1.
If the measures of three angles of a quadrilateral
are 30, 70, and 110, find the measure of the fourth
angle.

Answers

Answer 1

Answer:

150

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360.  Let x be the unknown angle

30+70+110+x = 360

Combine like terms

210 +x = 360

Subtract 210 from each side

210+x-210 = 360-210

x = 150

Answer 2

Answer:

The measures of the fourth angle is 150 .

Step-by-step explanation:

Given :-

The measures of three angles of quadrilateral are 30 , 70 and 110.

To find :-

Find the measures of fourth angle.

Solution :-

Let, the measures of fourth angle be x.

We know that sum angles of quadrilateral are 360 .

30 + 70 + 110 + x = 360

combine like terms

210 + x = 360

subtract 210 from 360.

x = 360 - 210

x = 150

Therefore, the fourth angle of quadrilateral is 150.


Related Questions

Two angles are supplementary. One angle measures (3x + 2) degrees. The other angle measures twice that amount. What equation could be used to solve for x?

Answers

Answer:

I do not know the equations given but here's my equation and solution:

9x = 174°

x = 19 1/9°

Step-by-step explanation:

(3x + 2) + 2(3x + 2) = 180°

3x + 2 + 6x + 4 = 180°

9x + 6 = 180°

9x = 174°

x = 19 1/9

If my answer is incorrect, pls correct me!

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

-Chetan K

Find the area
76 sq. Meters
60 sq. Meters
30.5 sq. Meters
65 sq. Meters

Answers

Answer:

76 sq. meters

Step-by-step explanation:

10 · 4 = 40m

2 · 6 = 12m

8 · 6 = 48/2 = 24m

40 + 12 + 24 = 76 sq. meters

A bookstore helppppppoo

Answers

30% fewer mysteries means it has 70% of the quantity of science fiction:

Mysteries = 120 x 0.70 = 84

They have 84 mystery books.

They have 25 % more biographies than mysteries:

Multiply the number of mysteries by 1 + 25%:

84 x 1.25 = 105

They have 105 biographies

If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would be less steep than the original graph, and the y-intercept would shift down 2 units. B. The new graph would be less steep than the original graph, and the y-intercept would shift up 3 units. O C. The new graph would be steeper than the original graph, and they intercept would shift down 2 units. D. The new graph would be steeper than the original graph, and the y intercept would shift up 3 units.​

Answers

D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.

The purple line is y=-5x + 2

The pink line is y = -7x + 5

Find the solution of the system of equations.
6x+2y = 16
20 - 2 = 32

HELP PLSSSS

Answers

are there variables in the second equation?

Question 8 of 10
The linearized regression equation for an exponential data set is
log y = 0.23x + 0.8, where x is the number of years and y is the population
What is the predicted population when x - 10? Round your answer to the
nearest whole number.
A. 81,963
B. 200
C. 3
D. 1259

.

Answers

Answer:

log y = 3

Step-by-step explanation:

Substitute 10 for x, obtaining the following:

log y = 0.23(10) + 0.8, or

log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):

log y = 3

hala paid $1,202.17 for the carpet in her living room. The room has an area of 251.5 square feet. what was her unit cost of carpeting in dollars per square foot

Answers

Answer:

4.78

Step-by-step explanation:

1202.17/251.5 = 4.78

4.78 per unit

Answer:

$4.78 per square foot

Step-by-step explanation:

Find the unit cost by dividing the total cost by the number of square feet:

1,202.17/251.5

= 4.78

So, the unit cost is $4.78 per square foot

If you are just given the two points it is the same formula. Find the midpoint between the points (4,-5) and (-4,5)

Answers

mid point =((4+(-4))/2,(-5+5)/2)

=(0,0)

The midpoint between the points (4, -5) and (-4, 5) is (0, 0).

To find the midpoint between two points ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), you can use the midpoint formula:

Midpoint = [tex]((x_1+ x_2)/2, (y_1+ y_2)/2)[/tex]

In this case, the two points are (4, -5) and (-4, 5).

