10.) Lines 11 & 12 are parallel. Find the value of x.
10 points
Caranya
2x
O x= 32
x = 180
X = -20
X = -4

Answer: c

Step-by-step explanation:

Answer:

C. 75°

Step-by-step explanation:

Step 1:

70° + 35° + x = 180°    Sum of a Δ

Step 2:

105° + x = 180°       Combine Like Terms

Step 3:

x = 180° - 105°    Subtract

Answer:

x = 75°

Hope This Helps :)

Answer: h(x)=x³+5x²+8x-16

Step-by-step explanation:

In this problem, we are given f(x) and g(x). The problem asks to find h(x)=f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

h(x)=x²-9+x³+4x²+8x-7           [combine like terms]

h(x)=x³+5x²+8x-16

Now, we know that h(x)=x³+5x²+8x-16 after we have combined like terms.

Answer:

144.6°

Step-by-step explanation:

180-35.4

144.6°

Answer:

144.6

Step-by-step explanation:

Supplementary angles add to 180

Let x be the unknown angle

x + 35.4 = 180

Subtract 35.4 from each side

x = 180-35.4

x =144.6

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

Answer:

no lo se perdon

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes: 24 points/4 games = 6 points per game while 48 points/10 games = 24 points in 5 games.

Answer:

2

Step-by-step explanation:

slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]

You can take any two points from the given points, put them in this formula and answer will be 2.

For example:

Lets take (7,1) and (8,3)

Slope= [tex]\frac{3-1}{8-7}[/tex]

=2/1=2

Hope it will help :)

Answer:

SAS

Step-by-step explanation:

We know the bisector AB is congruent for both triangles, we know that angle ABD and ABC are both 90, and we know sgements BD and BC are congruent since it says the side length

Answer:

399

Step-by-step explanation:

Answer:

255 mL = .255 L

Step-by-step explanation:

820 cm = 8.2 m

Answer:

232.50

Step-by-step explanation:

46.50÷3=15.5

15.5 is your money per hour/s

15.5x15=232.50

Answer:

707.91 dollars.

Step-by-step explanation:

2000 divided by 3 = 666.66

666.66 + 41.25 = 707.91

Answer:

the correct answer is 680.42

Step-by-step explanation:

Answer:

C is definantly the correct one, none of the others will work :) I wish you luck on your work.

Step-by-step explanation:

<3

The box-and-whisker plot corresponds to this distribution is A.

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

We have, The distribution of the gas mileage of a fleet of cars.

From the data,

Minimum value = 28

lower quartile = 29

Median= 30

Upper quartile = 31

Maximum value = 32

Here the box plot represent the above parameters in box plot A.

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Answer:

0

Step-by-step explanation:

Look at the graph, for x because it is going right continously but it is going towards 0 on the y-axis.

Think of it this way it that line kept going rightward for infinite amounts what would the y value get close to? 0.

In given graph of function, When x → ∞, f(x)=0

Option D is correct.

From the given graph of function,

It is observed that, x- axis is the asymptote of the function.

Since, graph of function never intersect the x- axis.

When x → ∞, f(x)=0

Therefore, option D is correct.

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Answer:

c = -11

expression value = 245

c = 0

expression value = 3

c = 15

expression value = 453

Step-by-step explanation:

Given expression = [tex]2c^2 + 3[/tex]

for c = -11 , we put c in place of c in given expression

[tex]2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245[/tex]

for c= 0

[tex]2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3[/tex]

for c = 15

[tex]2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453[/tex]

Answer:

1. Coefficient

2. Variable

Compound interest is the interest that is compounded daily, weekly, monthly, annually e.t.c on a loan, investment, or an amount of money kept in a financial institution.

Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.​

The formula to find the amount compounded daily after 10 years is:

A = P(1 + r/n)nt

Where

P = Principal ( Initial amount) = $1000

R = Interest rate = 8%

n = Number of times interest is compounded = Daily = 365 days

t = Time in years = 10 years

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,000.00(1 + 0.08/365)^(365x10)

A = 1,000.00(1 + 0.000219178)^(3650)

A = $2,225.35

The interest for Amber is:

P (principal) = $1,000.00

A( Amount) = $2,225.35

I (interest) =  P - A

= $$2,225.35 - $1,000.00

= $1,225.35

The formula to find the amount compounded continuously after 10 years is:

A = Pe^rt

Where

P = Principal ( Initial amount) = $1000

R = Interest rate = 8%

n = Number of times interest is compounded = Continuously

t = Time in years = 10 years

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = Pe^rt

A = 1,000.00(2.71828)^(0.08)(10)

A = $2,225.54

The interest for Jin is:

P (principal) = $1,000.00

A( Amount) = $2,225.54

I (interest) =  P - A

= $$2,225.54 - $1,000.00

= $1,225.54

Comparing the interest for both Amber and Jin, we find the difference to know who earns more.

