the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.

Answers

Answer 1

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120


Related Questions

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

PLEASE HELP MEEE!!!!!!!True or False? A circle could be circumscribed about the quadrilateral below.
O A True
B. False
SUBMIT

Answers

Answer:

I have a feeling the answer is false

Step-by-step explanation:

If this is wrong please dont be mad :/

Yes, a circle can be circumscribed in quadrilateral.

What is cyclic quadrilateral?

According to the definition, a cyclic quadrilateral is a quadrilateral that is encircled by a circle. It signifies that all four vertices of the quadrilateral are within the circle's perimeter.

A cyclic quadrilateral is a quadrilateral with all four of its vertices on a circle. It is also known as an inscribed quadrilateral.

We know that a cyclic quadrilateral is one in which the opposite angles of a quadrilateral amount to 180 and a circle can be inscribed.

The opposite angles add up to 180 in this example, indicating that it is a cyclic quadrilateral.

Learn more about this cyclic quadrilateral here:

brainly.com/question/2491603

#SPJ7

NOT TO SURE!! LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting

Answers

Answer:

C) Intersecting

Step-by-step explanation:

happy to help ya:)

Answer:

Is thier an answer that you can put as Perpindicular because that should be the right answer

Step-by-step explanation:

Perpendicular lines are two lines that intersect and form right angles

Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi

Answers

Answer:

d=6

Step-by-step explanation:

Answer: diameter is 6

Step-by-step explanation:

A professor must randomly select 4 students to participate in a mock debate.
There are 20 students in his class. In how many different ways can these
students be selected, if the order of selection does not matter?

Answers

Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845

Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.

Answers

Answer:

Arrow C.

Step-by-step explanation:

Out of three arrows, nearest arrow from the origin will be the best arrow.

Ordered pair for arrow A → (-5, 4)

Distance between A and bullseye = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}[/tex]

                                                    =  [tex]\sqrt{(0+5)^2+(0-4)^2}[/tex]

                                                    = [tex]\sqrt{41}[/tex]

                                                    = 6.40 units

Ordered pair for arrow B → (5, -5)

Distance between B and bullseye = [tex]\sqrt{(0-5)^2+(0+5)^2}[/tex]

                                                         = [tex]5\sqrt{2}[/tex]

                                                         = 7.1 units

Ordered pair for arrow C → (-2, -6)

Distance between C and the bullseye = [tex]\sqrt{(0+2)^2+(0+6)^2}[/tex]

                                                               = [tex]\sqrt{40}[/tex]

                                                               = 6.32 units

Distance between C and the bullseye is the shortest.

Therefore, arrow C will be the best arrow.

Answer:

6.3 cm

Step-by-step explanation:

4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z

Answers

Answer:

and 4x-5x-4x+3y+7y-3y-8z+10z-8z

-5x+7y-6z :this is the answer

Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Answers

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting

Answers

Answer:

The answer is A, parallel.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took the test

Can someone please help me

Answers

Answer:

1) D

2) B

3) A

4) D

Step-by-step Explanation:

1) 1,300,000

= 1.3 × 10⁶

2) 0.052

= 5.2 × 10⁻²

3) 4,500

= 4.5 × 10³

4) 0.00061

= 6.1 × 10⁻⁴

Which factors affect the strength of electric force between two charged objects?

Answers

Answer:

The first factor is the amount of charge on each object. The greater the charge is then the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is.

Step-by-step explanation:

The perimeter of an equilateral triangle is 120mm.
State the length of one of its sides.

Answers

Answer:

[tex]40 \:mm[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

[tex]\frac{120}{3} =40[/tex]

Answer:

40mm

Step-by-step explanation:

Perimeter of an equilateral=3a

120=3a

a=120/3

a=40mm

Please help me with this

Answers

Answer:

V of cylinder = V=πr^2h

V of rectangular prism = l*w*h

V of cylinder = 16 * 3.14 * 8

                      = 401.92

V of rectangular prism = 14 * 8 * 12

                                      = 1344

Add = 401.92 + 1344

       = 1,745.92

1,745.92 is the answer.Rounded the answer is C

Which statements are true? Check all that apply. Magnitude is never a negative value. The magnitude of –1.9 is |–1.9| which is 1.9. The absolute value of a number is greater than its magnitude. The numbers –4 and 4 have the same magnitude. The magnitude of Negative two-thirds is less than the magnitude of Two-thirds.

Answers

Answer:

A, B, D

Step-by-step explanation:

The options are:

A. Magnitude is never a negative value

This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.