So, the midpoint using the formula:

[tex]x_1[/tex] = 4

[tex]y_1[/tex] = -5

[tex]x_2[/tex]= -4

[tex]y_2[/tex] = 5

Midpoint

= ((4 + (-4)) / 2, (-5 + 5) / 2)

= (0 / 2, 0 / 2)

= (0, 0)

Therefore, the midpoint between the points (4, -5) and (-4, 5) is (0, 0).

Learn more about midpoint here:

https://brainly.com/question/24089949

#SPJ2

What is a statistical error?

Answers

Answer:

Statistical error is the difference between the estimated or approximated value and the true value.  

Two Possible Types of Statistical Error

Type I Errors occur when we reject a null hypothesis that is actually true; the probability of this occurring is denoted by alpha (a).

Type II Errors are when we accept a null hypothesis that is actually false; its probability is called beta (b).

Example

You test whether a new drug intervention can alleviate symptoms of an autoimmune disease.

A Type I error happens when you get false positive results: you conclude that the drug intervention improved symptoms when it actually didn’t. These improvements could have arisen from other random factors or measurement errors.

A Type II error happens when you get false negative results: you conclude that the drug intervention didn’t improve symptoms when it actually did. Your study may have missed key indicators of improvements or attributed any improvements to other factors instead.

The mean score on a driving exam for a group of​ driver's education students is 84 ​points, with a standard deviation of 6 points. Apply​ Chebychev's Theorem to the data using k=2. Interpret the results.

At least _% of the exam scores fall between _ and _.
Simplify your answers.

Answers

Answer:

At least 75% of the exam scores fall between 72 and 96.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

Apply​ Chebychev's Theorem to the data using k=2.

k = 2, so within 2 standard deviations of the mean, interval in which at least 75% of the measures fall.

In this question:

Mean of 84, standard deviation of 6.

84 - 2*6 = 84 - 12 = 72

84 + 2*6 = 84 + 12 = 96

At least 75% of the exam scores fall between 72 and 96.

Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3

1/8
1/4
1/2​

Answers

Answer:

1/2

Step-by-step explanation:

Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers

3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2

Please help me!!
Complete the truth table for the statement A ∧ ~(B ∧ C).

A B C A ∧ ~(B ∧ C)
T T T
?
T T F
?
T F T
?
T F F
?
F T T
?
F T F
?
F F T
?
F F F
?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The desired expression can be expanded to the sum of products form ...

  A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)

It will only be true when A is true and one of B or C is false.

write even number between 10 and 20​

Answers

Not sure what exactly your asking but I think the answer is 12, 14, 16, 18

Solve for y and x

3x+4y=18.50. 5x+8y=14.50

Answers

Answer:

(5/2, 1/4)

Step-by-step explanation:

See Image below:)

A student takes a true-false test consisting of 10 questions. Assuming the student guesses at each question, find the probability that the student gets a 60% on the test.

Answers

No, it would be a 50%

A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.

Answers

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us          [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

5/6 multiples by 10/11

Answers

Answer:

0.757... (recurring)

Step-by-step explanation:

5                 10                     50

_       x         _           =          _

6                 11                       66

50/66 = 0.757...

:D

Answer:

50/66

Step-by-step explanation:

[tex](\frac{5}{6})(\frac{10}{11}) = \frac{50}{66}[/tex]

Have a great day!

Get brainiest if right!!

Mark has 1.5 times more collectible cards than Jacob. If Mark
gives Jacob 11 cards, they will have the same number of
collectible cards. How many cards do they have?

Answers

Answer:

17.5 cards

Step-by-step explanation:

11 x 1.5 = 16.5

16.5 + 11 = 17.5 cards

Answer:

110

Step-by-step explanation:

Let us take Jack cards as x

Then Mark cards will be 1.5 * x

Mark gives 11 cards to Jack...the equation is

1.5 * x  - 11 = x + 11

Adding +11 on both sides

1.5*x -11 + 11 = x + 11 + 11

1.5*x = x + 22

Subtracting x on both sides

1.5*x - x = x + 22 - x

.5*x = 22

x = 22 * 1/.5 = 220/5 = 44

Now go back to the initial equation

Mark >> 1.5  * x = 66

Jack  >> 1 * x = 44

Total >> 110.

