The four angles in a quadrilateral are in the ratio 2:5:6:7. Find the smallest angle in the quadrilateral?

Answers

Answer 1

Answer:

36º

Step-by-step explanation:

Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.

2x + 5x + 6x + 7x = 360

20x = 360

x = 18

18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.

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Answer 2

Answer:

36

Step-by-step explanation:

The four angles of a quadrilateral add to 360

2:5:6:7

Multiply by x

2x:5x:6x:7x

Add them together to get 360

2x+5x+6x+7x = 360

20x = 360

Divide each side by 20

20x/20 = 360/20

x =18

The smallest angle is 2x

2*18 = 36


Related Questions

Find the value of k, if (1, -1) is a solution of the equation 3x-ky = 8. Also, find the coordinates of another point lying on its graph.

Answers

K=5
Another point lying on the graph is (6,-2)

How to find value of x on line segment

Answers

Answer:

by going to the x then going straight up or down depending on where your x is on the line graph then go back to the x and go straight across to the number from it then put the y value over x value in Thats your answer simplify if you need to

ATTENTION WILL GIVE BRAINLIEST IF YOU HAVE IT RIGHT, IF YOU DONT PUT A RIGHT ANSWR I WILL REPORT YOU AND BLOCK YOU. 1. Write an expression with (−1) as its base that will produce a positive product, and explain why your answer is valid. 2. Write an expression with (−1) as its base that will produce a negative product, and explain why your answer is valid.

Answers

Answer: -1^0 because any number to the 0 is 1

-1^1 because it stays the same number which is negative

Answer:

Hey there!

For question number 1.

(-1)^2, because this equals (-1)(-1), or 1.

For question number 2.

(-1)^3, becuase this equals (-1)(-1)(-1), or -1.

Let me know if this helps :)

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2))

Answers

Answer: f(g(2))=-7

Step-by-step explanation:

STEP 1. Find g(2)

g(x)=x²-6x-7

g(2)=(2)²-6(2)-7

g(2)=4-12-7

g(2)=-15

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

STEP 2. Find f(g(2))

f(x)=x+8

f(g(2))=g(2)+8

f(-15)=-15+8

f(-15)=-7

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

The Answer is -7 .

Step-by-step explanation:

f(x)= x+8

g(x)= [tex]x^{2}[/tex]-6x-7

Now,

fog(2)=f ([tex]2^{2}[/tex]-6*2-7)

        =f (4-12-7)

        =f (-15)

        =-15+8

        = -7          

which number is the additive verse of -10 1/4

Answers

Answer:

Step-by-step explanation:

An Additive Verse is a pair of numbers whose sum is zero.

Example: the additive Inverse of -5 is +5

Therefore: the Additive Inverse of -10 1/4 would be +10 1/4

can someone help me please

Answers

Answer:

(4x + 5)(x² + 25)

Step-by-step explanation:

Given

4x³ + 5x² + 100x + 125 ( factor the first/second and third/fourth terms )

= x²(4x + 5) + 25(4x + 5) ← factor out (4x + 5) from each term

= (4x + 5)(x² + 25)

Please help! 3. Tim grouped these numbers together.
3
2
8
-101, -6.41, -19,-1,-0.3
3'
What rationale could Tim provide?

Answers

Answer:round up to the Nernst number

Step-by-step explanation:

Hope this helps

Answer:

round up the number

Step-by-step explanation:

Solve for x 11=5x+2-2x

Answers

Answer:

x=3    

11=5x+2-2x

x=3    

Why is it important that the term “locked” is used when making the following statement? You can use a locked compass setting and a straightedge to draw two congruent segments.

Answers

You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.

8+35/w=15
a.8
b.6
c.10
d.5​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]

Option D is the correct option

Step-by-step explanation:

[tex] \sf{8 + \frac{35}{w} = 15}[/tex]

⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }

⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]

Apply cross product property

⇒[tex] \sf{8w + 35 = 15w}[/tex]

Move 15w to left hand side and change it's sign

Similarly, Move 35 to right hand side and change it's sign

⇒[tex] \sf{8w - 15w = - 35}[/tex]

Collect like terms

⇒[tex] \sf{ - 7 w = - 35 }[/tex]

Divide both sides of the equation by -7

⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]

Calculate

⇒[tex] \sf{w = 5}[/tex]

Hope I helped!

