3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK

Answers

Answer 1

Answer:

Equation: 4x + 30 + 2x + 6 = 180

Answer: x = 24

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 deg.

Equation:

4x + 30 + 2x + 6 = 180

Solution:

4x + 30 + 2x + 6 = 180

Add like terms on the left side.

6x + 36 = 180

Subtract 36 from both sides.

6x = 144

x = 24

Answer 2

Answer:

X=24

Step-by-step explanation:

Supplementary angles = 180°

4x+30+2x+6=180

Combine like terms> 4x+2x=6x

Add: 30+6=36

6x+36=180.

Subtract 36 on both sides. > 36-36=0. 180-36=144.

Drop what you have left> 6x   144

Divide by 6. > 6/6= 1. 144/6=24.

X=24


Related Questions

Question
The angles in
triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times
as large as the smallest angle. Find the measures of all three angles.

Answers

9514 1404 393

Answer:

  20°, 120°, 40°

Step-by-step explanation:

Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...

  s + (100+s) +(2s) = 180

  4s = 80 . . . . . . . . . . subtract 100

  s = 20 . . . the smallest angle

  100+s = 120 . . . the largest angle

  2s = 40 . . . the third angle

The angle measures are 20°, 120°, and 40°.  

Maddy has a bag of 36 marbles. The probability of picking green is 1 in 2, the probability of picking red is 1 in 3, and the probability of picking blue is 1 in 9. The only other color in the bag is black. Find the probability of Maddy picking a black marble.

Answers

Answer:  1 in 18

This is the same as writing the fraction 1/18

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

Explanation:

Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.

Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.

So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.

From that, the probability of choosing a black marble is 2/36 = 1/18.

There's a 1 in 18 chance of Maddy picking a black marble.

1/18 = 0.0556 = 5.56% approximately

Which of the following statements must be true

Answers

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C prime D prime is rotated 270 degrees about point B.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?

a translation down and to the right
a translation up and to the right
a 270° rotation about point B'
a 180° rotation about point B'

Answers

Answer:

a 270° rotation about point B'

Answer:

C is correct 270°

Step-by-step explanation:

yuh

HELLLLLLLPPPPPPPPPPPP

Answers

Answer:

250

5:15

true

i already helped you

Answer:

9- 4 hours 30 minutes

10- 250

11- False

who is the president of Uganda​

Answers

Who is the president of Uganda?

Answer: Yoweri Museveni

☆彡Hanna
Yoweri Museveni is the president of Uganda

Write an equation of a line that is parallel to 6x - 2y = -3 and passes through the point (1, 3).

Answers

Answer:

Step-by-step explanation:

hope this video link be helpfull to you

A poll is given, showing 60% are in favor of a new building project.

If 7 people are chosen at random, what is the probability that exactly 5 of them favor the new building project?

Answers

Answer:  0.2612736

Round this value however you need to.

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

Explanation:

n = 7 = sample sizep = 0.60 = probability of someone being in favork = 5 = number of people in favor

We use the binomial distribution here. The formula for that is

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

where the n C k refers to the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

simply replace r with k.

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

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(5) = (7 C 5)*(0.6)^5*(1-0.6)^(7-5)

P(5) = 21*(0.6)^5*(0.4)^(2)

P(5) = 21*0.07776*0.16

P(5) = 0.2612736

This decimal value is exact (meaning there aren't any other digits after that last '6'). Round this value however you need to.

There's roughly a 26.1% chance of getting exactly 5 people to be in favor of the project.

Help me please if you can't don't touch it

Answers

Answer:

The correct answer is A

Step-by-step explanation:

HELPP PLEASEE!!! FIRST ONE TO ANSWER GETS BRAINLEST!!!!
A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box.
4 cm
3 cm
3 cm
cm2

Answers

Answer:

33cm squared

Step-by-step explanation:

Answer:

33cm

Step-by-step explanation:

Which of the following best descifrar the graph shown below?

