a. Identify the relationship between the two
angles.
b. Write the equation used to represent the
relationship between the two angles.
c. Solve for the unknown variable.

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

Complete question is missing, so i have attached it.

Answer:

Yes, they are all correct

Step-by-step explanation:

From the attached image, we see that the sign is showing;

Parking lot: ¾ miles

Summit: 1½ miles

Summit distance can also be expressed as an improper fraction = 3/2 miles

Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.

Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles

Now, let's analyze each of their statements;

Mai said they are a third of their way there.

They had covered 3/4 mile and the total distance is 9/4 miles.

Thus, fraction of total distance covered is;

9/4 ÷ 3/4 = 1/3.

So, Mai is correct

Clare said they have to go twice as far as they had already gone.

They had covered 3/4 miles.

Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.

Thus, Clare is correct

Tyler said that the total hike is three times as long as what we have already gone.

They had gone 3/4 miles

3 times this = 3 × 3/4 = 9/4 miles.

This tallies with the total distance calculated earlier.

Thus, they are all correct

Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

Answer:

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg

The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Answer:

$6.40

^w^ -ash

Answer:

2

Step-by-step explanation:

Imagine you have 1 cookie, and then you have another cookie.

1 cookie and then another cookie is 2 cookies.

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

Answer:

[tex]a^{2}(24a^{2}+36a+12)[/tex]

Step-by-step explanation:

Area of rectangle= Length*Width

so [tex](6a^{2}+9a+3)*4a^{2}[/tex]   multiply each coefficient of a times 4a^2

[tex]24a^{4}+36a^{3}+12a^{2}[/tex]  then take a^2 common factor so it will be

[tex]a^{2}(24a^{2}+36a+12)[/tex]=area

Answer:

n3+5n=6

taking common as n

n(5+3)=6

n8=6

Answer:

24 dollars

Step-by-step explanation:

each pound is $1.60 and 15 times $1.60 equals 24

Answer:

$24

Step-by-step explanation:

5/8=15/x

cross product

8*15=5*x

120=5x

x=120/5

x=24

Answer: D

Step-by-step explanation:

First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.

hope this helps :)

From the question,

Rohan bought an almirah for =Rs.13600= cost price

Transportation cost =Rs.400

The total cost price of almirah =Rs.(13600+400)

The total cost price of almirah =Rs.(13600+400)=Rs.14000

He sold it for =Rs.16800= selling price

By comparing SP and CP=SP>CP, so there is a gain

Gain=SP−CP

=16800−14000

=Rs.2800

Gain %={(gain/CP)×100}

={(2800/14000)×100}

={2800/140}

=20%

Answer:

6 pencils

Step-by-step explanation:

30/5=6

Answer:

iii. (l + m - n)(l - m + n)

vi. (5a -b) ( 5b - a)

Step-by-step explanation:

iii. l² - (m - n)²

= (l + m - n)(l - m + n)

vi. 4(a+b)² - 9(a-b)²

= (2(a+b))² - (3(a-b))²

= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))

= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)

= (5a -b) ( 5b - a)

Q. 1) l²- (m - n)²

=(l - m + n)(l + m - n)

Q.2) 4(a+b)²- 9(a-b)²

= [(2(a+b))²- (3(a-b))²]

=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]

=[2a+2b+3a-3b][2a+2b-3a+3b]

=[5a-b][5b-a] ]

Answer:

Option A is your answer ☺️☺️☺️

Answer:

0.0144

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

Answer:

2/10 or 1/5

Step-by-step explanation:

There are a total of 10 ducks, and only 2 have green dots.

So the probability would be 2 / 10, which simplifies to 1 / 5.

Greatest common factor of 2 and 10: 2

So: 2 ÷ 2 = 1

10 ÷ 2 = 5

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

Answer:

6/8,

12/16,

24/32

48/64

96/128

192/256

384/512

Step-by-step explanation:

Answer: hi

Step-by-step explanation:

Answer:

-5 and 15

Step-by-step explanation:

10±5 = -5, 15

Answer:

is two more than the row before

Step-by-step explanation:

i hope i help\

Answer:

ASAP meaning as soon as possible

Answer:

y=  1.4x + 7

Step-by-step explanation:

y= mx + b

m = rise over run = 7/5 = 1.4

the y intercept is 7, this is our b

Answer:

$63

Step-by-step explanation:

Answer:

$63

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once

Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.

Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.

Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.

Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.

Learn more about probability here: https://brainly.com/question/24756209

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