What is the measure of ∠A, the exterior angle of the triangle shown below?


F. m∠A = 92°, because 180 – (50 + 38) = 92.

G. m∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.m∠A=78°,because 50–38=12and90–12=78.

J. m∠A = 88°, because 50 + 38 = 88.

Answer:

Step-by-step explanation:

This is quite and easy one, but also vague at the same time.

A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides

In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.

A heptagon also gives us a 7 + 3 polygon, in decagon.

All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.

Answer:

14.89

Step-by-step explanation:

Finding the confidence interval, it is found that the percentages of residents that may favor replacing the equipment is be given by:

B. 54%.

The interval is given by the estimate plus/minus the margin of error. The range is twice the margin of error.

In this problem, we have that:

Hence the interval is given by:

(61% - 9%, 61% + 9%) = (52%, 70%).

Each of the values in the interval can be the percentage, hence option B is correct.

More can be learned about confidence intervals at https://brainly.com/question/15712887

#SPJ1

Answer:

BD = 12.5

Step-by-step explanation:

Full answer in the attachment!!

Answer:

Interest rate = 2.41%

Step-by-step explanation:

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.

The formula to calculate the Interest rate for a Compound Interest is given as:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 12 × [(305.33/240.00)^1/(12)(10) - 1]

r = 0.0240996

Then convert r to R as a percentage

R = r * 100

R = 0.0240996 * 100

R = 2.41%/year

Therefore, the Interest rate = 2.41%

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

Answer:

1/1

1.0

100%

Step-by-step explanation:

Answer:

9/9 is the same as 1

Step-by-step explanation:

9/9 = 1/1

= 1.0

= 1

= 100%

Answer: b

Step-by-step explanation: times the # teachers by 20

Answer:

3g -13

Step-by-step explanation:

Answer:

13.7477270849 to 19.7230829233.

Step-by-step explanation:

1. Using the pythagorean theorem, a²+b²=c², we try different combinations of given lengths 10 and 17.

2. If 10 and 17 are legs and 10²+17²=√389 = 19.7230829233, then c=19.7230829233.

3. If 10 is a leg and 17 is a hypotenuse,

10²+b²=17²

100+b²=289

b²=189

b=13.7477270849

4. The case of 17 is a leg and 10 is a hypotenuse is not possible because the hypotenuse is the longest side.

5. The range of the length of the 3rd side is 13.7477270849 to 19.7230829233.

Answer:

circumference:

2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)

Answer:

C

Step-by-step explanation:

Well to do this we can eliminate answers that seem unreasonable and just calculate the ones we think might be it

We know it can't be the first one or the second since its perimeter isn't 32

It could be the third one so we can check the perimeter

3+3+16+16=38

so it is the third one

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

Answer:

[tex]\displaystyle [x + 3][11x + 2][/tex]

Step-by-step explanation:

[tex]\displaystyle 11x^2 + 35x + 6 \\ [11x^2 + 2x] + [33x + 6] \\ x[11x + 2]\:\:\:\:\:3[11x + 2] \\ \\ \boxed{[x + 3][11x + 2]}[/tex]

I am joyous to assist you at any time.

Answer: i took the test

Step-by-step explanation:

Answer:

(6,-4)

Step-by-step explanation:

when you have (x,y) and you want to rotate it 90 degrees, you would switch the x and the y and then make the x negative. So (4,6) would switch to (6,4) and then the 4 would become negative.

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

[tex]\frac{5}{25}[/tex] = [tex]\frac{1}{5}[/tex] and [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{1}{5}[/tex]

There is a common ratio r = [tex]\frac{1}{5}[/tex] , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric

Answer:

I think 7

Step-by-step explanation:

84 divided by 12 is 7

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

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:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

y = -1/4x -1

Step-by-step explanation:

Mathematically, we have the slope intercept form as;

y = mx + b

where m is the slope and b is the y-intercept

from the question;

m is -1/4

So we have :

y = -1/4x + b

To get the value of b, we substitute the coordinates given and solve for b

Firstly, multiply through by 4

That will

give ;

4y = -x + 4b

4(-4) = -12 + 4b

-16 = -12 + 4b

-16 + 12 = 4b

4b = -4

b = -4/4

b = -1

So the equation in the slope intercept form is;

y = -1/4x -1

Answer:

48

Step-by-step explanation:

Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48

Answer: 50

Step-by-step explanation:

let me just stop to think

Answer:

12

Step-by-step explanation:

192/16=12

Answer:

There are 70 trucks

Step-by-step explanation:

trucks : cars:  

5            8      

Take 112 cars and divide by 8 cars

112/8 =14

We need to multiply each number by 14

trucks : cars:  

5*14            8*14

70                112

There are 70 trucks

Answer:

It's not true because 18 cups will only last 12 days, not 27 days.

Step-by-step explanation:

1 1/2 = 3/2

3/2(27) = 40.5 cups

18 = 3/2c

c = 12

Answer:

-5

Step-by-step explanation:

Answer:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un

sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal. Una solución de un sistema es una asignación de valores para las incógnitas que hace

verdadera cada una de las ecuaciones. Resolver un sistema signifi ca hallar todas las soluciones del sistema.

Step-by-step explanation: