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1° and 14° are acute angles.  

An acute angle is one that is less than 90°, or one that is between 0° and 90°.  

The opposite of an acute angle is an obtuse angle. In other terms, an obtuse angle is one that is larger than 90° and less than 180°. It is the angle that is between 90° and 180°.

90° is the standard for a right angle. Any angle that is less than 90° is called acute, and any angle that is larger than 90° is called obtuse.

∠1 and ∠14 are less than 90° therefore, they are acute angles.

Correct question :

What type of angle are 1° and 14°?

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In the absence of ATC restriction on climb or descent, and aircraft are within 1,000 feet of assigned altitude. pilots should attempt to both climb and descend at a rate of between 500 fpm and 15000 fpm. (Option A)

An Air Traffic Controller (ATC) clearance refers to an authorization by ATC for the purpose of preventing known aircraft collision. The rate of climb or descend expected by ATV is when an aircraft is within 1000 feet of assigned altitude, descend, or climb at an optimum rate consistent with the operating characteristics of the aircraft to 1,000 feet above or below the assigned altitude, and then attempt to descend or climb at a rate of between 500 and 1,500 fpm until the assigned altitude is reached.

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Answer:

92

Step-by-step explanation:

  1

 46

x  2

 92

We want to create a real-life reasonable problem in which we can apply the laws of exponents.

Using a compound interest example;

Word Problem:

Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.

Solving the word problem;

We have the following parameters;

Recall that the formula for compound interest is;

Substituting the given values;

Therefore, the solution to the problem is;

The final

The theorem that justifies that the pair of triangles are congruent is: AAS.

The AAS is known as the angle-angle-side congruence theorem, which justifies why two triangles that have a pair of non-included congruent side and two pairs of corresponding congruent sides.

The diagram shows that the two triangles have two corresponding congruent angels that are marked, and they share a common side, which means they have a pair of non-included congruent sides.

This goes to show that the criterion for proving that the two triangles are congruent by the AAS are already given and known.

Therefore, the triangles are congruent to each other by the AAS congruence theorem.

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Answer:Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation? segment EG ≅ segment E prime G prime. The slope of segment EF is the same as the slope of segment E prime H prime.

Step-by-step explanation:

Least number (sample size) of viewers that should be randomly selected to ensure that a 95% confidence interval for the true proportion of viewers will have a width of 0.06 or less is 225.

E = 0.06,

P = 0.30

c= 95%

& = 1 - 0. 95

To x/2 = 0-025

21096*/ 2 = 0-025

Margin of error

P ( 1 - P )

To ac / 2 ) 2 P ( 1 - P )

E= ( 1. 96* 0 . 30 x ( 1 - 0 - 30 )0-06

=224.09 ~ 225

round to next number

225

In order to guarantee that a 95% confidence interval for the true proportion of viewers would have a width of 0.06 or less, the minimum number of viewers (sample size) that should be chosen at random is 225.

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The simplest form of the expression as we have it is; (-4x^4z^2)(2xy^3z^2)

When we are asked to simplify, what we are asked to do is to write the expression that we have in a form that is simplest. That is, we should put the expression in a form that there would not be any simpler presentation of the expression.

We have;

(-2x^2z)^2(2xy^3z^2)

Then we now have to deal with the exponent outside the bracket;

(-4x^4z^2)(2xy^3z^2)

Thus, we now have the expression in the simplest form that it can take and it can not be further broken down.

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Answer:

t < 23

Step-by-step explanation:

t - 2 < 21

Step 1 : Add 2 on both sides.

t - 2 + 2 < 21 + 2

t < 23

Explanation

Step 1

Let

c represent the original price

if the boutiques quadruples the price of the items it purchases for resale.​then

400 percent

Step 2

expressions

4c and 400%c

I hope this helps you

Answer:

Step-by-step explanation:

If the mean weight of 3 outfielders on the baseball team is 194 lb and the mean weight of the 6 other players is 229 ​lb, what is the mean weight of the 9

The diagonals of a rectangle are congruent, so RT = SU, that is

3x + 8 = 6x - 4 (subtract 4x from both sides)

3x + 8 = 6x - 4

Subtract 8 from both sides 3x + 8 - 8 = 6x - 4 - 8

Simplifying the above equation, we get

3x = 6x-12

Subtract 6x from both sides 3x - 6x = 6x - 12 - 6x

Simplifying the above equation, we get

-3x = -12

Divide both sides by -3

[tex]$\frac{-3 x}{-3}=\frac{-12}{-3}[/tex]

x = 4

Then, R T= 3x + 8 = 3(4) + 8 = 20

The diagonals bisect each other, then

RV = 0.5 × 20 = 10

∠ RVU = ∠ SVT = 54° ( vertical angles)

RV = UV ( diagonals are congruent and bisect each other)

Then Δ RVU is isosceles with base angles congruent, then

∠ VUR =[tex]$\frac{180-48}{2}[/tex] = 66°.

