Assessment items On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° . What is AC ?

A) 3 cm

B) 6 cm

C) 9 cm

D) 12 cm

Answer:

its actually 1/2

Answer:

recursive formula = [tex]a_{n} = a_{n-1}* r[/tex]

explicit formula: [tex]a_{n} = a_{1}*r^{n-1}[/tex]

Step-by-step explanation:

Thinking process:

Let a sequence be given as:

3   9    27    81

As can be observed from the sequence, the next number of the sequence is a multiple of 3, that is 9 is a multiple of 3. Similarly, 27 is 9 multiplied by 3

then, let the first term be a. the common multiplying factor will be r (in this case 3). Then the formula will be [tex]a_{n} = a_{n-1}*r[/tex]

In addition, the powers rule applies.

For instance:

9 = [tex]3^{2}[/tex]

27 = [tex]3^{3}[/tex]

81 = [tex]3^{4}[/tex]

Then the explicit formula will be [tex]a_{n} = a_{1}*r^{n-1}[/tex]

The condition 'p implies q' and 'q implies r' logically leads to the conclusion that 'p implies r' due to the transitive property of logical arguments, which forms a valid chain argument called syllogism.

Given two conditional statements p⇒q and q⇒r, we can deduce another conditional statement that must logically be true. When p implies q (p⇒q), and q implies r (q⇒r), we can conclude that p⇒r is also true. This is known as the transitive property in logic.

Chain argument or syllogism is a logical argument where a series of premises leads to a conclusion. Using this, when p happens before q, and q precedes r, it follows that p must also lead to r. Therefore, we can construct a logical chain: p⇒q⇒r, resulting in p⇒r.

It takes 12 for 1 pint containers to fill the birdbath.

Edgar has birdbath that holds 2 gallons of water.

There are 2 pints in 1 quart.

Similarly there are 4 quarts in a gallon.

So, there are 8 pints in a gallon.

2 x 8 =16.

So there are 16 pints in total.

3/4 of 16 is

[tex]\frac{3}{4} *\frac{16}{1}\ =12[/tex]

Therefore,It takes 12 for 1 pint containers to fill the birdbath.

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Human reproduction involves fertilization, gestation, birth, and parental care.

Human reproduction involves the process of sexual reproduction, where a male and female contribute genetic material to produce offspring. This process includes several steps:

These steps are essential for the continuation of the human species.

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After calculating the price per ounce for both size bags of jelly beans, the 18-ounce bag at $0.166 per ounce is a better buy per ounce compared to the 10-ounce bag at $0.199 per ounce.

To determine which size of jelly beans is the better buy per ounce, we need to calculate the price per ounce for each bag. Then, we can compare the two to see which one provides a lower cost per ounce, indicating the better value.

Calculate the price per ounce for the 10-ounce bag: $1.99 / 10 ounces = $0.199 per ounce.

Calculate the price per ounce for the 18-ounce bag: $2.99 / 18 ounces = $0.166 per ounce.

Compare the two price per ounce figures: $0.199 per ounce for the 10-ounce bag versus $0.166 per ounce for the 18-ounce bag.

The 18-ounce bag has a lower cost per ounce than the 10-ounce bag, so the 18-ounce bag is the better buy per ounce.

In probability, the probability of an outcome is a value between 0 and 1, inclusive. From your list, 1.015 and -0.234 do not fall within this range and thus can't be considered as valid probabilities, whilst 45%, 0.45%, 0.995, 2/3, and 0.66 are valid probabilities.

In probability theory, the probability of an outcome is always expressed as a value between 0 and 1, inclusive. In other words, the minimum probability is 0 (representing an event that will not occur) and the maximum is 1 (representing an event that is certain to occur). Probabilities can also be represented as fractions, percentages, or decimal numbers that fall within this range.

Looking at your list, 1.015 and -0.234 cannot be considered valid probabilities, because they fall outside the 0 to 1 range. All percentages should also be converted to decimals before comparison, meaning that 45% is equivalent to 0.45 and is a valid probability, while 0.45% is equivalent to 0.0045 and is also valid. Similarly, 2/3 and 0.66 are valid probabilities because they lie within the 0-1 range.

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To determine P percent when 9 is a percent of 17, we calculate P ≈ 52.94%. Therefore, P is between 50% and 60%.

To find what P percent is when 9 is a percent of 17, we use the formula for percentage: P = (part/whole) x 100. Here, the part is 9, and the whole is 17. Thus, the calculation will be:

First, divide 9 by 17, which equals approximately 0.5294. Next, multiply this result by 100 to convert it to a percentage:

So, P is approximately 52.94%. This means that P falls between 50% and 60%.

Answer:

x=2.69,−0.69

exact :

4±√46/4

Answer:

t<38/17

t < 2 4 /17

Step-by-step explanation:

Add 5t to each side

12t+5t-2<-5t+5t+36

17t-2<+36

Add 2 to each side

17t-2+2<+36+2

17t <38

Divide by 17

17t/17 <38/17

t<38/17

t < 2 4 /17

The measurement of angle A in the given cyclic quadrilaterals, is 135°

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral.

Given that, a quadrilateral ABCD ​is inscribed in a circle, so this type of quadrilaterals are called cyclic quadrilaterals, m ∠ A = 3x+6 and m ∠ C = x+2

We need to find, m ∠ A,

We know that in cyclic quadrilaterals, the opposite angles are supplementary,

Therefore,

m ∠ A + m ∠ C = 180°

3x+6+x+2 = 180°

4x+8 = 180°

4x = 172°

x = 43°

Therefore,

m ∠ A = 3x+6

m ∠ A = 3(43)+6

m ∠ A = 135°

Hence, the measurement of angle A in the given cyclic quadrilaterals, is  135°

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In order to compute for the number of seats available in the auditorium, you just have to divide the number of people at the concert with the percentage of its utilized capacity.

Solution:

170 people / 85% = 200 seats available in the auditorium

To check the answer:

200 seats x 85% = 170 people are in the concert

The measure of missing angle can be obtained as 69°.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

A quadrilateral can be drawn for the given case as below,

Suppose the angles A, B, C and D are 122, 79, 90 and Z.

Since the sum of the angles of a quadrilateral is 360°.

The following equation can be be written as,

122 + 79 + 90 + Z = 360

⇒ Z = 360 - 291

⇒ Z = 69

Hence, the missing angle is given as 69°.

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We can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).

Range for hours spent studying for 10 - 13 year olds = 8 - 1 = 7

Range for hours spent studying for 14 - 17 year olds = 10 - 4 = 6

Median for hours spent studying for 10 - 13 year olds = 4

Median for hours spent studying for 14 - 17 year olds = 7

Average for hours spent studying for 10 - 13 year olds = (1+1+2+4+4+4+4+6+6+7+8)/11 = 4.3

Average for hours spent studying for 14 - 17 year olds = (4+4+4+4+6+7+8+9+9+10+10)/11 = 6.8

Therefore, we can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).

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