Jin's interest - Amber's interest

= $1,225.54 - $1,225.35

= $0.19

Jin earns more interest.

Therefore, Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.​

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Answer:

20, 50, 70, 110

Step-by-step explanation:

boys x simpsons: 20

girls x long ranger: 50

girls x simpsons: 70

total x sesame street: 110

have a great day :)

20 girls watch Long Ranger , 110 first graders watch Sesame Street , 20 boys watch Simpsons, and 70 girls watch Simpsons.

" Random sampling is a process of observing samples using such technique that each sample has equal probability."

According to the question,

As per the information of random samples given in the table,

Total number of boys are  = 100

Total number of girls = 200

For boys

Long Ranger + Sesame Street + Simpsons = 100

⇒  50 + 30 + Simpsons = 100

⇒ Number of boys view Simpsons = 100 - 80

                                                          = 20

In Long  ranger column,

50 Boys + ___girls = 100

⇒ Number of girls watching Long Ranger = 100 -50

                                                                   = 50

In Sesame street

30 boys + 80 girls = 110 Total viewers

Number of girls watching Simpsons = 90 -20

                                                            = 70

Hence, 20 girls watch Long Ranger , 110 total boys and girls watch Sesame Street , 20 boys watch Simpsons, and 70 girls watch Simpsons.

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Answer:

Number 4 has an exponent of 4.

Step-by-step explanation:

The ^ thingy is referring to an exponent. The number after that symbol is the exponent. Therefore, the last answer is the solution to this problem.

The expression which has a base with an exponent of 4 is [tex]3m^4[/tex]

Given two integers a and b, in indices form, we can write;

[tex]a^b[/tex] where:

a is the base

b is the exponent

From the given question, we are to find the expression has a base with an exponent of 4. From the given option;

Hence the expression which has a base with an exponent of 4 is

[tex]3m^4[/tex]

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Answer:

Answer:

A slope is corect

Step-by-step explanation:

Answer:

Slope

Step-by-step explanation:

Khan told me :)

Answer:

she washed 9 cars

Step-by-step explanation:

5×7 is 35

9×5 is 45

Answer:

You washed 9 cars

Step-by-step explanation:

35/7 is 5 and 45/5 is 9 therefore if you get $5 per car washed and you earn $45 you have washed 9 cars total

Answer:

Sure

Step-by-step explanation:

What is the question?

Answer:

true

Step-by-step explanation:

Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

In the two triangles, ΔACD and ΔBCD,

DC is the common side

∠ADC = ∠BDC = 90°

∠ACD = ∠BCD (Given)

Thus, the two triangles are congruent and the sides AD≅DB.

Hence, the statement is true.

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Answer:

x=3+ln(6)ln(4)

Step-by-step explanation:

Answer:

2x - 3 - (x-1)

2x - 3 -x +1

x-2

Answer:

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

I'm assuming you're dealing with degrees.

If that's the case, then I would first find the closest multiple of 360 to that number.

360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.

Now, just subtract 6480 from 6720 and you will get 240.

The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).

240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.

That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.

Now, just divide:

[tex]-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}[/tex]

Therefore, tan(6720 degrees) = [tex]\sqrt3[/tex]

Answer: A

Step-by-step explanation:

Car B was 10 miles east of car A.

The rate of change of position of an object in any direction is called speed.

[tex]speed = \frac{distance}{time}[/tex]

According to the given question

Speed of car A was 60 miles/hour.

⇒ After 2hours the distance covered by car A = 60 × 2 = 120 miles.

But it is given that car travelled total 130 miles.

So, the extra distance covered by the car = 130 - 120 = 10 miles.

From the graph we can say that the distance.

At, Time = 0

The distance travelled by car B is 20 miles.

Now, the extra distance covered by the car A w.r.t B = 20 - 10 = 10 miles

Since, both the cars were travelling in east direction.

Therefore, Car B was 10 miles east of car A.

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