By using Pythagorean theorem,

[tex]a^2 + b^2 = c^2[/tex]

Here, it is given that, b = 18 and c = 21.

Putting this value in above formula.

We get,

[tex]a^2 + 18^2 = 21^2[/tex]

[tex]a^2 = 441 - 324\\\\a^2 = 117[/tex]

Square root both sides. We get,

[tex]\sqrt{a^2} = \sqrt{117}[/tex]

a = 10.81665.

Therefore, 10.81665 feet  far from the base of the mast should he attach the end of the light string.

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Answer:

$18.6 interest

Step-by-step explanation:

3% of 620=

(3x620)/100=18.6

Answer:

$18.60

Step-by-step explanation:

3% = 0.03

Answer: $18.60

If requested total:

Answer: $638.6

Answer:

Pull out like factors

  5v - 40  =   5 • (v - 8)

v-8 = 0

add 8 to both sides

v = 8

Step-by-step explanation:

Answer:30

Step-by-step explanation:

PEMDAS (Parentheses, exponents, multiply or divide, add or subtract)

Multiply first. 4x3=12.

Then add. 18+12=30

Answer:

21

Step-by-step explanation:

You need to use the rule that they gave you (1.5t+3). Since t represents the time in weeks, replace t with 12. Now multiply. 1.5x12=18. 18+3=21

Answer:

the answer to this question is that 30 points is all that I need

Answer:

Step-by-step explanation:

The two interior angles on the left that are not connected to A add up to A.

80 + 60 = 140

The other way to do this is to realize that A and 40 are supplementary (they add up to 180).

40 + A = 180         Subtract 40 from both sides

A = 180 - 40

A = 140

Answer:

$251550.02  total

Answer:

6x-3

Step-by-step explanation:

The required number, which is 3 less than 6 time of number n is 6n-3.

An algebraic expression is consists of variables, numbers with various mathematical operations,

Let the number is n,

According to given conditions,

To determine the number, which is 6 times of the number and 3 less,

Use expression form,

The required number can be written as,

3n-6

The required number is 3n-6.

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Answer:

12.03%

Step-by-step explanation:

The z score i used to measure by how many standard deviations the raw score is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard \ deviation,x=raw\ score[/tex]

a) For variety A, the mean = μ = 90, standard deviation = σ = 8

For x = 100 grams:

[tex]z=\frac{x-\mu}{\sigma} =\frac{100-90}{9} =1.11[/tex]

For x = 110 grams:

[tex]z=\frac{x-\mu}{\sigma} =\frac{110-90}{9} =2.22[/tex]

From the normal distribution table, P(100 < X < 110) = P(1.11 < z < 2.22) = P(z < 2.22) - P(z < 1.11) = 0.9868 - 0.8665 = 0.1203 = 12.03%

Answer:

platform

Step-by-step explanation:

analysis by other states has shown the same name

The area of the shaded sector is 64.1 centimetres squared.

The area of a sector can be represented as follows:

area of a sector = ∅ / 360 × πr²

where

Therefore, the central angle is equals to the arc angle.

∅ = 150 degrees

r = 7 cm

area of the shaded sector = 150 / 360 × 3.14 × 7²

area of the shaded sector = 150 / 360 × 3.14 × 49

area of the shaded sector = 23079 / 360

area of the shaded sector = 64.1083333333

area of the shaded sector = 64.1 cm³

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The measure of the sector shaded is 64.1 cm²

The sector of a circle is the part enclosed by two radii and the included arc of a circle.

The area of a sector is given by the formula:

A = θ/360 * πr²

where r is the radius of the circle and  θ is angle subtended by the sector

In this case, we have:

θ = 150° and r = 7 cm

A = θ/360 * πr²

A = 150/360 * 3.14 * 7²

A = 64.1 cm²

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Answer:

Answer 3 I believe I'm not totally sure sorry but I'm 76% sure it is 3.