Answers

Answer: It's B

Step-by-step explanation:

27 exponent x divided by 3 is equal to one divided by 81.​

Answers

27 exponent x/3 = 1/81

we can say exponent as power also

(27 power x) × (3 power -1) = 81 power -1

(3 power 3x) × ( 3 power -1) = 3 power -4

IN MULTIPLICATION WHEN BASES ARE SAME THEN POWERS ARE ADDED

3 power 3x + (-1) = 3 power -4

IN AN EQUATION WHEN BASES ARE EQUAL POWERS ALSO EQUAL

3x +(-1) = -4

3x - 1 = -4

3x = -4 + 1

3x = -3

x = -3/3

x = -1

Answer:

x = -1

Step-by-step explanation:

27 exponent x =  [tex]27^x[/tex]

Divided by 3 =   [tex]\frac{27^x}{3}[/tex]

Is equal to : [tex]\frac{1}{81}[/tex]

Therefore,

         [tex]\frac{27^x}{3} = \frac{1}{81}[/tex]

Cross multiplying :

       [tex]27^x \times 81 = 1 \times 3[/tex]

       [tex]27^x = \frac{3}{81}[/tex]

       [tex]27^x = \frac{1}{27}[/tex]

       [tex]27^x = 27^{-1}[/tex]

         [tex]x = -1[/tex]                     [tex][a^x = a^y => x = y][/tex]

The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent. Do not use commas to separate numbers or dollar signs. For example, $5,678.00 should be entered as 5678.00.

Answers

9514 1404 393

Answer:

  $1409.10

Step-by-step explanation:

The interest is added to the unpaid balance to obtain the total balance.

  $700×1.3% + 1400 = $9.10 +1400 = $1409.10

use the diagram below to find all the missing angles

Answers

Answer: M<1=135     M<2=45      M<3=135      M<4=45

Step-by-step explanation:

Fill in the table of values so that this is a proportional relationship with k=3/2 X. Y. *blank*. 0 2. *blank*. *blank*. 6. -2. *blank*

Answers

Answer:

x => y

0 => 0

2 => 3

4 => 6

-2 => -3

Step-by-step explanation:

The equation of a proportional relationship is represented as y = kx,

where, k = y/x

We are given that k = ³/2

This means that, equation of the relationship therefore would be:

y = ³/2x

Use this equation to solve for each missing value on the table given:

✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:

0 = ³/2x

0 * 2 = 3x

0 = 3x

0/3 = x

x = 0

✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:

y = ³/2(2)

y = 3

✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:

6 = ³/2x

6 * 2 = 3x

12 = 3x

12/3 = x

x = 4

✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:

y = ³/2(-2)

y = -3

the data below shows the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.

51, 64, 71, 56, 53, 68, 53, 49, 70, 33
64, 53, 79, 65, 55, 46, 80, 76, 73, 74

a. Draw an ordered stem and leaf plot for the data. ​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

The oederd data :

33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80

Stem Leaf

3 | 3

4 | 6 9

5 | 1 3 3 3 5 6

6 | 4 4 5 8

7 | 0 1 3 4 6 9

8 | 0

Key :

3 | 3 = 33

Write the numbers in a standard form:

57,900,000

227,900,000

1,427,000,000

Answers

Answer:

madarchud

bhag loudeye bsdk

4. Temperature graphs from two cities on July 1 are shown below. Which statement is true?

O A. City A experienced a bigger temperature change than City B.
O B. City B experienced a bigger temperature change than City A.
O C. The low temperature in City B was lower than the low temperature in City A.
O D. Both B and C are true.

Answers

Answer:

City B experienced a bigger temperature change than City A.

Step-by-step explanation:

From the graph of the temperature given, using visual inspection, we can see how the graph of both cuties change, for city A, the change in temperature, very low as the highest temperature is about 80 and the lowest temperature value is about 76 ;

However. For city B, the highest temperature value is about 100 and the lowest is about 76

Hence, City B experienced a bigger temperature change than A.

For low temperature, the low temperature in city A and B are the same with a value of about 76°

describe the pattern in words ​

Answers

What pattern? Include the pattern please. Thank you.

Words used to describe patterns and arrangements - thesaurus

broken. adjective. a broken pattern or sound has

spaces in it.

candy-striped. adjective. ...

checked. adjective. ...

checkered. adjective. ...

chequered. adjective. ...

chronological. adjective. ...

criss-cross. adjective. ...

dappled. adjective.

Hope my answer helps uh ✌️

If 14 people are shorter than Alice, 12 people are taller than Bob, and 4 people are shorter than Alice and taller than Bob, how many people are there?

