what is the measure of EACH exterior angles t
of the polygon shown?​

Answer:

d

Step-by-step explanation:

d is correct 180-43=137

Answer:

D) m<4 = 137

Step-by-step explanation:

m<3 + 56  = 180

m<3 = 124

m<1 + 43 + 56 = 180

m<1 + 99 = 180

m<1 = 81

m<4 + 43 = 180

m<4 = 137

m<2 + <1 = 180

m<2 + 81 = 180

m<2 = 99

Answer:

(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed

Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal

Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions

Step-by-step explanation:

Answer:

80.65% per minute

Step-by-step explanation:

For continous growth :

A = Pe^rt

A = amount after time, t

P = initial amount

r = growth rate

22583 = 4500 * e^r*2

22583 = 4500 * e^2r

22583 / 4500 = e^2r

5.0184444 = e^2r

Take the In of both sides

1.61312 = 2r

r = 1.61312 ÷ 2

r = 0.80656

0.80656 * 100% = 80.65%

Answer:

4

Step-by-step explanation:

Plug in each given value into the expression to see if it is true.

Set given: {2 , 3  , 4}

Equation given: x + 2 = 6

First, plug in 2 for x. When x = 2:

x + 2 = 6

(2) + 2 = 6

4 ≠ 6.

Next, plug in 3 for x. When x = 3:

x + 2 = 6

(3) + 2 =6

5 ≠ 6.

Finally, plug in 4 for x. When x = 4:

x + 2 = 6

(4) + 2 = 6

6 = 6 (True).

In the given set, only 4 complete the equation.

~

Answer:

-9/2

Step-by-step explanation:

-2x-5 = 4

    +5   +5

-2x = 9

------  ------

-2    -2

x = -9/2

Answer:

[tex]x = - \frac{9}{2} [/tex]

Step-by-step explanation:

1) Add 5 to both sides.

[tex] - 2x = 4 + 5[/tex]

2) Simplify 4 + 5 to 9.

[tex] - 2x = 9[/tex]

3) Divide both sides by -2 to get the answer.

[tex]x = - \frac{9}{2} [/tex]

hence, the answer is x = -9/2.

Answer:

See below.

Step-by-step explanation:

We know that

                              tanA + tan B

tan (A + B)     =     ---------------------                       

                               1 - tanAtanB

Substituting for A + B

tan (A + B) = tan pi/4 = 1.

            tanA + tan B

So        ------------------   =    1

             1 - tanAtanB

Therefore   tanA + tan B =   1 - tanAtanB.

Answer:

A

Step-by-step explanation:

You need a value that keeps 79% of the previous value. 79% is 0.79 as a decimal.

You get that by taking 100% of the value and subtracting 21% of the value. Said easier (100% x - 21%x = 79% of x.

r = 0.79

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

Answer:

Least to greatest: 2, 3, 1

Step-by-step explanation:

Square root of 8 over 2 is about 1.41 which makes it the least value

2 is obviously equal to 2 which puts it in the middle

Square root of 7 is about 2.64 which makes it the greatest value

Answer:

-5

Step-by-step explanation:

[tex]\frac{12}{6} + 5 - 4(6) + 12 = -5[/tex]

Have a great day :)

Answer:

If anders flips one coin, he has a 1/2 chance of heads.

if he flips two, he has to get to heads, which the chances are 1/2 and 1/2

So multiply 1/2*1/2

you get 1/4

Answer:

b

Step-by-step explanation:

Answer:

1. 3 1/5

2. 1/4 1/5 1/6 1/7 1/8

3. (a) 32/49 (b) 7/16

4. 11/16

5.(i) 20/35 (ii) 16/28

6. 3/4 is bigger than 2/5 because if you convert then 3/4=15/20 and 2/5=8/20

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

If so, order of operation is coming into play

PEMDAS

P is the parenthesis and E is the exponent..... looks we got a 2 for 1 special solve.

(1/2)4

First

The exponent is 4 which means write

1/2

4 times

1 × 1 × 1 × 1 = 1

2 × 2 × 2 × 2 = 16

So our fraction is 1/16

10 - 1/16 - 48

now we have M D which is multiplication and division what is

1/16 - 48

now we just have 10 - 3

We don't have A ( addition ) so skip it

We do have S ( subtraction )

10 - 3 = 7.

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

Answer:

What is the molarity of this solution is 0.81

Step-by-step explanation:

Answer option B) 0.81.

Answer:  127.795 in^2

Step-by-step explanation:

The area of any triangle is [tex]\frac{1}{2} \cdot \text{base} \cdot \text{height}[/tex][tex]\frac{1}{2} \cdot \text{base} \cdot \text{height}[/tex]

The surface of this pyramid is composed of three slanted triangles and the base.

Area of slanted sides (3 of them):

The base of each is 6.1 -- the sides of the bottom triangle all have the same length.  The height of a slanted side is 12.2 .

Area of one slanted side is .5(6.1)(12.2) = 37.21

There are 3 identical sides, so the area of all 3 is 3 x 37.21 = 111.63 .

Area of the pyramid's base:

The base of that triangle is 6.1, and its height is 5.3, so its area is

.5(6.1)(5.3) = 16.165

The total area of all four faces is 111.63 + 16.165 = 127.795

Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

Answer:

C

Step-by-step explanation:

At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.

For this question, we will be using the process of elimination.

First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.

Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.

Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.

We are left with C, so the answer must be C.

Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.

Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.

The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.

Hence, the correct option is C.

Learn more about Supplementary angle here:

https://brainly.com/question/2882938

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Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

Answer:

Step-by-step explanation:

It can be anything according to your value added tax.

Answer:

Spanish?

Step-by-step explanation:

I speak english