Mathematics College

There is an error in the diagram. Choose the statement that best describes what is wrong.
A. The exterior angle of a triangle cannot be obtuse.

B. The exterior angle of a triangle must be greater than each remote interior angle.

C. The exterior angle of a triangle must be greater than all of the interior angles of the triangle.

D. The exterior angle of a triangle must be equal to a remote interior angle of the triangle.

Answers

Answer 1

Answer:

the first one is right and other are wrong

Related Questions

Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.

Answers

Answer:

Your answer is y-2=4/3(x-7)

Step-by-step explanation:

Answer:

y-2=4/3(x-7)

Step-by-step explanation:

An 80-member committee voted on whether to send a certain bill to the governing board. One-fourth voted in favor, 2/5 voted against, and the rest abstained. How many abstained?

Answers

Answer:

Let's understand the concept:-Here the committee consists of 80membersFor finding the abstained we need to find first How many voted in favour and in against Required Answer :-

The number of members =80

One fourth voted in favour So first find how many voted in favour

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac{1}{{\bcancel {4}}}}×{\bcancel {80}} [/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 20[/tex]

20 members voted in favour Again two fifth voted against Find how many voted against

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {2}{5}}×80 [/tex]

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {160}{5}}[/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 32 [/tex]

32 members voted against Now ,Rest members stayed abstained So we need to substract all voted members from the whole committee to get rest

[tex]{:}\longmapsto [/tex][tex]\sf 80-(32+20)[/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 80-52 [/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 28 [/tex]

[tex]\therefore[/tex] 28 members stay abstained.

IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally distributed with a mean of 95 and a standard deviation of 18. Find the approximate number of people in the country (assuming a total population of 323,000,000) with an IQ higher than 126. (Round your answer to the nearest hundred thousand.)

Answers

Answer:

13,797,339 people

Step-by-step explanation:

Given that μ = 95 and σ = 18

The total number of population is N = 323,000,000

Now, we calculate the probability that IQ is higher than 126

P(X>126) = 1 - P[Z ≤ 126 - 95 / 18]

P(X>126) = 1 - P[Z ≤ 1.72]

P(X>126) = 1 - [ NORMSDIST(1.72)] Using MS Excel

P(X>126) = 1 - 0.957283779

P(X>126) = 0.042716221

Hence, the required probability is 0.042716221

Now, we calculate the approximate number of people in the county with an IQ higher than 126

Number of people = P(X>128) * N

Number of people = 0.042716221 * 323,000,000

Number of people = 13797339.383

Number of people = 13,797,339

Therefore, the approximate number of people in the country with an IQ higher than 126 is 13,797,339 in population

There are 13800000 people in the country with an IQ higher than 126

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 95, σ = 18;

For x > 126:

[tex]z=\frac{126-95}{18} =1.72[/tex]

From the normal distribution table, P(z > 1.72) = 1 - P(z < 1.72) = 1 - 0.9573 = 0.0427

For a total population of 323,000,000:

Number of people in the country = 0.0427 * 323,000,000 = 13800000

Hence there are 13800000 people in the country with an IQ higher than 126

Find out more at: https://brainly.com/question/15016913

URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

Step-by-step explanation:

Jus replace x with 3 and put it in a calculator.

The answer is 41 because x = 3

help me i’m stuck on thus question

Answers

Answer:

2•8n•8n•8n•8n

Step-by-step explanation:

8n is it's own separate number so the other three would not work

The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the cable.

Answers

Answer:

The linear velocity of the cable ≅ 327 feet per minute.

Step-by-step explanation:

Given that the diameter of the drum = 8 feet

Radius of the drum = [tex]\frac{diameter}{2}[/tex]

= [tex]\frac{8}{2}[/tex]

= 4 feet

Radius of the drum = 4 feet

1 revolution = circumference of the drum

circumference of the drum = 2[tex]\pi[/tex]r

where r is the radius.

So that;

circumference of the drum = 2 x [tex]\frac{22}{7}[/tex] x 4

= [tex]\frac{176}{7}[/tex]

= 25.143

circumference of the drum = 25.143 feet

The linear velocity of the cable = (13 x 25.143) feet per minute

= 326.859 feet per minute

The linear velocity of the cable ≅ 327 feet per minute.

A movie theater sold 1,096 tickets on Friday. On Saturday, it sold 4 times as many tickets as on Friday. How many tickets did the movie theater sell on Saturday? A. 4,096 B. 4,364 C. 4,384 D. 4,416

Answers

Answer:C.4,384

Step-by-step explanation:

1,096 × 4 = 4,384

This is why the answer is C.4,384.

True or false:
FGH is a right triangle

Answers

Answer:

False

Step-by-step explanation:

Suppose |FG| is hypotenuse

the sum of square length of side legs must be equal to square of hypotenuse

(√63)^2 + 6^2 = 10^2

63 + 36 = 100

99 is not equal to 100 therefore the given triangle is not a right triangle.

