Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.

Answers

Answer 1

Answer:

130°

Step-by-step explanation:

20° + 30° =50°

a triangles full angle is 180°

180° - 50° = 130°


Related Questions

What is the value of c ?

Answers

Answer:

34

Step-by-step explanation:

:)

Answer:

34

Step-by-step explanation:

Remember that the sum of the angles of a triangle is 180

And since two sides are congruent b = 73

So 180-(73+73) = 34

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5

Answers

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]

[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]

[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]

On further simplification, we get

[tex]r=\sqrt{9+4}[/tex]

[tex]r=\sqrt{13}[/tex]

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].

[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]

[tex](x+2)^2+(y-1)^2=13[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].

PLease i need answer.
2x²-2x+3x²-3=0
The equation is equal to the equation

Answers

Step-by-step explanation:

this answer is so important if you know

Another one is x1=-3/5 , x2=1 and alternative form is x1=-3/5 , x2=1

Solve 5(2–m)-3(4 – 2m) = 20

Answers

Step-by-step explanation:

5(2–m)-3(4 – 2m) = 20

10-5m-12+6m=20

m=22

hope it helps

answer

m =22

solution

5(2-m)-3(4-2m)=20

10-5m-12 +6m=20

-2+m =20

m= 20+2

m =22

what % of $4 = $1
Please hurry​

Answers

Answer:

25%

Step-by-step explanation:

The answer is 25%

hope that is right..

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.

If the area of the rectangle is 22 square inches, what is the value of the unknown number?

Answers

Given:

Short sides of a rectangle = 2 inches.

Area of the rectangle = 22 square inches.

The long sides of the same rectangle are three less than an unknown number of inches.

To find:

The unknown number.

Solution:

Let x be the unknown number. Then the longer side of the rectangle is (x-3) inches.

We know that the area of a rectangle is

[tex]A=length\times width[/tex]

The area of the rectangle is 22 square inches.

[tex]22=2(x-3)[/tex]

Divide both sides by 2.

[tex]11=x-3[/tex]

Add 3 on both sides.

[tex]11+3=x-3+3[/tex]

[tex]14=x[/tex]

Therefore, the value of the unknown number is 14.

Calculate the distance Katie rides her bike if she rides 7/10 mile each day for 9 days?

Answers

Answer:

6.3 miles

Step-by-step explanation:

7/10 = 0.7

0.7 x 9 = 6.3 miles after 9 days

The distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.

What is Distance ?

Distance is the total movement of an object without any regard to direction.

We can define distance as to how much ground an object has covered despite its starting or ending point

Katie rides her bike 7/10 mile each day for 9 days

In 1 day she covers a distance of 0.7 mile

so in 9 days she will cover

=0.7 * 9

= 6.3 miles

Therefore the distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.

To know more about Distance

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The average number of people who attended football games at a stadium increased from 8000 people in the year 2005 to 12500 people in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?

Answers

Answer: 43.75%

Step-by-step explanation:

The percentage change is given by:

= [Final value - initial value / Initial value] x 100

The percentage increase in the average number of people from 2005 to 2012 is 56.25%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

The average number of people in 2005 = 8000.

The average number of people in 2012 = 12500.

The change in the average number of people from 2005 to 2012.

= 12500 - 8000

= 4500

The percentage change in the average number of people at the games from 2005 to 2012.

= [Change in the average number of people / Average number of people in 2005] x 100

= (4500 / 8000) x 100

= 450/8

= 56.25%

Thus,

The percentage increase in the average number of people from 2005 to 2012 is 56.25%.

Learn more about percentages here:

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Solve: 6 divided by 1/6

Answers

Answer:

0.1 I think

Step-by-step explanation:

simplify 4(3x -2y) + 3 (4x - 3y)

Answers

Answer:

24x-17y

Step-by-step explanation:

12x-8y+12x-9y

please mark branliest

Answer:

24x−17y

Step-by-step explanation:

4(3x−2y)+3(4x−3y)

Distribute:

=(4)(3x)+(4)(−2y)+(3)(4x)+(3)(−3y)

=12x+−8y+12x+−9y

Combine Like Terms:

=12x+−8y+12x+−9y

=(12x+12x)+(−8y+−9y)

=24x+−17y

Answer:

=24x−17y

Need help pleaseee someone

Answers

Answer:

Step-by-step explanation:

Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

64.01

Step-by-step explanation:

tan∅= p/b

tan58= x/40

or, x= 40×tan58

x = 64.01

{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Input your answer as a point.

