Find the measure of the exterior angle.

Find The Measure Of The Exterior Angle.

Answers

Answer 1

Answer:

Option (C)

Step-by-step explanation:

By the property of an exterior angle,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

(15x + 34)° = 29° + (12x + 26)°

15x + 34 = 29 + 12x + 26

15x - 12x = 55 - 34

3x = 21

x = 7

Measure of exterior angle = (15x + 34)°

                                           = 15(7) + 34

                                           = 105 + 34

                                           = 139°

Option (C) is the answer.

Find The Measure Of The Exterior Angle.

Related Questions

Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.

Answers

Answer:

D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

Step-by-step explanation:

We have probability of having damaged apple = 13%

= 13/100

= 0.13

Sample size n = 10

Using the binomial distribution

P(X=x) = nCx * P^x(1-P)^n-x

Probability sample will have at least one damaged apple

= P(X>=1) = 1-p(x<1)

= 1 - P(X=0)

= 1-(10C0 *P⁰(1-0.13)¹⁰

= 1 - 1(1-0.13)¹⁰

= 1 - 0.87¹⁰

= 1 - 0.2484

= 0.7516

The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k
Answer: y =

Answers

Answer:

y = (x - 4)² - 4

Step-by-step explanation:

y = x² - 8x + 12

y = ( x² - 2(4)x + 4² ) - 4² + 12

y = (x - 4)² - 4

(PLEASE HELP)James tosses a coin 50 times. It lands on heads 23 times and on tails 27 times.
What is the relative frequency of the coin landing on heads in this experiment?

A 23%

B 46%

C 50%

D 54%

Answers

Answer:

b

Step-by-step explanation:

True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events​

Answers

Answer: The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. The answer to this question is TRUE

Step-by-step explanation:

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

What is the difference between change in quantity and change in quantity demanded? ​

Answers

A change in demand means that the entire demand curve shifts either left or right. A change in quantity demanded refers to a movement along the demand curve, which is caused only by a chance in price.



what is 47 ÷ 12 1/3 =​

Answers

Answer: 47/363

(Decimal: 0.129477)

A school has to select one student to take part in a General Knowledge Quiz.Kelly and Rory took part in six trial quizzes. The following lists show their scores.Kelly 28 24 21 27 24 26Rory 33 19 16 32 34 18Kelly had a mean score of 25 with a range of 7.(a) Calculate Rory's mean score and range.(b) Which student would you choose to represent the school? Explain thereason for your choice, referring to the mean scores and ranges.​

Answers

Four apart



Hope this helps

Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?

Answers

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches

Answers

Answer: D 120 square inches

M=2 can some one help me I need to evaluate the expression it says hint substitute m for 2

Answers

Answer:

LOL I NEED POINTS SORRY NOT SORRY

Step-by-step explanation:

The measure of an angle is 165. What is the measure of its complementary angle?

Answers

Answer:

15

Step-by-step explanation:

What is the CONSTANT in the expression 3k + 12?

Answers

Answer: 12

Step-by-step explanation:

The constant of the expression is 12.

What is a constant?

'A constant is a value or number that never changes in expression that is it's constantly the same.'

According to the given problem,

In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.

If k = 1, the value of the expression is (3 × 1) + 12 = 15

  k =2, the value is (3 × 2) + 12 = 18

But we can see that no matter the value of k is, the expression has to be added with 12.

Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.

Learn more about constant here:

https://brainly.com/question/18650947

#SPJ2

A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.

Answers

Answer is in the file below

cutt.us/brainly

A=352in2

A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²

Select the improper fraction that is not equivalent to the whole number 6

18/3
6/1
54/3
54/9

Answers

the one not equivalent to 6 as a whole is 54/3 as that equals 18.