In the rectangle, RV = 3x+8, SV = 6x-4, and ∠ VRS = 54° then the value of x is 4 and ∠ VUR is 66°.

The diagonals of a rectangle are congruent, so RT = SU, that is

3x + 8 = 6x - 4 (subtract 4x from both sides)

3x + 8 = 6x - 4

Subtract 8 from both sides 3x + 8 - 8 = 6x - 4 - 8

Simplifying the above equation, we get

3x = 6x-12

Subtract 6x from both sides 3x - 6x = 6x - 12 - 6x

Simplifying the above equation, we get

-3x = -12

Divide both sides by -3

[tex]$\frac{-3 x}{-3}=\frac{-12}{-3}[/tex]

x = 4

Then, R T= 3x + 8 = 3(4) + 8 = 20

The diagonals bisect each other, then

RV = 0.5 × 20 = 10

∠ RVU = ∠ SVT = 54° ( vertical angles)

RV = UV ( diagonals are congruent and bisect each other)

Then Δ RVU is isosceles with base angles congruent, then

∠ VUR =[tex]$\frac{180-48}{2}[/tex] = 66°.

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Answer:

it should be the variable divided by 1. For example, x/2.

Answer:

0.1

Step-by-step explanation:

chance of pulling out a blue marble can be described as 8 equally probable outcomes (blue marbles) out of 20 equally probable outcomes (all marbles).

Similarly, the chance of pulling out a green marble is 5 out of 20.

In total, we have 8*5 (combinations of blue then green) outcomes out of 20*20 (any two marbles):

8*5 / (20*20) = 40 / 400 = 1/10 = 0.1

Answer: x-intercept(s): (7/5, 0)

Y intercept(s): (0,−7)

Note that based on the graph given, the mean is at point B, while the median is also at point B:

The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the integers and divide the total by the number of occurrences), geometric mean, and harmonic mean.

The median, on the other hand, is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.

For the median:

Given the above definition,  and the fact that we have 14 data points, the median is going to be somewhere between the 7th and 8th data points. By graph analysis, it is easy to see the following:

For the mean:

Given that the graph is representative of a Normal Distribution, the mean is also at point B.

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Full Question:

Here are the ages of 14 coworkers: [See attached graph]

Answer:

b > 6, b < -6

Step-by-step explanation:

Hello!

Using absolute value rules:

The compound inequality is as follows: b > 6, b < -6

This makes sense because all values turn positive in the asbolute value. So a number that is negative and less than -6 (say -7), would turn positive to be 7, which is greater than 6.

And any number already greater than 6 will always be greater than 6.

Answer:

Step-by-step explanation: f(x) =2-5x

2-5(-2)=12

2-5(-1)=7

2-5(0)=2

2-5(1)= -3

2-5(2)-8

I hope this helps. All you have to do is plug in the numbers in the equation for x and then solve!

Answer:

Step-by-step explanation:

Answer:

Umm 20 dollars?

Step-by-step explanation:

Answer:

2,500

Step-by-step explanation:

1cm=50km

50cm*50km=2500km

Answer:

2500 km

Step-by-step explanation:

If 1 cm is equal to 50 km, we can multiply the 1 cm by 50 to get 50 cm. In order to do this, we also have to multiply the 50 km (which was equal to the 1 cm) by 50 as well.

50 x 50 = 2500

Whatever we do to one side, we have to do to the other to make it equivalent.

INFORMATION:

We have the next triangle

And we must select the answer that best describes XW segment

STEP BY STEP EXPLANATION:

We can see that XW segment divides the YZ side into two equal parts, which measure 15 units. And we can also see that the XW segment starts in one of the vertex of the triangles and goes to the opposite side.

Then, we can analyze the definition for the median of a triangle

Finally, if we compare, we can see that the definition of median describes the XW segment.

ANSWER:

B. Median.

Answer:

Step-by-step explanation:

If coins 110 plus 130 will give you 240 coins

If actual money 110 times 5 will give you 550 plus 130 will give you 680 or 6 dollars and 80 cents.

N times 5 plus p will be your equation

SOLUTION:

Case: Interpreting slopes from linear equations

Method:

V(x) = 20.6 + 2.2x

Compared to

y = mx + b

Where m is the slope and it is being interpreted as the rise for every single run on the line graph.

As it applies,

V(x) = 20.6 + 2.2x

m = 2.2 thousand ie. 2200

It is interpreted as the amount the value increases by each month.

Final answer:

The value of this investment is increasing at a rate of $2200 each month

Answer:

x=12

Step-by-step explanation:

(x-6)=6

x=12