Otherwise, enter "No solution" or "Infinite number of solutions.

Answers

Answer:

Sorry I don't know that one

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (29pts)

Answers

Answer:

C

Step-by-step explanation:

Answer:

D. 9.95 in

Step-by-step explanation:

law of sines

(sin(B)/b)=(sin(C)/c)

sin(56)/x=sin(90)/12

sin(56)/(sin(90)/12)=x

9.95=x

Hope this helps :)

I need helppp I’m stuck

Answers

K (-3,-3)
L (1,-1)
M (-1,-5)
N (-5,-7)

if m<AFC= 150°, what is m<CFD​

Answers

Answer:

30

Step-by-step explanation:

These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap)  The 2 angles  form a  linear pair           The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

If one angle is 150 then the other angle must be 30

150+30 = 180

Farmer john's son built a track to walk his pet pig. The track goes around the rectangular pig pen. The pig pen is 15 ft long and 21 ft wide, if the pig walks all the way around the track,how many feet did he walk? A.36 B.72 C.144 D.315

Answers

Answer: (b)

Step-by-step explanation:

Given

dimension of Pig pen is [tex]l=15\ ft[/tex]

width [tex]w=21\ ft[/tex]

Pig walks around the perimeter

and perimeter of the rectangular area is  [tex]2(l+w)[/tex]

Pig walks

[tex]P=2(15+21)\\P=2\times 36=72\ ft[/tex]

At the amusement park, Laura paid $6.00 for small cotton candy. Her older brother works at the park, and he told her they mark up the cotton candy by 300%. What is the price of the cotton candy before the markup?

Answers

$2 because 6/%300= 2
I think it’s $2 dollars sorry if I’m wrong

Loren made a scale map of his football field to prepare for the big game. The length
of the football field on his map was 3 in. In reality the football field is 100 yards long.
What is the scale factor?

Answers

Answer:

1200

Step-by-step explanation:

brainliest please :D

7
x 16
00
What is the correct answer for this problem?

Answers

Answer:

11200

Step-by-step explanation:

is that right


What values of x and y make BCD ~UST?

Answers

Step-by-step explanation:

c a

Math is garbage and it sucks please help before I smash my laptop with a brick

Answers

Answer:

7x+66=122

Hope this helps =]

Answer:

7x+66=122

Step-by-step explanation:

x+x+x+x+x+x+x+66=122

7x+66=122

7x=56

x=8

Help plz I have time and I need to show work

Answers

21 I think but I was just guessing

Hiiioo can someone please help!❤️❤️❤️:)

Answers

I think the answer is 6

Please I need help give you brainlist rate you heart you lol
I

Answers

Answer:

Y=1.50

Step-by-step explanation:

For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others

1) 4x1.50= 6.00

2)5.00/1.50= 3 and 1/3

I will give brainliest, I just need to see if my answer I wrote down was correct

Answers

Answer:

143m

Step-by-step explanation:

what is the range of g?

Answers

Answer:

B.

Step-by-step explanation:

The values for g(x) divert after the point -1.

So, the values are going to be equal or greater than -1.

Use substitution to find the solutions to the systems.

Answers

Answer:

NOCC CD REDSA  DFRESB BGF  DDDFGFDSDF

Step-by-step explanation:

Okay you can set them equal to each other...

5.) y = x^2-7x+4; y = x-3
x-3 = x^2-7x+4
x^2-8x+4 = 0
(x-1) (x-7)
x = 1, 7

6.) y = x^2-5x+10; y = 2x^2-6x+4
x^2-5x+10 = 2x^2-6x+4
x^2-x-6 = 0
(x-3)(x+2)
x = 3, -2

The graph models the value of a vehicle over x years following its purchase for $25,000.
Which interpretation is correct?
(A) The asymptote indicates that the original value of the vehicle approached $25,000

(B) The point (40, 0) contains the x-intercept

(C) The line x=25,000 is an asymptote of the graph

(D)The line y=0 is an asymptote of the graph

Answers

Answer: it’s D. I took the test

The correct  interpretation are,

The asymptote indicates that the original value of the vehicle approached $25,000

The line y=0 is an asymptote of the graph

Graph of function:

From the given graph,

It is observed that graph is never intersect the x- axis. Therefore, x-axis will be the asymptote.

The equation of x- axis is y= 0.

Since at x= 0, the value of y = 25,000 , It means that  the original value of the vehicle approached $25,000.

The x- intercept is the point where graph crosses the x-axis.

Learn more about the asymptote of graph here:

https://brainly.com/question/1851758

You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour

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