Hence, the polarity of the number is not necessary.

B. The magnitude of –1.9 is |–1.9| which is 1.9

This is true because they have the same numerical value.

C. The absolute value of a number is greater than its magnitude

This is false because absolute value and magnitude of a number are the same.

D. The numbers –4 and 4 have the same magnitude

This is true. They have the same absolute value, hence, they have the same magnitude.

E. The magnitude of -2/3 is less than the magnitude of 2/3

This is false as already explained in C above.

Answer:

a b d

Step-by-step explanation:

Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4

Answers

Answer:

-1/4

Step-by-step explanation:

Multiplicative inverse is another word for reciprocal

It is the number you multiply by to get 1

-4 * x = 1

Divide each side by -4

x = 1/-4

x = -1/4

Answer:

- 1/4

Step-by-step explanation:

- 4 * x = 1

= - 1/4

Hope this helps!

A certain pet store sells 6 times as many fish as kittens. It sells twice as many kittens as lizards. If the pet store sells 15 lizards a week, how many fish, kittens, and lizards does the pet store sell every week?

Answers

It sells twice as many kitten as lizards:

Kittens sold = 15 x 2 = 30 total kittens.

It sells 6 times the amount of fish:

Fish sold = 6 x 30 = 180 total fish.

Lizards = 15

Kittens = 30

Fish = 180

Answer:

They sell 225 pets each week.

Step-by-step explanation:

Let f be fish, k be kittens, and l be lizards.

[tex]f[/tex]÷6=[tex]k[/tex]

[tex]k[/tex]÷2=[tex]l[/tex]

If [tex]l=15[/tex], then:

[tex]k=30\\f=180[/tex]

180+30+15=225 pets

They sell 225 pets each week.

(I hope this isn't wrong but that answer seems wrong)

yo pleaseee help me w these!! marking brainiest!!!

Answers

The answer to the solution of x^2+4=8x+5
D. x=4+/- √17

A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?

Answers

Answer: 85/12 fewer bushels per acre

Step-by-step explanation:

Hi, to answer this question we have to write an expression with the information given and solve it:

We simply have to divide the total loss (21 1/4) by the number of acres (3):

Mathematically speaking:

21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre

Feel free to ask for more if needed or if you did not understand something  

The average loss per acre is [tex]7\frac{1}{12}[/tex]

The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres

[tex]21\frac{1}{4}[/tex] ÷ 3

In order to solve this question, the mixed number has to be changed to an improper fraction.

Steps to take :  

1. Multiply the whole number by the denominator ( 4 x 21 = 84)

2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)

3. divide the number gotten in the previous step by the denominator (85/4)

[tex]\frac{85}{4}[/tex] ÷ 3

= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]

A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults

4 (9x+6) = 36x - 7 what does x =

Answers

Since 24= - 7 is false , there is No solution

helppppppppppppppppppppppppp!

Answers

Answer:

The  difference is  22.5 km

Step-by-step explanation:

CD = 4.5 cm

DE = 8 cm

       -----------

         12 .5 cm

CE = 5 cm

The difference is

12.5 - 5 = 7.5 cm

Then multiply by the scale factor

7.5 cm * 3 km /1 cm =22.5 km

Please answer !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

[tex]\frac{1}{4}(x+5)^2-1=3[/tex]

Add 1 to both sides.

[tex]\frac{1}{4}(x+5)^2=4[/tex]

Multiply both sides by 4.

[tex](x+5)^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]

[tex]x+5=4[/tex]

Subtract 5 from both sides.

[tex]x=-1[/tex]

there are 48 cards in a pack and each card is either red or black.the ratio of the number of red cards to the number of black cards is 1:1.
8 red cards are removed from the pack
find the ratio of the number of red cards now in the pack to the number of black cards now in the pack

Answers

Answer:

2:3

Step-by-step explanation:

We know that there are 24 red and black cards in the 48 pack because their ratio is 1:1. When 8 red cards are removed we have 16 red and 24 black cards. The ratio of this is 16:24 which simplifies to 2:3.

The ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1

Calculation of ratio

The total amount of cards (red or black) in the pack is = 48

The ratio of the number of red cards to the number of black cards is = 1:1

The number of cards removed from the pack = 8

Therefore the total number of cards( red or black = 48 -8

= 40 cards

But to calculate the number of red card

= 1+1 = 2

40/2 = 20 red cards

The number of black cards

1+1 = 2

40/2 = 20 black cards

The ratio of red is to black cards = 20:20 or 20/20 = 1:1 or 1/1

Therefore the ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1

Learn more about ratio here:

https://brainly.com/question/2328454

Help please! if you answer correctly i will give brainliest

Answers

Answer:

lesser x =1

greater x = 3

Step-by-step explanation:

x^2 -4x+3 =0

Factor

What two numbers multiply to -3 and add to -4

-3*-1 = 3

-1+-1 = -4

(x-3)(x-1) =0

Using the zero product property

x-3 =0   x-1 =0

x=3  x=1

Answer:

lesser x = 1

greater x = 3

Step-by-step explanation:

x^2 - 3x - x + 3 = 0

x(x - 3) - 1(x - 3) = 0

= (x - 3)(x - 1) =0

= x = 3, 1

Hope this helps!

Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.

A. quartiles
B. modes
C. medians
D. outliers

Answers

Answer:

The answer is D because outliers are data far away from the main data set.

Answer:

d

Step-by-step explanation:

A jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green marbles. If one marble is randomly selected, what is the probability that it is red or green?

Answers

Answer:

1/2

Step-by-step explanation:

4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green = 18 marbles

P( red or green) = red or green / total

                          = (4+5) / 18

                          = 9/18

                          =1/2

Answer:

50%

Step-by-step explanation:

4 red + 5 green = 9 marbles

total marbles = 18 marbles

9 is 50% of 18

Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.

Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)

Answers

for ed, it should be:

B

C

D

if not, then idk what happened

The equations that represents the amount of one check are:

451.89 minus 3 c = 358.92

358.92 + 3 c = 451.89

358.92 + c + c + c = 451.89

What equation represent the amount of one check?

The equation that represents the amount of one check is:

Total amount in the account - total value of 3 checks = amount left

Total amount in the account - amount left = total value of 3 checks

Value of one check = (total amount in the account - amount left) / 3

$451.89 - 3c = $358.93

$451.89 - $358.93 = 3c

($451.89 - $358.93) / 3

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

Solve the following quadratic equation.
(x - 16)^2 = 256

A. x = -32 and x = 0
B. x = 30 and x = -4
C. x = -30 and x = 4
D. x = 32 and x = 0

Answers

The answer is D. x = 32 and x = 0

Answer: D. x = 32 and x = 0

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

Explanation:

Think of x-16 as y. In other words, let y = x-16

We have (x-16)^2 = 256 become y^2 = 256.

Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.

--------

If y = 16, then y = x-16 solves for x to get

y = x-16

16 = x-16

x-16 = 16

x = 16+16

x = 32 is one solution

---------

Plug in y = -16 and isolate x

y = x-16

x-16 = y

x-16 = -16

x = -16+16

x = 0 is the other solution

----------

We can check each answer by plugging them back into the original equation

Let's try x = 0

(x-16)^2 = 256

(0-16)^2 = 256

(-16)^2 = 256

256 = 256 ... works

Now try x = 32

(x-16)^2 = 256

(32-16)^2 = 256

(16)^2 = 256

256 = 256 ... also works; both answers have been confirmed

Each 6 students reported the number of movies they saw in the past year 18,14,18,14,19,9

Answers

Answer:

Average: Add all and divide by 6

that gives us 92/6 = 15.333... or 15

Median: order it:

9, 14, 14, 18, 18, 19

median is 16

2 averages

Median: 16

Average: 15.33.. or 15

Outlier: 9

find the coordinates of the vertices of the triangle after a reflection across the line y= 3 and then across the line x = -1​

Answers

Answer:  A

Step-by-step explanation:

Reflection across y = 3

The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)

U = (-5, 4) is 1 unit above y = 3

U' = (-5, 2) is 1 unit below y = 3

T = (0, 5) is is 2 units above y = 3

T' = (0, 1) is 2 units below y = 3

S = (-4, 2) is 1 unit below y = 3

S' = (-4, 4) is 1 unit above y = 3

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)

U' = (-5, 2) is 4 units to the left of x = -1

U'' = (3, 2) is 4 units to the right of x = -1

T' = (0, 1) is 1 unit to the right of x = -1

T'' = (-2, 1) is 1 unit to the left of x = -1

S' = (-4, 4) is 3 units to the left of x = -1

S'' = (2, 4) is 3 units to the right of x = -1

Hidaya runs each lap in 8 minutes. She will run less than 72 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.

Answers

Answer:

Step-by-step explanation:

n*8<72

:8     :8

n<72/8

n<9

n could be  1,2,3,4,5,6,7,8

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