Determine the number of acute, obtuse, and right angles in the shape above.

Answer:

x = 57

Step-by-step explanation:

x−53 = 4

Add 53 to each side

x-53+53 = 4+53

x = 57

Answer:

x = 57

Step-by-step explanation:

x−53 = 4

x (- 53 + 53) = 4 + 53

x = 57

All the given triangles are congruent by SSS, SAS, and AAA rules.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

As per the given triangles,

In the first triangle, two sides are the same and the third side is the common side thus it will be congruent with the SSS rule.

The remaining triangles are also congruent similarly to SAS and AAA rules like this.

Hence "By the SSS, SAS, and AAA criteria, every triangle in the example is congruent.".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ1

The function f(x) = 8x³ satisfies the condition f(-x) = -f(x) and is odd. D.

To determine whether the function f(x) = 8x³ is even or odd, we need to analyze the symmetry of the function with respect to the y-axis and the origin.

Even function:

If a function is even, it satisfies the condition f(-x) = f(x), meaning that the function is symmetric with respect to the y-axis.

Odd function:

If a function is odd, it satisfies the condition f(-x) = -f(x), meaning that the function is symmetric with respect to the origin.

Now, let's analyze the given function, f(x) = 8x³:

Testing for evenness:

If we substitute -x for x in the function, we have f(-x) = 8(-x)³

= -8x³.

This is not equal to f(x) = 8x³.

The function f(x) = 8x³ is not even.

Testing for oddness:

If we substitute -x for x in the function, we have f(-x) = 8(-x)³

= -8x³.

This is equal to -f(x) = -8x³.

The function is odd because f(–x) = –f(x).

For similar questions on function

https://brainly.com/question/25638609

#SPJ8

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer:

-12x-8

Step-by-step explanation:

Use Math  Way

Answer:

-12x-8

Step-by-step explanation:

-4(3x+2)

-4*3x= -12

-4*2=-8

The ratio as fraction is 36/ 55.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

We have to find the ratio for  3 feet to 55 inches.

So, 3 feet to 55 inches

= 3 feet/  55 inches

= 3 feet : 55 inches

= 3 x 12 inches : 55 inches

= 36 inches : 55 inches

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ1

\(\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7\)

Answer:

yes, it would change because the place value

The quadratic equation that fits each set of points (0.-8), (2, 0), and (-3, -5) is -3x² + 10x - 8 = 0

Quadratic equation:

Quadratic equation refers algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given,

Here we have the set of points (0.-8), (2, 0), and (-3, -5).

Now, we have to find the quadratic equation for this points.

We know that the standard form of the quadratic equation is,

y = ax² +  bx + c

Here we have to use each point value in order to find the value of a, b and c to find the quadratic equation of the points,

First we have to take the point (0, -8) and apply it on the formula, then we get,

-8 = a(0)² +  b(0) + c

-8 = c

Now, use the point (2,0), then we get,

0 = a(2)² +  b(2) + c

0 = 4a + 2b + c --------------------(1)

Finally, take the point (-3, -5), then we get the equations,

-5 = a(-3)² +  b(-3) + c

-5 = 9a - 3b + c --------------------(2)

Now, apply the value of c as -8, then we get,

4a + 2b = 8 ----------------(3)

9a -3b = 3 -----------------(4)

Divide equation (4) by 3 and equation (3) by 2 on both sides then we get,

2a + b = 4

3a - b = 1

When we subtract these equation then we get the value of

a = -3

Then the value of b is

2(-3) + b = 4

b = 4 + 6

b = 10

Therefore, the quadratic equation is -3x² + 10x -8 = 0

To know more about Quadratic equation here.

https://brainly.com/question/17177510

#SPJ1

Answer:

The value of 7.9-4.36 is 3.54

The value of 5.27 + 3.5 is 8.77

Step-by-step explanation:

Answer:

y = 28, 16 , 4 , -8 , -20

Hope this helps.

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

The maximum area is 12.25 square feet

From the question, we have the following parameters that can be used in our computation:

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

Read more about area at

https://brainly.com/question/25292087

#SPJ1

Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

To learn more about : marbles

https://brainly.com/question/30636030

#SPJ11

The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

for such more question on parabola

https://brainly.com/question/18274774

#SPJ11

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

Know more about numerator here:

https://brainly.com/question/1217611

#SPJ8

Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Answer:

D) Causation

Step-by-step explanation:

Taking medicine appears to enable the patient to recover faster. Clearly a causation situation since taking medicine causes faster recovery; not taking medicine slows recovery

There is no correlation between the two patients

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

Answer:

1\( \frac{19}{23} \)

Step-by-step explanation:

\( \frac{3}{2} \div ( \frac{1}{4} + \frac{4}{7} )\)

\( \frac{3}{2} \div ( \frac{7 + 16}{28} )\)

\( \frac{3}{2} \div \frac{23}{28} \)

Cross Multiply

\( \frac{3}{2} \times \frac{23}{28} = \frac{84}{46} \)

Reduce

\( \frac{84}{46} \div \frac{2}{2} = \frac{42}{23} \)

Divide, set the answer as the whole number and the remainder as the numerator.

1\( \frac{19}{23} \)

Answer:

1 \(\frac{19}{23}\)

Step-by-step explanation:

\(\frac{3}{2}\) ÷ (\(\frac{1}{4}\) + \(\frac{4}{7}\))  Add the fractions together first.

Rewrite them with the common denominator of 28.

\(\frac{1}{4}\) + \(\frac{4}{7}\)    4x7 = 28, so multiply the top of the first fraction by 7 to get the equivalent fraction.   7x4 = 28, so multiply the top of the second fraction  by 4 to the second equivalent fraction

\(\frac{7}{28}\) + \(\frac{16}{28}\) = \(\frac{23}{28}\)

\(\frac{3}{2}\) ÷ \(\frac{23}{28}\)  Which is the same as

\(\frac{3}{2}\) x \(\frac{28}{23}\) = \(\frac{84}{46}\)  Divide the top and bottom by 2

\(\frac{42}{23}\)      23 goes in 42 1 time with 19 left over

1 \(\frac{19}{23}\)

Answer:

50

Step-by-step explanation:

Hope it helps

The required number that is less than 200 and divisible by 6 and not divisible by 5 is 27.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The last number less than 200 which is divisible by 6 is 198,

So total number that is divisible by 6,
= 198 / 6
= 33
Now, from this 33 number, we have put out the number which get divisible by 5,
So the number multiple of 30 which gets divisible by 5 and 6 as well,
Which are 6 in number,
So, the total number is given as = 33 - 6 =27

Thus, the required number that is less than 200 and divisible by 6 and not divisible by 5 is 27.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ1

the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

An interval is a set of real numbers that includes all the numbers between two endpoints. The endpoints can be included or excluded from the interval, depending on whether square brackets or parentheses are used to define the interval.

The equation is:

\(tan(\theta) = 3.804\)

To solve for θ, we can use the inverse tangent function (also known as arctan or tan^-1) on both sides of the equation:

\(\theta = tan^-1(3.804)\)

Using a calculator, we can evaluate this expression and get:

\(\theta \approx 1.305\) radians (rounded to three decimal places)

Therefore, the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

Learn more about interval here:

https://brainly.com/question/30486507

#SPJ1

The distance David hiked can be determined as,

Thus, option (c) is the correct solution.

Answer:

um i dont understand sorry

Answer:

B

Step-by-step explanation