Best regards!!

Answer:

w = 5

Step-by-step explanation:

8 + [tex]\frac{35}{w}[/tex] = 15

subtract 8 from both sides

8 +  [tex]\frac{35}{w}[/tex] - 8 = 15 - 8

simplify

[tex]\frac{35}{w}[/tex] = 7

35/7 = w

w = 5

f(x) = = 3x + 10
g(x) = x - 2
Find f(g(5))
9
19
23
-10

Answers

Answer :

Given : f(x) = 3x + 10 and g(x) = x - 2

To Find : f(g(5))

[tex]:\implies\sf\:g(x) = x-2[/tex]

[tex]:\implies\sf\:g(5) = 5-2[/tex]

[tex]:\implies\bf\:g(5) = 3[/tex]

Now,

[tex]:\implies\sf\:f(x)=3x+10[/tex]

[tex]:\implies\sf\:f(g(5))=3x+10[/tex]

[tex]:\implies\sf\:f(3)=3(3)+10[/tex]

[tex]:\implies\sf\:f(3)=9+10[/tex]

[tex]:\implies\boxed{\bf{\blue{f(3)=19}}}[/tex]

Question 13
A train runs 68m, 127m, 208m, 312m, and 535m in five successive minutes after it
starts. For the next five minutes, it runs an average speed of 33 km/h. Find the
total distance covered in ten minutes,
A. 12 km
B. 10 km
C. 4 km
D. none

Answers

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

Check whether the numbers are divisible by 4:
(i) 23408
(ii) 100246
(iii) 34972
(iv)150126
(v) 58724

Answers

Step-by-step explanation:

a no. is divisible by 4 if the last two digits are a mutiple of 4

is divisble because of 08is not divisible because of 46is divisible 72not divisible 26divisible 24Just divide the last two no. by 4 to find the divisibility

Answer:

(i), (iii), (v).

Step-by-step explanation:

If a number is divisible by 4 then its last 2 digits are divisible by 4.

For example 23408 is because 08  is divisible by 4.

simplify 4y+6x-3(x-2y)​

Answers

Answer:

 10y + 3x

Step-by-step explanation:

 (4y + 6x) -  3 • (x - 2y)

Answer:

I think it's 10y+3x

Step-by-step explanation:

I search it up :(

Find the measure of b+d. A. 74 B. 90 C. 32 D. 58

Answers

Answer:

B. 90°

Step-by-step explanation:

Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(b + d) + (32° + 58°) = 180°

b + d + 90° = 180°

b + d = 180° - 90°

b + d = 90°

PLEASE ANSWER FAST
What association does the scatter plot show?
A.Positive nonlinear association
B.Positive linear association
C.No association
D.Negative nonlinear association
E.Negative linear association

Answers

Answer:

Negative nonlinear association

Answer:

D is wrong

Step-by-step explanation:

I followed advice of a person above me and got it wrong on test. I now realise that the only logical and correct answer is C

A box is filled with 2 yellow cards, 4 blue cards, and 12 red cards. A card is chosen at random from the box. What is the probability that the card is not blue? Write your answer as a fraction in simplest form.

Answers

Answer:

7/9

Step-by-step explanation:

Given:

Number of yellow cards=2

Number of red cards=12

Number of blue cards=4

Total number of cards= Number of yellow cards+Number of red cards+Number of blue cards

= 2+4+12=18cards

Probability of a NON-blue card = number of non blue/ total number

where NON-blue= Number of red cards+

Number of yellow cards

= 2+12=14

P(not blue)=

=14/18

7/9

Therefore, probability that the card is not blue is 7/9


At the end of the trading day on April 25, TI closed at $28.84. The previous day it closed at $27.41. Find the net change as a percent rounded to
the nearest hundredth.

Answers

Answer:

27.41

Step-by-step explanation:

Nicole mixes 2 tins of red paint with 3 tins of white. She needs 15 tins of paint altogether. how many tins of red paint does she need Please show calculations

Answers

Answer:

You have:

2 red tins

3 white tins

This equals 5 tins of paint.

If you multiply 5 tins by 3 times it will give you 15 tins of paint.

Now: 2 red tins x 3 = 6 red tins

3 white tins x 3 = 9 white tins

6 red tins + 9 white tins = 15 tins of paint

Answer:

She will need 6 tins of Red paint

Step-by-step explanation:

What is the distance between y = 3x + 9 and y = 3x - 4?