Answers

Answer:

THERE IS A LOT OF PEOPLE

answer please answer

Answers

Answer:

4 liters

Step-by-step explanation:

8/2 8 divided by 2 is 4 how do I know this, because if its per apple juice then we have to find out what can get me per apple juice, you just basically had to divde it by its own number

A baseball is "popped" straight up by a batter with an initial velocity of 32 ft/sec. The height of the ball above ground is given by a function where t is time in seconds after the ball leaves the bat and h(t) is the height in feet above the ground. The batter hit the ball at an original height of 4 feet off of the ground, and the acceleration due to gravity is -16ft/se2

Answers

Answer:

The ball reaches the maximum height after 1 seconds

Step-by-step explanation:

Given

[tex]y = -16t^2 + 32t + 4[/tex] --- the function missing from the question

Required

Time to reach maximum height

The time (t) to reach maximum height is calculated using:

[tex]t = -\frac{b}{2a}[/tex]

Where

[tex]y =at^2 + bx + c[/tex]

So, by comparison:

[tex]a = -16[/tex]

[tex]b = 32[/tex]

[tex]c = 4[/tex]

So, we have:

[tex]t = -\frac{b}{2a}[/tex]

[tex]t = -\frac{32}{2*-16}[/tex]

[tex]t = -\frac{32}{-32}[/tex]

[tex]t = \frac{32}{32}[/tex]

[tex]t = 1[/tex]

Chang knows one
sides of this
side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
triangle?
• 5 cm and 8 cm 8

6 cm and 7 cm

7 cm and 2 cm
®
8 cm and 9 cm

Answers

9514 1404 393

Answer:

  (d)  8 cm and 9 cm

Step-by-step explanation:

The sum of the other two side lengths must exceed 13 cm for a triangle to be possible.

  8 cm and 9 cm

the answer is that last one 8cm and 9cm

A vault contains 3000 worth of nickels.
How many nickels are in the vault

Answers

Answer:

600 nickels

Step-by-step explanation:

60,000 nickels are in the vault

$3,000 divided by 0.05 (value of 1 nickel) = 60,000 nickels

Which statement is true?

Answers

Answer:

second 1

Step-by-step explanation:

i literally just had that question

I need to finish this question ASAP
Someone please help!

Answers

Answer:

Step-by-step explanation:

g(r) = 0 ⇒ [tex]r^{2} -2r-17=0[/tex]  ⇒r=[tex]1+3\sqrt{2}[/tex]và r=[tex]1-3\sqrt{2}[/tex]

Every spring the grade four students play the grade five students in softball. The graph shows their scores.
Softball Scores
5
4
Score
2
1
grade 4
grade 5
year 1 year 2 year 3
Year
year 4 year 5
In which year was the difference between the grade four score and the grade five score the greatest?
O A year 1
O B. year 2
Oc. year 3
D. year 4
O E years

Answers

Answer:

B

Step-by-step explanation:

A simple random sample is drawn from a normally distributed population. The value of which of the following will not be known for certain but can be inferred?

Mu
x Overbar
s
n

Answers

Answer:

A

Step-by-step explanation:

edge 2021

The value of which of the mean will not be known for certain but can be inferred is called; Mu(μ)

How to Identify Population Mean?

When dealing with statistics, we have sample mean and population mean.

Sample mean is defined as the arithmetic mean of a random sample values drawn from the population. Meanwhile, Population mean is a mean that represents the actual mean of the whole population.

Sample mean is denoted as x-overbar while population mean is represented as μ.

Read more about Population Mean at; https://brainly.com/question/251701

#SPJ2

mary drinks 24 ounces of juice a day . lena drinks three times as much. how many ounces do they drink together?​

Answers

Answer:

96 oz.

Step-by-step explanation:

Mary drinks 24 ounces a day Lena drinks 3 times a much

24 x 3 = 72

72 + 24 = 96

Answer:

They dinks ounces of juice together = 96 ounces.

Step-by-step explanation:

Given that :-

Mary drinks 24 ounces of juice a day.Lena drinks three times as much.

To find :-

How many ounces do they drink together ?

Solution :-

Mary drinks 24 ounces of juice a day = 24 ounces.

Lena drinks three times much than mary = 3 × 24 ounces = 72 ounces

They drinks ounces together = mary drinks ounces of juice + lena drinks ounces of juice

= 24 ounces + 72 ounces

Hence , They dinks ounces of juice together = 96 ounces.

5-2(3-x)=4x+10

can anyone help me, if i cant give you the brainliest answer i will.

Answers

Answer:

-11/2 = x

Step-by-step explanation:

5-2(3-x)=4x+10

Distribute

5 - 6 +2x = 4x+10

Combine like terms

-1 +2x = 4x+10

Subtract 2x from each side

-1 +2x-2x= 4x-2x+10

-1 = 2x+10

Subtract 10 from each side

-1-10 = 2x+10-10

-11 = 2x

Divide by 2

-11/2 = 2x/2

-11/2 = x

Answer:

See below

Step-by-step explanation:

5 - 2 * (3 - x) = 4x + 10

5 - 6 + 2x = 4x + 10

-2x = 11

x = -5.5

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