m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?

Answers

Answer 1

Answer:

m<WYX = 31°; m<WYZ = 59°

Answer 2

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.

If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.

Then the equation will be

∠WYX + ∠WYZ = 90°

2x - 7 + 3x + 2 = 90

             5x - 5 = 90

             5x = 90 + 5

             5x = 95

               x = 95 / 5

               x = 19

Then the measure of the angle ∠WYX will be

∠WYX = (2x − 7)°

∠WYX = (2 × 19 − 7)°

∠WYX = (38 − 7)°

∠WYX = 31°

Then the measure of the angle ∠WYZ will be

∠WYZ = (3x + 2)°

∠WYZ = (3 × 19 + 2)°

∠WYZ = (57 + 2)°

∠WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

More about the angled link is given below.

https://brainly.com/question/15767203

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Related Questions

A bag has 14 yellow marbles and 4 red marbles. Half of the red marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a red, glass marble?

Answers

Answer:

2/18, or 1/9

Step-by-step explanation:

Lets start by finding out how many red, glass marbles there are.

Half of the red marbles of glass, and there are four red marbles. All we need to do is divide 4 by 2.

4/2=2

There are two glass marbles.

Now we just need to add the number of red marbles to yellow marbles. That would be 14+4, which is 18.

In conclusion, there are 2 red marbles, and 18 marbles in total, so it would be 2/18. Simplified, it would be 1/9.

How can I solve this?

Answers

: 2(2x-7)+2(4x+3)=112

Step-by-step explanation:

Answer: Third Choice. 112 = 2 (2x - 7) + 2 (4x + 3)

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2l + 2w

l = length

w = width

Solve:

Given information

l = 2x - 7

w = 4x + 3

Perimeter = 112 cm

Given expression

Perimeter = 2l + 2w

Substitute values into the expression

[tex]\boxed{112 = 2 (2x - 7) + 2 (4x + 3)}[/tex]

Expand parentheses

112 = 4x - 14 + 8x + 6

Combine like terms

112 = (4x + 8x) + (6 - 14)

112 = 12x - 8

Add 8 on both sides

112 + 8 - 12x - 8 + 8

120 = 12x

Divide 12 on both sides

120 / 12 = 12x / 12

[tex]\boxed{x=10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Find the area of this circle. Use 3 for pi please




Answers

Answer:

108 cm²

Step-by-step explanation:

A = πr²

A = 3 * 6²

A = 3 * 36

A = 108

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is m O M ZABC = 60°
OM ABC = 67°
OM ZABC = 120°
O M ABC = 127°

Answers

Answer:

∠ ABC = 127°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle , then

∠ ABC = ∠ BDC + ∠BCD = 60° + 67° = 127°

We know that we have a triangle and we want to find the value of its angle which will be given by  53°.

We know that the sum of all the interior angles of a triangle must equal 180 degrees, so we find then:

[tex]ABC=180[/tex]

Now making the sum of the angles already known and equating to 180, we find that:

[tex]180=67+60+x\\x=180-127\\x= 53[/tex]

See more about triangles at brainly.com/question/25813512

The only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday

Answers

Step-by-step explanation:

I guess the answer is $200

I'm just guessing tho

What is the coefficient in the term -5y?

Answers

Answer:

-5

Step-by-step explanation:

-5 is the coefficient in the term -5y

The number which is multiplied with the variable is called the coefficient of the variable

Answer:

-5

Step-by-step explanation:

The coefficient is the number next to the variable. In this case, the coefficient is -5.

Express (x – 7)^2
as a trinomial in standard form.

Answers

Answer:

[tex] {(x - 7)}^{2} \\ = {x}^{2} - 2 \times x \times 7 + {7}^{2} \\ = {x}^{2} - 14x + 49 \\ thank \: you[/tex]

Step-by-step explanation:

( x - 7)^2 is the same as :

( x - 7)* ( x - 7)

x ( x - 7) - 7(x - 7)

x² - 7x - 7x + 49

x² - 14x + 49

hope this helps

what is the magnitude of the charge if the charge is 5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

(38.01-0.07)+(11.65-0.001)​

Answers

Answer:

=49.589

Step-by-step explanation:

49.589

(37.94)+(11.649)

4y + 3y + 2y =
please help. Thank you.

Answers

Answer:

9y

Step-by-step explanation:

4y + 3y + 2y

= 4y + 5y

= 9y (Ans)

Evaluate the expression

Answers

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

I need help with this please!!