Answers

Answer:

  A.  4.11 units

Step-by-step explanation:

It can be convenient to put one of these equations into general form, then use the formula for the distance from a point to a line.

In general form, the first equation is ...

  3x -y +9 = 0

So, the distance from a point to that line is ...

  ax +by +c = 0 . . . . . . equation of a line

  d = |ax +by +c|/√(a^2+b^2) . . . corresponding distance formula

  d = |3x -y +9|/√(3^2 +(-1)^2)

Using the y-intercept of the other line as the point of interest, we find its distance to the first line to be ...

  d = |3(0) -(-4)+9|/√10 = 13/√10 ≈ 4.11

The distance between the lines is about 4.11 units.

_____

Unless the lines are vertical or horizontal, you know the distance will be less than the difference between the x- or y- intercepts. Here, the y-intercepts are separated by 9-(-4) = 13 units. The x-intercepts are -3 and 4/3, so are separated by 4 1/3 units. Any answer choice larger than 4.33 cannot be correct.

Please help, I am desperate!?! Will name Brainliest!!

Suppose that a spotlight is used for lighting objects at many different distances and that the area A of the light circle produced is related to the distance x to the lighted object by A=0.1x^2.

a. If the spotlight produces 250 lumens of light energy, what function gives the intensity of the light I, (in lumens per square foot) as a function of the distance x in feet from the spotlight to its target?

b. Write and solve equations that match these questions about the light intensity from the spotlight.

i. What is the intensity of light on an object that is 20 feet from the spotlight source?

ii. How far from the spotlight is an object that recieves 100 lumens of light per square foot?

Answers

Answer:

Intensity = 2500/x^2

6.25 lumem

5 Feets

Step-by-step explanation:

Given the following :

Area (A) = 0.1x^2

Intensity, Energy and Area are related by the formular :

Intensity = power / Area

A) If 250 lumens of light energy is produced :

Intensity (I) = 250 / 0.1x^2

Intensity = 2500/x^2

x = distance

B) USING THE EQUATION :

1) What is the intensity of light on an object that is 20 feet from the spotlight source?

x = 20

Intensity = 2500/x^2

Intensity = 2500/20^2

Intensity = 2500/400

Intensity = 6.25 lumen

11) How far from the spotlight is an object that recieves 100 lumens of light per square foot?

Intensity = 100

100 = 2500 / x^2

100x^2 = 2500

x^2 = 2500/ 100

x^2 = 25

x = 5 Feets

Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance from town A to towAn C.

Answers

Answer:

12.53 miles

Step-by-step explanation:

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

The distance from town A to town C would be; 12.53 miles.

What is a numerical expression?

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We are given that Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C.

Therefore,

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

Hence, the distance from town A to town C would be; 12.53 miles.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)= will mark brainliest

Answers

Answer:

[tex]\boxed{\frac{1}{10}}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}+(-\frac{4}{5})\\\\ \frac{9}{10}-\frac{4}{5}\\\\\text{LCM} (10,5): 10\\\\\rightarrow \frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{9}{10} -\frac{8}{10}\\\\\boxed{\frac{1}{10}}[/tex]

Hope this helps.

Which of the folldwing is an irrational number? ​

Answers

Answer:

umm.... what exactly are the numbers?

Answer:

Yea umm what are the numbers..?

Step-by-step explanation:

(WILL GIVE BRAINLIEST!)
Find the distance d(A,B) between points A and B.
A(1,-6); B(1,6)

Answers

Answer:

12

Step-by-step explanation:

Since the x values are the same, we only have to look at the difference between the y values

6 - -6

6+6

12

The distance is 12

Answer:

[tex]\Huge \boxed{12}[/tex]

Step-by-step explanation:

To find the distance between two points, apply the distance formula:

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

Plug in the values.

[tex]d=\sqrt{(1-1)^2+ (6-(-6))^2 }[/tex]

Evaluate.

[tex]d=\sqrt{(0)^2+ (12)^2 }[/tex]

[tex]d=\sqrt{144}[/tex]

[tex]d=12[/tex]

HELP PLEASE HELP ASAP

Answers

Answer:

r=0.30 feet

Step-by-step explanation:

2.6miles = 13728feet

4000=[tex]\pi[/tex]r²13728

4000/[tex]\pi[/tex]13728=r²

.0927=r²

r=0.30454

r=0.30 feet

Solve 15 and 21, will give BRAINLIST!!

