Given PB tangent. PV,PU Secants. If m VU=70 degrees and m ST=30 degrees, then m angle 2=? 20,50,35

Perpendicular slopes multiply to -1, so are negative reciprocals.

-1 / -3 = 1/3

Answer: B.  1/3

Answer:

x ≥ 2

Step-by-step explanation:

21 ≤ 3 + 9x

21 - 3 ≤ 9x

18 ≤ 9x

18 ÷ 9 ≤ x

2 ≤ x

x ≥ 2

The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.

Used the concept of inequality which states that,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

The inequality is,

21 ≤ 3 + 9x

Now, simplify the inequality by combining like terms and solving for x,

21 ≤ 3 + 9x

Subtract 3 on both sides,

21 - 3 ≤ 9x

18 ≤ 9x

It can be written as,

9x ≥ 18

9x - 18 ≥ 0

Take 9 as common,

9 (x - 2) ≥ 0

x - 2 ≥ 0

Therefore, the solution of expression is,

x  ≥ 0

To learn more about inequality visit:

https://brainly.com/question/25944814

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Answer:

" Expected Payoff " - $ 12.30

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]

[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]

[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]

Answer:

196

Step-by-step explanation:

196 is the perfect square number, because its square root is 14.

[tex] \sqrt{196} = 14[/tex]

Answer:

Step-by-step explanation:

From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:

= $16/6

= $2.67

1 audio cassette will cost $2.67

The amount of money spent will depend on the number of audio cassettes. Therefore,

m = $2.67 × n

m = $2.67n

where n = number of audio cassette

The amount of money he'll pay for 9 cassette will be:

m = $2.67n

m = $2.67 × 9

m = $24.03

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

Answer:

4π

Step-by-step explanation:

find the circumference first

2π r

2π 8=16π

then find the arc length

16π  * 1/4

4π

Answer:

30pages

Step-by-step explanation:

20 is 2/3 so 10 is 1/3 so 3/3 is one book

Answer:

30 pages

Step-by-step explanation:

Answer:

12(2x-1)

Step-by-step explanation:

24x - 12

Factor out a 12 from each term

12*2x -12*1

12(2x-1)

Answer:

[tex]12(2x - 1)[/tex]

Step-by-step explanation:

[tex]24x - 12[/tex]

Factor out a 12 from each

[tex]24x - 12 \\ 12(2x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

20 meters

Step-by-step explanation:

The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!

Answer:

see below

Step-by-step explanation:

Take the number of people surveyed and multiply by 30 %

8 * 30%

Change to decimal form

8 * .3

2.4

About 2.4 will purchase online

Answer:

468

Step-by-step explanation:

Answer:

237

Step-by-step explanation:

This is written as 1+2+(3x78)

=3+234

=237

Answer:

[tex]\£8:\£32[/tex]

Step-by-step explanation:

[tex]\frac{40}{1+4}[/tex]

[tex]\frac{40}{5}[/tex]

[tex]=8[/tex]

[tex]1:4[/tex]

[tex]1 \times 8:4 \times 8[/tex]

[tex]8:32[/tex]

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= [tex]\frac{40}{5}[/tex]

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

Answer: 1575 grams or 1.575 kgs

Step-by-step explanation:

For 4 people = 450 g of minced beef

For 14 people,

(14 * 450) / 4 = 1575 gms

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 34

p = 34/200 = 0.17

q = 1 - 0.17 = 0.83

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.82 = 0.18

α/2 = 0.18/2 = 0.09

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.09 = 0.91

The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35

Therefore, the 82% confidence interval is

0.17 ± 1.35√(0.17)(0.83)/200

Confidence interval is 0.17 ± 0.036

Answer:

z  ∗  = 1.341

Step-by-step explanation:

Its right on khan academy

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]

Step-by-step explanation:

A temperature falls from 0 to  [tex]- 12\dfrac{1}{4}[/tex]     in     [tex]3\dfrac{1}{2} \ hours[/tex]

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  [tex]- 12\dfrac{1}{4}[/tex]  

The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]

[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]

[tex]\Delta T = -12.25[/tex]