Answers

Answer:

Step-by-step explanation:

B.

??????????????????????????????

Answers

Answer:

i finished on the other question yw

Step-by-step explanation:

also not sure if you wanted the values for n

edit:

7. n/2 = 16

8. 2n + 4 = 52

9. 2(n + 5) = 17

10. 3n - 12 = 5

Answer:

7. 32

8. 24

9. 3.5

10. 5.6

Step-by-step explanation:

7. write the equation: n/2=16. Cross multiply.

8. write the equation: 52= 4+2n. Move 4 to the other side and subtract from 52: 48= 2n. Divide both sides by 2.

9. write the equation: 2(5+n)=17. Use the distributive property. Move 10 to the other side and subtract from 17: 2n=7. Divide both sides by 2.

10. write the equation 3n-12=5. move -12 over and add to 5: 3n=17. Divide both sides by 3.

brainliest plzzzzzz

35. The circumference of a circle is 67
inches. What is the area of the circle?
A=2

Answers

Answer:

B

Step-by-step explanation:

hopefully it makes sense and is visible:)

Answer:  9pi  (choice B)

====================================================

Work Shown:

C = 2*pi*r .... circumference equation

6pi = 2pi*r .... replace C with the given circle perimeter

6 = 2r .... divide both sides by pi, they cancel

6/2 = r

3 = r

r = 3 ... is the radius

------------

A = pi*r^2 .... area of circle equation

A = pi*3^2

A = pi*9

A = 9pi .... which points to choice B as the final answer

Factor completely: 10a2 - 15a + 4ab - 6b.
A)(2a - 3)(5a + 2b)
B)(2a - 3b)(5a + 2)
C)(2a + 3)(5a - 2b)
D)(2a- 3) (5a²-2b)

Answers

Answer:

A

Step-by-step explanation:

[tex]10 {a }^{2} - 15a + 4ab - 6b \\ 5a(2a - 3) + 2b(2a - 3) \\ (5a + 2b)(2a - 3)[/tex]

hopefully it makes sense

:)

I neeed Help it easy

Answers

Equation of the line:

y = 1.5x – 4.5

or
y = 3/2 - 9/2

Slope (m) = ΔY/ΔX= 3/2= 1.5
m= 1.5


Question 4 Multiple Choice Worth 5 points)
Simplify by dividing
(-5/8) divided by (-3/4)

A. 20/24
B. -20/24
C. -15/32
D. 15/32

Answers

Answer:

0.0520833333 is the "techical answer" but the real answer is B

Step-by-step explanation:

if you do the math -5 x 4 / 8 x -3 = -20/24

Hope this helps :)

real number venn day 1 activity sheet .

Answers

Oh I’m not sure what your talking about

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?


Original
(Gallons)
Added
(Gallons)
New
(Gallons)
Amount of Detergent
1.98
0

Amount of Solution
11
g


StartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1
StartFraction 1.98 Over 11 + g EndFraction + StartFraction 12 Over 100 EndFraction = 1
StartFraction 11 + g Over 1.98 EndFraction = StartFraction 12 Over 100 EndFraction
StartFraction 1.98 Over 11 + g EndFraction = StartFraction 12 Over 100 EndFraction

Answers

Answer:

its A

Step-by-step explanation:

i took the quiz :)

Answer:

B on edge 2022

Step-by-step explanation:

SOMEONE HELP ME PLEASE

Answers

Answer:

6.3 cm

Step-by-step explanation:

The distance from each centimeter is divided into 10 parts.  Point A starts at 0 and goes until right before 6.5.  The big line between each whole number signifies that you are halfway through the centimeter.  As you can see, point B is right before a big line, so can't be bigger than 6.5 nor equal.  The only option that fits this is 6.3 cm

The answer is 6.3 cm

If helpful, brainliest please !

what are the measures of other angles of parallelograms 56​

Answers

<C=<A=56°

[tex]\\ \rm\longmapsto A+D=180[/tex]

[tex]\\ \rm\longmapsto D=180-56=124[/tex]

<D=<B=124°[/tex]

Using the same application you used in Part F ,reflect the line segment across the x axis , Then rotate it 90°clockwise. Finally, translate it down 2 units. What is the relationship between the original line segment and transformed line segment? If you transform a line segment with a sequence of reflection, rotations, or translation, Is it still a line segment.​ Will give Brainleist Answer

Answers

Step-by-step explanation:

sorry if I don't get it right but I think it's no?

A loaded moving truck is traveling 25 mph faster than a freight train. In the time it takes the train to travel 90 miles, the truck travels 140 miles. Find the speed of the truck.

Answers

Answer:

70

Step-by-step explanation:

if the train is traveling 90 miles in 2 hours then its going 45 mph so 25 + 45 = 70 and 70 mph is 140 in 2 so then the equation is true

Solve for X
2x+5=x-10

Answers

Answer:

x = -15

Step-by-step explanation:

Subtract x on both sides

x + 5 = -10

Subtract 5 on both sides

x = -15

Check work:

2(-15) + 5 = -15 - 10

-30 + 5 = -25

-25 = -25

the polygons are similar. find the scale factor of the smaller figure to the larger figure​

Answers

Hello!

Let’s start with the definition of “similar” figures (this definition is from varsity tutors):

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Therefore, we know that the sides of the smaller figure will be at an equal ratio to the sides of the larger figure.

The smaller figure is flipped upside down as opposed to the larger one. Therefore, the bottom (8) of the small figure has a ratio with top (12) of the large figure.

The resulting ratio is 8:12

You can simplify that! Divide both 8 and 12 by 4.

8/4=2

12/4= 3

Therefore, your final ratio is 2:3!

Hope this helped. Comment if you have questions!

The sign shows distances from a rest stop to the exits for different towns along a straight section of
highway. The state department of transportation is planning to build a new exit to Freestone at the
midpoint of the exits for Roseville and Edgewood. When the new exit is built, what will be the distance
from the exit for Midtown to the exit for Freestone?

Answers

Exit for free stone

(35+51)/286/243mi

Distance from midtown to free stone

43-1726mi

The distance from Midtown to Freestone is 26mi.

What is the distance?

The Distance is defined as the product of the speed and time.

Given data as:

Exit for Midtown = 17 mi

Exit for Roseville =  35 mi

Exit for Edgewood = 51 mi

Exit for freestone = (35+51)/2

Exit for freestone = 86/2

Exit for freestone = 43mi

Distance from Midtown to Freestone = Exit for freestone - Exit for Midtown

Distance from Midtown to Freestone = 43 - 17

Distance from Midtown to Freestone = 26mi

Hence, the distance from Midtown to Freestone is 26mi.

Learn more about distance here:

https://brainly.com/question/13269893

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find the value of x ​

Answers

Answer:

65°

Step-by-step explanation:

i think the value of x is 65

The graph shows the number of appearances of hockey teams in the Stanley Cup Finals.

a. Write the ratio that compares the appearances made by the Rangers to the appearances made by the Canadiens in simplest form. Then explain its meaning​

Answers

Answer:

Step-by-step explanation:

Important fact: much as I hate to admit it, in all professional sports, there is no team that has made as many appearances in the sports final as the Canadiens.

The ratio you want is 10/32 = 5/16.

The ratio means that for every 5 appearances the rangers made, the Canadiens made 16 appearances.

.65,6.5,2/3,1/2 least to greatest

Answers

Answer: 1/2 < 0.65 < 2/3 < 6.5

Step-by-step explanation:

Given information

0.65, 6.5, 2/3, 1/2

Convert fractions into decimals

0.65 = 0.65

6.5 = 6.5

2/3 = 0.67 (Rounded to hundredth place)

1/2 = 0.5

Arrange decimals from least to greatest

0.5 < 0.65 < 0.67 < 6.5

Convert terms back to the given form

1/2 < 0.65 < 2/3 < 6.5

Hope this helps!! :)

Please let me know if you have any questions

i need help asap please

Answers

Answer:

a.

MP3 player: 88%

Video game player: 92%

b.

MP3 player: 75 minutes

Video game player: 67 minutes

Step-by-step explanation:

a.

MP3 player

- Already has 40%

- Each 15 minutes additional 12%

--> An hour = (60/15)*12 = 48 (%)

--> After an hour charged = 40 + 48 = 88%

Video game player

- Already has 20%

- Each 10 minutes additional 12%

--> An hour = (60/10)*12 = 72 (%)

--> After an hour charged = 20 + 72 = 92 (%)

b. To charges 100 minutes:

MP3 player

100 = 40 + ((x/15*12)

--> x = 75 (minutes)

Video game player

100 = 20 + ((x/10*12)

--> x = 67 (minutes)

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