A camera has listed a price of $687.99 before tax. If the sales tax rate is 9.25% find the total cost of the camera with sales tax

Answers

Answer:

$ 751.63

Step-by-step explanation:

1) To find 9.25% of $687.99, multiply both of them. 687.99 x 0.0925 = 63.64

2) Add the previous number to the original price of the camera, 687.99 + 63.64 = $751.63

Answer:

Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Step-by-step explanation:

what are the first four multiples of the number 6

Answers

Answer:

6,12,18,24

Step-by-step explanation:

Find the mean for the scores 3860,5300,8560,4,200,5360

Answers

Answer:

The mean is 5444

Step-by-step explanation:

Hope this helps!

Answer:

add and divide for the mean

Step-by-step explanation:

3860 + 5300 + 8560 + 4200 + 5360 = 27280

27280 ÷ 5 = 5456

Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.

Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)

Given the rotation in the image below, solve for the values of x and y,

HELPPPP

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

Since, rotation of a figure is a rigid transformation.

In a rigid transformation shape and size of the figure remains unchanged, that means image and pre-image are always congruent.

By the property of congruent triangles,

x = 5

3y = x + 7

3y = 5 + 7

3y = 12

y = 4

I NEED HELP ASAP WITH THIS QUESTION

Answers

Answer:

A: mean and mode

B: mean

C: median and mode

D: median is greater

Step-by-step explanation:

im not so sure about the answer for a bit I hope this helped you a bit.

A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

26.4%

Step-by-step explanation:

PLS GIVE BRAINLIEST

The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.

The probability of selecting a black pair of socks first is:

probability = (number of black pairs)/(total number of pairs)

= 8/17

Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.

The probability of selecting a blue or white pair of socks second is:

probability = (number of blue and white pairs)/(number of remaining pairs)

= 9/16

Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:

probability = (8/17)*(9/16)

= 27/136

To learn more about probability here:

https://brainly.com/question/32117953

#SPJ2

A potting mixture contains 12.0% peat moss and 6.00% vermiculite. How much peat moss and how much vermiculite must be added to 100lb of this mixture to produce a new mixture having 15.0% peat and 15.0% vermiculite?

Answers

Answer:

Answer is 3% more peat and 9% more vermiculite.

Step-by-step explanation:

The weight of the initial potting mixture is not given, but the percentage amounts of peat moss & vermiculite are given.

The weight of the new potting mixture is 100lb.

For the new mixture to have 15% peat and 15% vermiculite,

The amount of peat that must be added is 3% of the peat in the initial mixture.

Hint: subtract 12 from 15. Retain the percentage sign.

The amount of vermiculite that must be added is 9% of the vermiculite in the initial mixture.

Hint: subtract 6 from 15. Retain the percentage sign, as that is the scale of measurement here.

1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the farm?

2. A box has a volume of (x³ + 12x²+ 47x + 60) cu. cm. If it is (x + 3) cm high, what is the product its width and length?

3. The base of a parallelogram is(f-2) cm. If its area is (f³-8) cm², find an expression for the height of the parallelogram.4. Any wants to paint the wall of his room for renovation. If the area of the wall is (3x³- 4x² + 2x + 4) m² and a paint can cover (x²- 2x + 2) m², how many cans of paint will he use to paint the whole wall?

5. A rectangular garden in a backyard has an area of (x² + 5x - 6) square meters. Its width is (x + 2) meters. What is the length of the garden?

I need the solution with the answer thank youuu

Answers

Step-by-step explanation:

1. A = lw

l = A/wl = (x²+7x +12) / (x + 3) = (x + 4)(x + 3)/(x + 3) = x + 4 m

2. V = lwh

lw = V/hlw = (x³ + 12x²+ 47x + 60) / (x + 3) = (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) = (x + 3)(x² + 9x + 20) / (x + 3) = x² + 9x + 20 cm²

3. A = bh

h = A/bh = (f³-8) / (f-2) =(f - 2)(f² + 2f + 4)/(f-2) =f² + 2f + 4 cm

4. A = p*c

c = A/pc = (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =(3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =(x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =3x + 2 cans

5. A = lw

l = A/wl = (x² + 5x - 6)/(x + 2) =(x - 1)(x + 6)/(x + 2) m

A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.

Answers

20x+310
310 Is the length times width of the playground and 20x is letting x represent the length of the sports field.

Answer:

20x + 310

Step-by-step explanation:

step 2 is 20(x + 15.5)

HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7)
y−4=2/5(x−7)

Answers

Answer:

y + 7 = 2/5 (x + 4)

Step-by-step explanation:

(I hope 25 is 2/5)

The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)

Step-by-step explanation:

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helppppppopooppopppppp

A labtop has ablisted price of $739.98 befire tax. If the sales tax rate is 8.75%, find the total cost of the labtop with sales tax included.

Answers

The total was 804.73 pretty sure

I need help please Will mark brainliest. Thank you

Answers

I believe this means y=13

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