All categories

3 years ago

Find the values of x and y that make k || j and

Mathematics

2 answers:

MArishka [77]3 years ago

6 0

Answer:

x = 80°
y = 130°

Step-by-step explanation:

The interior is a parallelogram when adjacent angles are supplementary. This requires ...

(x -30)° + (x +50)° = 180°

2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °

2x = 160 . . . . . . . . . . . . . . . subtract 20

x = 80 . . . . . . . . . . . . . . . . . divide by 2

Then the angle x+50 is ...

(x +50)° = (80 +50)° = 130°

This is also the measure of the angle marked y.

For the lines to be parallel, x = 80, y = 130°.

jolli1 [7]3 years ago

6 0

Answer:

X = 80*

y = 130*

Step-by-step explanation:

I got it right on Edge.

You might be interested in

Below are the heights (in inches) of students in a third-grade class. Find the median height. 39, 37, 48, 49, 40, 42, 48, 53, 47

Nutka1998 [239]

Given:

The heights (in inches) of students in a third-grade class are:

39, 37, 48, 49, 40, 42, 48, 53, 47, 42, 49, 51, 52, 45, 47, 48

To find:

The median height.

Solution:

The given data set is:

39, 37, 48, 49, 40, 42, 48, 53, 47, 42, 49, 51, 52, 45, 47, 48

Arrange the data set in ascending order.

37, 39, 40, 42, 42, 45, 47, 47, 48, 48, 48, 49, 49, 51, 52, 53

Here, the number of observations is 16. So, the median of the given data set is:

$Median=\dfrac{\dfrac{n}{2}\text{th term}+\left(\dfrac{n}{2}+1\right)\text{th term}}{2}$

$Median=\dfrac{\dfrac{16}{2}\text{th term}+\left(\dfrac{16}{2}+1\right)\text{th term}}{2}$

$Median=\dfrac{8\text{th term}+9\text{th term}}{2}$

$Median=\dfrac{47+48}{2}$

$Median=\dfrac{95}{2}$

$Median=47.5$

Therefore, the median height of the students is 47.5 inches.

5 0

3 years ago

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50.00 plus $0.35 per mile driven.

Fittoniya [83]

Answer:

50d * 0.35m

Step-by-step explanation:

so I don't normally do it like this it would normally be 50 * 0.35x. but the days also had a fee unless she doesn't have it for 2 days and only has it one but d is the days she has it and m is the miles driven the * is times

you would have to find out the days she has it unless you don't have that is would be the answer above (if I am wrong I'm sorry)

6 0

3 years ago

Read 2 more answers

Dylan has eight party bags he wants 3 lollipops and each bag how many lollipops does Dylan need to buy?

BlackZzzverrR [31]

Answer:

24 lollipops

Step-by-step explanation:

8 bags with 3 lollopops in each

you can add 3 to itself 8 times,

3+3+3+3+3+3+3+3=24

or multiply 3x8=24

4 0

3 years ago

A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that c

Roman55 [17]

Answer:

total balls in the Machine = 7+5+4 = 16

Step-by-step explanation:

METHOD-1

Probability of First ball to be Blue = 7/(7+5+4) = 7/16

Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]

Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]

But this can happen in any order so the orders in which it can happen = 3!

i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4

Answer: Option E

METHOD-2

The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840

The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360

Probability = Favourable Outcome / Total Outcomes

i.e Probability = 840 / 3360 = 1/4

Answer: Option E

METHOD-3

The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560

The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140

Probability = Favourable Outcome / Total Outcomes

i.e Probability = 140 / 560 = 1/4

Answer: Option E

7 0

3 years ago

If given 3 1/2 cups of laundry detergent, list two fractional parts that 3 1/2 could be divided into evenly. How do you know?

kenny6666 [7]

Answer:

Step-by-step explanation:

because, 3/2+3/2=6

the answer is divide by 2 that's why the final ans. is 3

it's my view I'm not sure my answers

3 0

3 years ago