Answer:

54/3=18

Step-by-step explanation:

18/3=6

6/1=6

54/9=6

Please help me ASAP
WILL MARK BRAINLY

3. When using the vertical method to multiply polynomials, your like terms must be lined up in what
rows
columns
descending order
ascending order

Answers

Answer:

column

Step-by-step explanation:

hope it will help you

Answer:

B. Columns

Step-by-step explanation:


9 m
c) radius =
diameter =

Answers

Answer:

radius is 9 m and diameter is 2 x9 = 18

HELP ME NOW PLEASE!!!!!
The question says "State the coordinates of Point G after a rotation of 90 degrees clockwise followed by a dilation with scale factor 2." The coordinates are G(4.5, 3).

Answers

Answer:

Hiiiiiiiiiiiii Picture pls?

Step-by-step explanation:

:))

Please help I will give brainliest

Answers

it will become a square of 5x8 so answer is 40

A cube has an edge length of 12 meters. What is its volume, in cubic meters?
meters
3

Answers

Answer:

1728

Step-by-step explanation:

if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.

I need help with this

Answers

Answer:

1/5

Step-by-step explanation:

because u divied

i
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys
and how many girls are in the class?
4 more girls; 9 for every 13
There are
boys and
girls in the class.

Answers

Answer:

Maybe they are all 13s th am sure

URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??

Answers

Answer:

493g.

Step-by-step explanation:

Angles L and M are complementary. If m∠L = (x + 2)° and m∠M = (x – 6)°,
what is the value of x?

Answers

Answer: 47°

Step-by-step explanation:

(x + 2)° + (x - 6)° = 90°

x + 2 + x - 6 = 90

2x - 4 = 90

2x - 4 + 4 = 90 + 4

2x = 94

[tex]\frac{2x}{2} = \frac{94}{2}[/tex]

x = 47°

10
HH
0 1 2 3 4 5 6 7 8 9 10
How would you describe the shape of the data in the dot plot below?
(5 Points)
bell shape
uniform distribution
skewed right
skewed left

Answers

Answer:

skewed left

Step-by-step explanation:

please answer!!!! will give brainliest

Answers

Answer:

8

Step-by-step explanation:

Hello There!

The median is the middle number of the set

So the first thing we want to do is put the numbers in order from greatest to least

0, 3, 4, 8, 10, 15, 20

Then we go to the middle number

The middle number is 8 so the answer is 8

Answer:

Im pretty sure its 10

AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8

Answers

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

How many solutions does the system of equations have?

a. no solution
b. one solution x=0, y=5
c. One solution x=1, y=4
d. Infinitely many solutions

Answers

Answer:

one solution at x=1,y=4 point

Answer is =c due to the one solution

Please need help thank

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

It has the most x's (rolls) compared to the other numbers rolled.

Omar wants to determine cos(- (2pi)/3) using the ratios of the 30 degrees - 60 degrees - 90 degrees right triangle . How shoulc he use this information to determine cos(- (2pi)/7)

Answers

Answer:

its D

Step-by-step explanation:

The right angle triangle with 30-60-90 degrees is the special triangle in which these angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and  2. The value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.

Given information-

Omar wants to determine the  value of

[tex] \cos\dfrac{(-2\pi)}{3} [/tex]

As the degree is in the pi form. Use the conversion rate [tex]\dfrac{180}{\pi} [/tex] to convert the degree,

[tex]=\dfrac{(-2\pi)}{3} \times\dfrac{180}{\pi} [/tex]

[tex]=-120[/tex]

As the angle -120 degrees is in the third quadrant hence the reference angle is 60 degrees(by calculating as (180-theta).

30-60-90 triangle

Now the right angle triangle with 30-60-90 degrees measure angle. Such angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and  2.

Here 2 is the hypotenuse of the right triangle. The side opposite to the angle measure [tex]\sqrt{3} [/tex] and the side adjacent to the angle measures 1 in ratio.

Now the cos theta is the ratio of the adjacent side and hypotenuse thus,

[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]

Negative sign is used for the third quadrant where x axis is negative.

[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]

Thus the value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.

Learn more about the trigonometry here;

https://brainly.com/question/24236629

2800cm cubed into litres

Answers

Answer: 2.8 liters

Please mark as brainliest

Step-by-step explanation

divide by the volume of 1,000

2,800 divided by 1,000 is 2.8 so it is 2.8 liters

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