Why do we use congruence?

Answer: C) 15/2

Step-by-step explanation:

Using the formula for the sum of an infinite geometric series,

[tex]\frac{5}{1-\frac{1}{3}}=\frac{15}{2}[/tex]

Answer:

Great than 10, but less than 100

Step-by-step explanation:

Make 700% a decimal by dividing by 100

700/100 = 7

7 = 5 = 35

700% of 5 is 35.

Answer:Greater than 10 but less than 100

Step-by-step explanation

700% of 5 = 35

35 is greater than 10

but less than 100

hope this helps

Answer:

8 cards per chip

Step-by-step explanation:

So 32:4 is the ratio.

Divide by 4 to get 8 cards per chip.

For the given domain and range, the only option that can be true is C:

h(2) = 16

We know that we have a function h(x), such that the domain of that function is:

D: [-3, 11]

And the range is:

R: [1, 25]

We also know that:

h(8) = 19

h(-2) = 2

Now let's analyze each statement:

A) h(-3) = -1

This is false because -1 is not in the range.

B) h(8) = 21

This false, because h(8) is equal to 19 bassed on the given information.

C) h(2) = 16

This can be true, x = 2 and h(x) = 16 are in the domain and range respectively.

D) h(13) = 18

This is false because x = 18 is not in the domain.

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When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.

The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle.

Triangles are considered congruent by SAS if their two sides match those of the other triangle's corresponding two sides, and if their included angles are parallel in both triangles.

Hence we get the required answer.

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Answer:

33,000

Step-by-step explanation:

0.33 x 10^5 is 33,000

Answer:

The first option.

Step-by-step explanation:

The graph starts very negative and ends very positive. Not sure how else to explain it.

Answer:0=4

Step-by-step explanation:

2(w+2)-w=(w-1)+9

2w+4-w=(w-1)+9

1w+4=(w-1)+9

w+4=w-1+9

w+4=w+8

w+4 - 4 = w+8 - 4

w=w+4

w-w = w-w +4

0=4

Answer: 23/5 = 4 3/5

20/12 = 1 8/12 = 1 2/3

3 3/4 = 15/5

4 7/15 = 67/15

18/8 = 2 2/8 = 2 1/4

45/18 = 2 9/18 = 2 1/2

8 3/10 = 83/10

1 11/12 = 33/12

Step-by-step explanation:

Answer:

10x − 3

Step-by-step explanation:

x − 4 + 8x + 1 + x

combine x terms:

10x − 4 + 1

combine numbers:

10x − 3

The to make 10 strategy is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy.

Make 10, or Add up using 10 is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy. The key facts for using a make 10 strategy are 8+2=10 and 9+1=10.

For example

We need to make 10 to add 8 + 8.

8  + 8 = (10 - 2) + (10 - 2)

8 + 8 = 10 - 2 + 10 - 2

8 + 8 = 20 - 4

8 + 8 = 16

Thus, to make 10 is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy.

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The example of a complex fraction is the fraction that consisting fraction on the numerator or denominator or both, that is 4 / (1/6)

The simple fraction consist of both numerator and denominator as whole number. The term on the top is the numerator and the term on the bottom is called the denominator

The complex fraction is defined as the fraction that consisting fraction on the numerator or denominator or both

The example of the complex fractions are

4 / (1/6)

Here the numerator is the 4 and it is a whole number. The denominator is 1/6 that is a fraction

Therefore, the example of a complex fraction is 4 / (1/6)

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There is no sufficient evidence to support that the population mean is less than 165.

What is mean ?

The average of a set of values is referred to as the mean in statistics and math. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The simple arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

From the given data

183, 152, 178 , 157 , 194 , 163 , 144 , 114 , 178 , 152 , 118 , 158

Mean = 157.5833

Standard deviation s = 24.39

  n = 12

Null hypothesis  [tex]H_{0}[/tex] : μ = 165

Alternative Hypothesis [tex]H_{1}[/tex] = μ < 165

Level of significance ∝ = 0.05

degree of freedom (df) = n - 1

                                (df) = 12 - 1

                                (df) = 11

critical value [tex]t_{0.05 , 11}[/tex] = -1.796 (left - tailed)

Test - statistics (t) = ( mean - μ ) / ( s / √n)

                         (t) = -1.053

p - value = 0.1574

p - value > Significance level (∝)

 0.1574 > 0.05

We fail to reject the null hypothesis

Critical value [tex]t_{0.05 , 11}[/tex] = -1.796

                   |[tex]t_{0.05 , 11}[/tex]| = 1.796

|test - statistics| < |critical value|

1.053 < 1.796

We fail to reject the null hypothesis

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Answer:

Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...

Step-by-step explanation:

The upper bound of the given function is 20 while the lower bound of the given function is -8.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

-2 ≤ f(x) ≤ 5

At the upper bond, f(x) = 5

[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]

⇒ 5(3 + 1) = 20

At the lower bond f(x) = -2

[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]

⇒ -2(3 + 1) = -8

Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".