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]

x° =  - 3.5

x° = [tex]- 3\dfrac{1}{2}[/tex]

Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]

Answer:

Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction

Step-by-step explanation:

A

Answer:

c) T(−1, 3) ° Rotation,180°

Step-by-step explanation:

Explanation:-

First we will apply transformation is

Rotation of 180°  then we will apply transformation is changes  

(x,y) to (-x ,-y)

a)

Given vertex T(  2 ,2 )

T( 2 ,2 )→ T( -2 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)

The new vertex is  T¹ ( -3 ,1)

b)

Given vertex U(  4 ,2 )

U( 4 ,2 )→ U( -4 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)

The new vertex is  U¹ ( -5 ,1)

c)

Given vertex R(  3 ,5 )

R( 3 ,5 )→ R( -3,-5)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)

The new vertex is  R¹ ( -4 ,-2)

d)

Given vertex S(  1 ,3 )

S( 1 ,3 )→ S( -1 ,-3)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

S( -1,-3) → S¹ ( -1 -1 ,-3 +3)

The new vertex is  S¹ ( -2,0)

Answer:

The equivalent fraction is:   [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

which agrees with the second answer in the list of options

Step-by-step explanation:

Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:  

[tex]5-\sqrt{10\,x}[/tex]

Therefore we have:

[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Then this is the equivalent rationalized expression:

[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Answer:

B.

Step-by-step explanation:

A P E X

Answer:

Try using estimation.

Make sure you don't start with the y-axis first.

I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.

Step-by-step explanation:

Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.

Answer: The answer is A

Step-by-step explanation:

Answer: 53 c

Step-by-step explanation:

If 8 oranges cost 60c

7 oranges will cost (7 x 0.60) / 8 = 0.53

This is a example since there is no topic:

Explanatory variable: Could be found on the x axis

Response variable: Could be found on the y axis

Four things need to talk about when you describe a scatter plot:

D.       Direction

O.        Outliers

F.        Form

S.       Strength

Example: The relationship between this graph is strong, positive and linear relationship. There does not appear not be outlines.

How to know if its positive: As the x axis increases so does y axis increases too.

How to know if the chart is linear:

Because it describe the scatter plot. DOFS.

Tell me if you need more help with a pacific thing.

Hope this helps.

Answer:

5 x 2.5 = 12.5

8 x 2.5 = 20

answer: 28

Answer:5 x 2.5 = 12.5

8 x 2.5 = 20

Step-by-step explanation:mark me as brainest plsssssssssssssssssss

Answer:

3. 2x + y = 21.

Step-by-step explanation:

3. The diagonals of a rhombus  are perpendicular and bisect each other.

So the slope of line AC  = -1/m

= -1 / 1/2 = -2.

AC has coordinates (5, 11) so using the point-slope form of a line:

y - 11 = -2(x - 5)

y = -2x + 10 + 11

2x + y = 21.

5.   Line L:

x + 2y = 12

2y = -x + 12

y = -1/2x + 6

The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.

Answer:

Step-by-step explanation:

The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify.  For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):

[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:

[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)

The above then simplifies to

[tex]-7x^2-2x+5[/tex]

The next one, after distributing the negative into the parenthesis:

[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):

[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to

[tex]7x^2+2x-5[/tex]

Now for the last one:

[tex]12x^2+6x-5-5x^2-8x+12[/tex] and

[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to

[tex]7x^2-2x+7[/tex]

Answer: x=-0.792

Step-by-step explanation:

For this problem, you want to get like terms onto one side, then solve for x.

[tex]\frac{1}{25}=5x+4[/tex]

[tex]-\frac{99}{25} =5x[/tex]

x=-0.792

Answer:

33

Step-by-step explanation:

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Answer:  56

Step-by-step explanation:

There are 8 pieces of fruit to choose from.

When you choose the next piece, there are only 7 pieces remaining to choose from.

First pick    and     Second pick

     8             x         7 remaining   =   56

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Answer:

A= 61

B=119

Step by step:

a; interior angle

180-(27+92)

=180(119)

=61

b; exterior angle

180-61

=119

Answer: 61 and 119

Step-by-step explanation: