In the accompanying diagram, transversal EF intersects parallel lines AB and CD at G and H, respectively. If m∠EGB = 2x + 40 and m∠FHC = 3x - 10, what is the value of x

Step-by-step explanation:

B and A are equal. :) hope I helped!

Answer:

b. 30/45 = 10/15; reduce by 3

Step-by-step explanation:

a. 30/6 = 5 not 6 so no

c. 32/8 = 4. even if you reduced by 2, it would be 16/4 so no

Answer: There are 2 1/4 groups of 1/3 inch in 3/4 inch.

Step-by-step explanation:

1. Find a common denominator. 3 and 4 are both multiples of 12, so 12 would be the common denominator.

2. Convert each fraction to have the common denominator of 12.

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

3. Divide using the keep, change, flip method.

9/12 * 12/4 = 108/48

108/48 = 2 1/4

Answer:

she now has $165 in her savings account

Answer:

$165

Step-by-step explanation:

125+25=150

150-15=135

135+30=165

Answer:

No

Step-by-step explanation:

Given

f(x) = [tex]\sqrt{x-10}[/tex] + 11 ← substitute x = 1

f(1) = [tex]\sqrt{1-10}[/tex] + 11

     = [tex]\sqrt{-9}[/tex] + 11

[tex]\sqrt{-9}[/tex]  is not real and therefore x = 1 does not have a real output for f(x)

Answer:

[tex]\dfrac{25}{216}[/tex]

Step-by-step explanation:

From the given information:

The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]

The probability of not winning a bottle cap will be (q) = 1 - p

[tex]= 1- \dfrac{1}{6}[/tex]

[tex]= \dfrac{5}{6}[/tex]

Since we are told that the winning is placed once on every sixth bottle

Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)

[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]

[tex]= \dfrac{25}{216}[/tex]

Answer:

Option B: 1.3 hours is the correct answer.

Step-by-step explanation:

Given that:

Total distance = 140 miles

Speed on city roads = 35 miles per hour

Time travelled = 1.5 hours

Distance covered on city roads:

[tex]Distance = Speed * Time\\Distance = 35 * 1.5\\Distance = 52.5 miles[/tex]

Distance travelled on highway = Total distance - Distance on city roads

Distance travelled on highway = 140 - 52.5 = 87.5 miles

Speed on highway = 65 miles per hour

Time = [tex]\frac{Distance}{Speed}[/tex]

[tex]Time =\frac{87.5}{65}\\Time = 1.3\ hours[/tex]

Hence,

Option B: 1.3 hours is the correct answer.

Answer:

-60

Step-by-step explanation:

absolute value cancels the negative

then the negative outside the absolute value makes it negative.

Answer:

A hummingbird eggs mass is approximately 0.374 mg.

Answer:

Hummingbird Nesting Habits. First of all, we must remember that there are about 17 species of hummingbirds found in the US and not all of these different species have the same nesting habits. The most prominent difference lies in their choice of location for the nest (but more on this later), nevertheless there is not much difference in the way they build their nests and tend to their young.

Step-by-step explanation:

give all credit to my brain

Answer:

$15.23

Step-by-step explanation:

1/18 would be your answer because 3 * 6 = 18. so 18 is your denominator. 1 * 1 is still 1  so that would be your numerator. You cant simplify the numerator because it's a one and can't be simplified by any other number but 18 can be simplified but it wouldn't make sense to just simplify the denominator and not the numerator so It would stay as 1/18.

Answer:

ifhofgoefouegf

Step-by-step explanation:

Answers (there are two solutions):

I hope this helps!

Answer:

n = - 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )

- 5 < n ≤ 2

Thus  n ≠ - 5 but n can equal the upper limit of 2

Hence

n = - 4, - 3, - 2, - 1, 0 , 1, 2

Answer:

The random variables which has a distribution that can be approximated by a binomial distribution is:

c. The number of students in the sample who scored above average on the SAT.

Step-by-step explanation:

The binomial distribution in this scenario will be between the number of students in the sample who scored below average on the SAT and the number of students who scored above average.  Variables that have a binomial distribution must meet these four conditions:

1: The observed number of students who sat for the SAT 'n' is not variable.  

2: Each student's score (observation) is purely independent of each other, either above or below average scores.  

3: Each student's score (observation) shows one of the two outcomes ("success" or "failure").  Those below average are "failures."  Those above average are "successes."

4: The outcome probability of "success" 'p' for each student is the same.

Answer:

[tex]D. These\ triangles\ cannot\ be\ proven\ congruent[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\TU=SQ\\TP=PQ\\\angle TPU= \angle SPQ [Vertically\ Opposite\ Angles\ Are\ Equal]\\Hence,\\As\ we\ are\ given,\ 2\ sides\ and\ 1\ angle\ of\ each\ triangle\ correspond,\ we\\ could\ use\ the\ SAS\ Congruency Rule.\\But:\\[/tex]

As SAS Congruency Rule tells us that 'Two triangles are congruent only if two sides and an included angle of one triangle corresponds to two sides and an included angle of the other' .

Here,

As ∠TPU and ∠SPQ are NOT the included angle of ΔTUP and ΔSPQ respectively, the two triangles cannot be proven congruent through SAS Congruency.

Note: We also cannot apply SSA congruency as SSA congruency doesnt exist.

Answer:

orignal price of frame is 60

Step-by-step explanation:

let regular price be a

25% x a = 15

25/100 x a=15

a=15 x 100/25

a=3 x 20 = 60

Answer:

I'm pretty sure the correct answer is A from the info given

Step-by-step explanation:

Answer:

-1/15

Step-by-step explanation:

Answer:

x=-15

Step-by-step explanation:

9-3x=12x+10

-10

-1-3x=12x

+3x

-1=15x/-1

Answer:

1. 0.45

2. 0.30

3. 0.583 with a bar over 3

4. 0.80

5. 0.6 with a bar over 6

6. 0.83 with a bar over 3

7. 0.16 with a bar over 6

8. 0.9375

9. 0.13 with a bar over 3

10. 0.36 with a bar over 36

11. 0.625

12. 0.8125

13. 0.12

14. 0.4 with a bar over 4

15. 0.8 with a bar over 8

16. 0.6875

17. 0.56

18. 0.73 with a bar over 3

Answer: J. Rollerama charges $30 plus $4.50 per person. Maria has $129.

Step-by-step explanation: 129-30= 99 99/4.5= 22

Answer:

Because the numerator cannot be higher than the denominator

Step-by-step explanation:

8/6 would be counted as incorrect bc the numerator (8) cannot be higher than the denominator (6). so it would be written as 1  2/6

Answer:

Concept: Vectors

Answer:

a) [tex]10x+8y \geq 200[/tex]

b) The members should sell at least 15 puzzles

Step-by-step explanation:

Let x represents selling games

and y represents puzzles

The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.

a) The inequality will be:

[tex]10x+8y \geq 200[/tex]

at least 200 means the profit can be equal to 200 or greater than that.

b) If the members sell 8 games, how many puzzles would they have to sell?

Number of puzzles sold can be solved by solving the inequality [tex]10x+8y \geq 200[/tex]

Put x =8 and find value of y

[tex]10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15[/tex]

So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.

Answer:

ten :)))))))))))))))))))))))))