Answer:

-49 is the product of -7 and 7

Answer:

-49

Step-by-step explanation:

-7 x 7 = -49

negative and negative = positive

negative and positive = negative

Answer:

point

Step-by-step explanation:

Answer:

for 2nd figure answer is 18

Step-by-step explanation:

4x+6x=180°(Being co-interior angle)

or,10x=180°

or,x=180°/10

or,x=18

Answer:

image 1 ---- x = 11

image 2 ---- x = 22.5

Step-by-step explanation:

finding the value at EFB

180 - 147  = 33 degrees

since DEBC is a "Z" angle means that the value at DEB and EBC is the same value of 4x.

therefore :

FEB = 180 - 4x

therefore to find x

NB : total value of triangle is 180 degrees

180 = 33 + (180-4x) +x

180 = 33 + 180 -4x + x

180 = 213 -3x

make x the subject of formula

180-213 = -3x

-33 = -3x

x = -33/-3

x = 11

DEA = BAE

therefore BAE = 2x

DEB = 180 - 4x

ABE = 180 - 6x

NB : total value of triangle is 180 degrees

180 = 2x + (180- 4x) + (180 - 6x)

180 = 2x + 180 - 4x +180 - 6x

180 = -8x + 360

-180 = -8x

x = 22.5

Answer:

-1

Step-by-step explanation:

Took the assignment! :)

The equation of the line MN is y = -x + 2.

The slope is -1.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the slope of the line MN, we can use the formula:

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

where[tex](x_1, y_1) = (-3, 5)[/tex] is the coordinate of point M, and [tex](x_2, y_2) = (2, 0)[/tex] is the coordinate of point N.

Now,

m = (0 - 5) / (2 - (-3))

m = -5 / 5

m = -1

So the slope of the line MN is -1.

Now that we know the slope, we can use the point-slope form of the equation of a line:

[tex]y - y_1 = m(x - x_1)[/tex]

where m = -1 is the slope we just found and [tex](x_1, y_1) = (-3, 5)[/tex] is one of the points on the line.

Plugging in the values, we get:

y - 5 = -1(x - (-3))

y - 5 = -x - 3

y = -x + 2

Therefore,

The equation of the line MN is y = -x + 2.

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Answer: all are congruent, sorry, don't completely remember this but I tried

Step-by-step explanation:

Answer: (-∞,-4)

Step-by-step explanation: I had the same question on my test hope it helps!

Answer:

x=9 when g(x) = 3

Step-by-step explanation:

We want to find the x values when the y value is 3

Following the line y =3  There is only one point on the blue graph where y is 3

That is when x=9

Answer:

x = 9

Step-by-step explanation:

We are asked to find for what input values does g(x) = 3.

What this question is really asking is for what value of x is the equation g(x) equal to 3. In other words, for what value of x does y = 3.

From looking at the graph, we can see that y = 3 when x = 9. Therefore, x = 9 is our answer.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

x = 4

EFH = 21°

EFG = 83°

Step-by-step explanation:

EFH + HFG = EFG

(5x + 1) + 62 = (18x + 11)

solve for x:

62 = (18x + 11) - (5x + 1)

62 = 13x + 10

62 - 10 = 13x

52 = 13x

x = 52/13 = 4

Answer:

its C

Step-by-step explanation:

This question is not complete, the complete question is;

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. Round your answers to two decimal places.

a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations

b. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Answer:

a) 0.04

b) 0.69

Step-by-step explanation:    

Given that

P ( No response ) = 5% = 0.05

P ( Short of expectation ) = 26 = 0.26

P ( Met expectation ) = 65% = 0.65

a)  the probability that the alumnus would say their experience surpassed expectations

P ( surpassed expectations) = 1 -  (P(No resp )+P( Short of exp)+ P( Met exp))

= 1 - (0.05 + 0.26 + 0.65 )

= 1 - 0.96

= 0.04

b) the probability that the alumnus would say their experience met or surpassed expectations.

the probability that  experience met or surpassed expectations is;

= P (met exp) + P ( surpassed exp)

= 0.65 + 0.04

= 0.69