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Answer:

$300

Step-by-step explanation:

S = amount of $$ Shivani currently has

Y = ... Yamini currently has

1. If Shivani gives 60 to Yamini, the amounts with both will be equal:
   S - 60 = Y + 60

2. if Yamini gives 20 to Shivani, the amount with Shivani would become twice the amount left with Yamini: 2(Y-20) = S+20

3. Simplify both equations and solve the system:

   S = Y + 120
   S = 2Y - 60

   Y + 120 = 2Y - 60  ⇒  Y = 180

   S = 180 + 120 = 300

Answer:

34°

Step-by-step explanation:

34° is the the compliment of 56°

complementary angles can add upto 90°

56 + 34 = 90

90° - 56° = 34°

or

56° + x = 90°

-56 -56

x = 34°

Name of the angle = acute angle 34°<90°

0° - 90° = acute angles

90° - 180° = obtuse angles

Answer:

  7 : 13

Step-by-step explanation:

If 35% of people have high blood pressure, you want the odds in favor of a randomly chosen person having high blood pressure.

The odds ratio is the ratio of favorable to unfavorable outcomes:

  high blood pressure : not high blood pressure = 35% : 65% = 7 : 13

The mean number of goals the team scored is 2.3

Mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency. To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of values.

Basically, the mean of a data set is the average of the entire data

mean = sum of all data / total number of data

mean = 23 / 10

mean = 2.3

The mean is 2.3

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21⁰

sin0=opp/hyp

sin0=5/14

0=(sin^-1)5/14

0=21⁰

The value of x in the considered inequality's solution set is given by -10.

What is  inequality ?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We have;

3(x - 4) ≥ 5x + 2

By solving;
3(x - 4) ≥ 5x + 2

3x - 12 ≥ 5x + 2

Adding -3x-2 on both sides we get ;

-12-2 ≥ 5x-3x

-14 ≥ 2x

Dividing both sides by 2,we get;

-14/2 ≥ 2x/2

-7 ≥ x

x ≤ -7

As a result, any numbers that are less than or equal to -7 comprise the solution set for this inequality.

There is currently only the value -10 in the solution set because -10 ≤ -7.

As a result, the value of x in the collection of solutions to the inequality under consideration is provided by -10.

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If triangle RST is an acute triangle, then m∠S must be less than 90°.

What is Acute Traingle?

A form of triangle called an acute triangle has acute angles at each of its three internal angles. Triangles with sharp angles are also known as acute triangles. Acute triangles have different side lengths, but their interior angles are always less than 90°.

In light of the foregoing, if triangle RST is an acute triangle,

then,

∠R , ∠S and ∠T, all are less than 90.

A triangle that is equilateral and has all three interior angles equal and less than 90 degrees, or angles that are all 60 degrees, is an example of an acute triangle.

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The equation that represents how many grams of the compound will remain after 4 hours is A(4) = 380 *(1 - 12.1%)⁴

From the question, we have the following parametersa:

Mass = 380 grams

Rate of decay= 12.1% per hour

These parameters can be represented using the following exponential equation

A(n) = A *(1 - r)ⁿ

Where

n = number of hours = 4

A  = Initial mass = 380

r = rate of decay = 12.1%

Substitute the known values in the above equation, so, we have the following representation

A(4) = 380 *(1 - 12.1%)⁴

Hence, the equation is A(4) = 380 *(1 - 12.1%)⁴

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Answer:

x=-10

Step-by-step explanation:

-3x-7=-8x-57

Add 8x: 5x-7=-57

Add 7: 5x=-50

Divide 5: x=-10

The expression that represents the total number of miles Hayden biked is A. 5 × (3 + 3 + 2 1/4)

It is important to note that an expression simply refers to mathematical statements which have at least two terms which are then related by an operator. In this case, they contain either numbers, variables, or both.

In this case, since Hayden rode his bike 5 times and each time he biked a 3 mile path, a 2 mile path, and a 2 1/4 mile path. Then in this situation, the expression will be:

= 5 × (3 + 3 + 2 1/4)

In conclusion, the correct option is A.

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The number of sugar cups will be equal to 7.5 cups.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.

The number of sugar cups will be calculated as,

F / S = 2 / 3

5 / S = 2 / 3

S = ( 5 x 3 ) / 2

S = 7.5 cups

Therefore, the number of sugar cups will be equal to 7.5 cups.

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Graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.

What is inequality?

When left hand side is not exactly equal to the right hand side of an equation then it is known as inequality. For system of inequality, there are four types of inequalities <, >, [tex]\le[/tex], and [tex]\ge[/tex].

Using following steps anyone can graph the inequality:

1. Get y alone on one side of a linear inequality in two variables (like x and y) before graphing it. Then, take into account the associated equation that was created by switching the inequality sign for an equality sign. This equation has a line as its graph.

2. The graph is a dashed line if the inequality is strict ( < or >). The graph is a solid line if the inequality is not strict ([tex]\le[/tex] or [tex]\ge[/tex] ).

3. The last step is to choose a point that is not on either line (typically (0, 0) is the simplest) and determine whether or not these coordinates fulfil the inequality. If so, shade the portion of the half-plane that contains that point. If not, shade the opposite half-plane.

Hence, the graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.

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Answer:

m = -66

Step-by-step explanation:

-m = -1m

-m = 66  ⇒  -m/-1 = 66/-1  ⇒  m = -66