Which interval would not be used for the stems of a stem-and-leaf plot?
1
5
10
100

PLEASE HELP 100 IS NOT RIGHT

Answers

Answer:

I JUST DID IT ITS 5.

Answer:

5

Step-by-step explanation:

From a standard deck of 52 cards (containing the spades, diamonds, clubs, and hearts suites), what is the probability that you draw the three of squares?

Answers

Answer:

1/52

Step-by-step explanation:

theres 52 cards and there is only one three of squares so there is a 1/52 chance

Answer:

3/52

Step-by-step explanation:

Find all the zeros of f(x) = 2x - 5x² - 4x + 10.

Answers

Answer:

10

Step-by-step explanation:

Plug in 0 where x is

See image below:)

PLEASE HELP AND IF POSSIBLE WITH SOLOUTIONS PLEASE. VIEW THE PICTURE.

-NO TROLLS PLEASE. IM SICK OF TROLLS.​

Answers

Answer:

A ≈ 26.6° (nearest tenth)

Step-by-step explanation:

The diagram shows a right triangle. To solve for A, we would apply trigonometric ratio formula.

Reference angle = <A

Opposite = 6 m

Adjacent = 12 m

Apply TOA

Tan A = Opp/Adj

Substitute

Tan A = 6/12

Tan A = 0.5

A = [tex] Tan^{-1}(0.5) [/tex]

A ≈ 26.6° (nearest tenth)

Help with those math probelm please

Answers

Answer:

170 books

Step-by-step explanation:

Each book equals 10 books. So 17x10 equals your answer! (170)

Good luck to you!

f(x) = 2x3 + 5x^2 - 6x - 7
g(x) = 2x - 3
Find (f - g)(x).

Answers

9514 1404 393

Answer:

  (f-g)(x) = 2x^3 +5x^2 -8x -4

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x)

  (f -g)(x) = (2x^3 +5x^2 -6x -7) -(2x -3) = 2x^3 +5x^2 -6x -7 -2x +3

  (f -g)(x) = 2x^3 +5x^2 -8x -4

I NEED IT FASSSTTTTTT

Answers

Answer:

1/3 & option 1

Step-by-step explanation:

24) you are given the angle of red, and a circle is 360 degrees in all so:

red/full circle = 120/360 = 1/3

8) option 1 = a^2 + b^2 = c^2

Answer:

24)1/3

8)option 1

Step-by-step explanation:

1○=360°

120°/360°=1/3

a2+b2+=c2

In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А​

Answers

Given:

Consider the below figure attached with this question.

In circle A below, chord BC and diameter DAE intersect at F.

The arc CD = 46° and arc BE = 78°.

To find:

The measure of angle BFE.

Solution:

According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.

Using intersecting chords theorem, we get

[tex]m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))[/tex]

[tex]m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)[/tex]

[tex]m\angle BFE=\dfrac{1}{2}(124^\circ)[/tex]

[tex]m\angle BFE=62^\circ[/tex]

Therefore, the measure of angle BFE is 62°.

Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,
4,5, 3, 8, 8, 5. Where does a gap occur?

Answers

The gap consists of the values 6 and 7.

Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.

Answer:

The gap is present around 6 & 7

Step-by-step explanation:

Since there is no evidence of dots above 6 & 7, there must have been a freeze in data around then, called a gap.

Help me plzzz , if u help me I flippin love u yoooooooooooooooooooooooooooooooooooooo:)

Answers

Answer:

7 solutions

Step-by-step explanation:

A store sold 26 sweatshirts. White ones cost ​$10.95 and yellow ones cost ​$11.50. If $290.75 worth of sweatshirts were​ sold, how many of each were​ sold?
x+y=__
$__x+$__y=$290.75

Answers

I think it might be
x+y= $290.75
$10.95x+$11.50y=$290.75

Answer:

15 white shirts and 11 yellow shirts were sold.

Step-by-step explanation:

15 × 10.95=164.25

11 × 11.50=126.5

126.5+164.24=290.75

What is A number divided by 82

Answers

Answer:

Hey there, Lets solve this step by step.  

A number t divided by 82  

Let the number be represented by y.  

t divided by 82 = t / 8  

Therefore-  

 

In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.

Step-by-step explanation:

A number divided by 82 is 8
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