Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Lines AB And CD Are Straight Lines. Find X And Y. Give Reasons To Justify Your Solutions.

Answers

Answer 1

9514 1404 393

Answer:

  x = 14°

  y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

  5y = 25°

  y = 5° . . . . . . divide by 5

__

Similarly, angle MOB is complementary to angle LOM, so ...

  90° -25° = 3x +23°

  42° = 3x . . . . . subtract 23° and simplify

  14° = x . . . . . .  divide by 3

The values of x and y are ...

x = 14°y = 5°

Related Questions

Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?

Answers

Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:

Answers

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represent this situation.

Answers

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.

On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7-4 = -3
-7-3 = -10
-7+ 4 = -3

Answers

Answer:

-7+-3=-4

Step-by-step explanation:

At the movie theater you bought a large popcorn and a soda for $18. The cost of the popcorn
was $12. How much was the soda

Answers

Answer:

$6

Step-by-step explanation:

18-12=6

sksmskskssksksk

Answer:

$6

Step-by-step explanation:

18-12=6

Select the correct locations on the graph. Select the lines that represent functions.

Answers

Answer:

bruh there isnt a graph or anything we cant answer it

Step-by-step explanation:

Answer:

where is it

Step-by-step explanation:

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

Answers

9514 1404 393

Answer:

379 adult tickets896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?

Answers

Answer:

48 I think

Step-by-step explanation:

12+12+12+12=48

or 12 x 4=48

Answer:

48

Step-by-step explanation:

12+12+12+12 = 48

or

12x4=48

Which statement is true about perpendicular lines?

Help please!!

Answers

Answer:

The answer is that they intersect at the right angles 90°

Answer:

they intersect at right angles (90 degrees)

Step-by-step explanation:

17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68

Answers

Answer:

D. 18.4, 18.04, 17.86, 17.68

Step-by-step explanation:

Very Easy!

HURRY PLEASE!!!!!!!

What is the argument of z = 1/16 - square root of 3/16 i?

Answers

Answer:

A

Step-by-step explanation:

Edg2020

The value of the argument of z is -π/3.

What is the argument of z?

The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.

We define a singular value known as the major argument of z to be more precise.

Given z = 1/16 - √3/16i

equation of z is x + iy

here x = 1/16 and y = -√3/16

to find the angle,

tanФ = y/x

tanФ = (-√3/16)/(1/16)

tanФ = -√3

Ф = tan⁻¹(-√3)

Ф = -π/3

Hence  arguement of z is -π/3.

Learn more about arguement of z;

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WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.

Answers

Answer:

y=x-2

a. 3=x-2

b. this isn't wrong??

c. 3=x-2

d. add 2 to both side so taht x is on its own so 5=x

e. yes

Answer:

C and E

Step-by-step explanation:

Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.

B is not right because you can replace either y or x

D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.

Hope this helped :)

Naveen has a bag of marbles. There are 44 green marbles. He has 4 as many green marbles as he does blue marbles. How many blue marbles does Naveen have?

Answers

Answer:

11 marbles

Step-by-step explanation:

44 green marbles, which is 4 times the amount of blue marbles

44/4=11

Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10

Answers

b , e , a are the correct answers

Answer:

-5 and 2

Step-by-step explanation:

If x=3 then y=21. What is the value of x when y=105

Answers

Answer:

0.6

Step-by-step explanation:

If Y=105 you would divide 105 by the original Y which was 21, therefore getting 5. With that 5 we would divide 3 by 5 because that's what we did with the Y and then we get 0.6. hope this helped! xx

A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.

Answers

Answer:

Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds

Step-by-step explanation:

Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids

Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond

Mathematically 152/6 = 25.3333

Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp

Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?

Answers

Answer:

3 minutes tens seconds or 190 seconds

Step-by-step explanation:

Find the LCM.

5x - 2y = 26 y + 4 = x​

Answers

There ya go hope that’s right I was kinda confused on what I was solving cuz there wasn’t rly any specifics sorryyyy

Each school bus going on the Field Trip holds 36 students and 4 adults.There are 6 filled buses in the Field Trip.How many People are going on the Field Trip? Answer Now Please it is homework!

Answers

Answer:

240 people

Step-by-step explanation:

Step one:

given data

Number of Students in a bus= 36

Number of Adults in a bus= 4

Total number of persons in a bus= 36+4= 40 persons

Step two:

in one bus there are 40 people

in 6 filled buses there are 6*40

=240 peoples.

Therefore there are 240 people going on the field trip

Please help me---------------------------

Answers

Answer:

Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.

The solution is: (1.2, -1.6)

Step-by-step explanation:

You can also test this by plugging the values of the point into both equations.

A well is to be dug at the location in the diagram. Use the diagram for the parts.

The equation that represents the road is y= ______​

Answers

Answer:

[tex] y = \frac{1}{6}x - 5 [/tex]

Step-by-step explanation:

The equation that represents the road can be written as [tex] y = mx + b [/tex]

Find, m = slope, and b = y-intercept of the line.

Using two points on the line, (-6, -6) and (6, -4), find the slope:

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]

Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.

[tex] -6 = \frac{1}{6}(-6) + b [/tex]

[tex] -6 = -1 + b [/tex]

Add 1 to both sides

[tex] -6 + 1 = b [/tex]

[tex] -5 = b [/tex]

Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].

✅The equation that represents the road would be:

[tex] y = \frac{1}{6}x + (-5) [/tex]

[tex] y = \frac{1}{6}x - 5 [/tex]

BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00

Answers

Answer

how much is like saying time the this

Step-by-step explanation:

60,000 time 9.35%= 56100

Solve for x. 3(5 + 4x) = 75

Answers

Answer:

3(5+4x) = 75

Step-by-step explanation:

Step 1: Distribute. --> 3(5+4x) = 75

                                   15 + 12x =75

Step 2: Find X. ---> 15 + 12x = 75

                               -15            -15

                                      12x = 60

Step 3: Divide.                12      12

Answer: x = 5

Answer:

X=5

Step-by-step explanation:

What will be the slope of (3,-4) and (1,2)

Answers

Answer:

[tex]\boxed {m = 1}[/tex]

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First Point: [tex](x_{1}, y_{1})[/tex]

Second Point: [tex](x_{2}, y_{2})[/tex]

-Substitute both points:

First Point: [tex](3, -4)[/tex]

Second Point: [tex](1, 2)[/tex]

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

-Solve for the slope:

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

[tex]m = \frac{-2}{-2}[/tex]

[tex]\boxed {m = 1}[/tex]

Therefore, the slope is [tex]1[/tex].

Which of the following is a rearrangement of A
(61 +62) · h
that highlights the variable h?

Answers

Answer:

123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer

Write a situation that could be represented by the algebraic expression 3a + 2.15.

Answers

Answer:

5.15

Step-by-step explanation:

5.15 = 3a + 2.15

5.15 - 2.15 = 3a

3.15 = 3a

a = 0.05

I hope this helps you :)

Find the rate of change of the linear function
shown in the graph, Then find the initial value.
The rate of change is

Answers

Answer:

6

Step-by-step explanation:

dfsfads

Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon

Answers

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

What is division ?

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

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Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x-3 O A. (1,10) O B. (-2,1) C. (1.-4) D. (-2,-7)​

Answers

Answer:

The answer is B

Step-by-step explanation:

Because I calculated properly and check my answer 2 times

trust me this is the answer

pls mark me as brainliest

Answer:

B

Step-by-step explanation:

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2=

Answers

Answer:

..

Step-by-step explanation:

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