Answers

Answer:

Step-by-step explanation:

4/x=2/10

cross multiplication:

4*10=2*x

40=2x

x=40/2=20

w/2 = 4.5/6.8

6.8w=2(4.5)

6.8w=9

w=9/6.8=1.32352941

the answer for 1 is 40/2=20

The endpoints of segment GH are G(-3,0) and H(11,- 4). What is the midpoint of segment
GH?

Answers

Answer:

The answer is ( 4 , - 2)

Step-by-step explanation:

The midpoint M of a line segment can be found by using the formula

[tex] M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

G(-3,0) and H(11,- 4)

Their midpoint is

[tex]M = ( \frac{ - 3 + 11}{2} , \frac{0 - 4}{2} ) \\ = ( \frac{8}{2} , - \frac{4}{2} )[/tex]

We have the final answer as

( 4 , - 2)

Hope this helps you

some whole numbers are irrational numbers true or false and why ?​

Answers

Answer:

False

Step-by-step explanation:

The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.

Answer:

False

Step-by-step explanation:

Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set

What is 27 multiplied by 4,684. Please do not answer in decimals. I need a whole number and a remainder.

Answers

The answer to your question is:
126,468

Answer:

126468 is the result of 27 multiplied by 4684

Other Questions
The product of this number and 10 is equal to the square of this number Janice published a novel. Last month the book sold 1307 copies, earning Janice a total of $1408.4. This month the book sold 1409 copies. How much should Janice expect to receive in royalties this month? Does adding fertilizer affect the growth of a plant what is the last dimension required to measure 3D works of art? Alternative methods exist for the measurement of the pension obligation (liability). Which measure requires the use of future salaries in its computation which surface has most friction Students in a science class placed ice cubes in a cup. They were studying variables that affected how long it takes the ice to melt. Select the variable thatwould most likely NOT affect the time it takes the ice to melt.O Size of cupO Size of ice cubeO Number of studentsO Temperature of the room (2x3)over 2-5 over 2 Which option is an example of capital as a factor of production?A. A tree used to make paperB. An artist painting a pictureC. An industrial assembly lineO D. A government increasing taxes molar mass of acetone(CH3COCH3) In "role cultures" reliable workers follow formal designation of responsibility with utmost respect for regulations and laws. True or False How did Native Americans use European animals such as cattle, horses, and pigs? The existence of conflict has a positive side which can stimulate the following EXCEPT FOR:_________. A) innovation. B) complacency. C) change. D) creativity. 5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the floor d feet from its center. How far from the center of the dome is the height 50 feet? 6. A cab charges $0.10 per mile and a flat fee of $3.00. Write an equation to model the price y of an x-mile-long cab ride. 7. Use the discriminate to determine the number of solutions to the quadratic equation y = 3 x 2 - 4 x + 6. 8. If f ( x ) = 7 x 2 + 5, compute f ( )3 . 9. Write an equation representing the translation of f ( x ) = 7 x + 3 down 4 units. In the IS-LM model, if government spending rises by $1,000 and if the marginal propensity to consumer is equal to 0.90, then equilibrium output will rise by What type of imumity is present at birth? WILL GIVE BRAINIEST THANKS AND 5 STARS FOR CORRECT ANSWER What number am I? I have 3 digits. My first digit is twice the size of my second digit. My second digit is twice the size of my third digit. If you add my digits together, the sum is 14. Which of the following cities was known as the Byzantine Empire's economic and religious center? (5 points) IF YOU DO THIS PROPERLY I WILL BRAINLIST YOU AND GIVE YOU 40 POINTS THAT YOU DON'T HAVE! PLS HURRY!10. Cause and Effect: The direction of flowing water can be changed by building dams. Long before dams were built by humans, beavers build dams for their shelter. Read about beavers and their amazing building skills. Write a research report that discusses how beavers build their dams. Don't forget to cite the sources you used in your research. Select the conjugate acid-base pair(s). a) HI, I b) HCHO2, SO4^2- c) CO3^2-, HCI d) PO4^3-, HPO4^2-