Find the measure of each marked angle. Assume the lines are parallel.
x+1=°
O
4x-26=
(Simplify your answers. Type an integer or a fraction.)
fars
(x+1)°
(4x-26)°

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

32 cm²

Step-by-step explanation:

Area of rectangle

= length × breadth

= 8 cm × 4 cm

= 32 cm²

PR is congruent to LN

So, PR=LN

Since Q is the midpoint of line segment PR, and M is the midpoint of LN, and both lines are equal, segments are equal:

PQ= LM

QR=MN

Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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Answer:

- 18

Step-by-step explanation:

arithmetic  sequences are in form:

a(n)=a(o)+d(n-1)

sum are in form:

s(n)=[a(0)+a(n)](n/2)

three middle terms is:

10th, 11th, 12th term

How to think: 21 = 10+1+10 --> middle 3 is 10,11,12

sum of these 3 terms:

a(10)+a(11)+a(12)

=a(o)+9d+a(0)+10d+a(0)+11d

=3a(0)+30d=126

a(0)+10d=42 ......(equation 1)

Last three terms is:

19th, 20th, 21th

a(19)+a(20)+a(21)

=a(0)+18d+a(0)+19d+a(0)+20d

=3a(0)+57d=288

a(0)+19d=96 ......(equation 2)

now you have

a(0)+10d=42 ......(equation 1)

a(0)+19d=96 ......(equation 2)

solve and gives

d=6

a(0)= -18

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer: x=9 is an extraneous solution

Step-by-step explanation:

Given

Function is \(f(x)=\sqrt{x-5}\)

for function to exist

\(\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5\)

Therefore, 9 satisfies the  above equation. It is it's extraneous solution.

The value of the expression is 188

Given the expression

= \(\frac{7 + (2 + 6)^2}{4 * \frac{1}{2}^4}\)

Expand the bracket

= \(\frac{7 + 4 + 36}{ 4 * 1/16}\)

We have

= \(\frac{47}{1/4}\)

The denominator becomes the multiplier, we have

= 47 × 4

= 188

Thus, the value of the expression is 188

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Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD. The lines CD and GH cannot be defined. The lines AB and GH cannot be defined. Lines IJ and CD are perpendicular

Two lines are said to be parallel if :  m(1) = m(2).

Two lines are perpendicular to each other if : m(1) x m(2) = -1.

We have to classify the set of these lines as; Parallel, Perpendicular or Cannot Be Determined.

1. Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD.

2. The lines CD and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.

3. The lines AB and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.

4. Lines IJ and CD are perpendicular; because they intersect each other at right angle.

Hence, the solutions to the table are shown above as options.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer: 9.2

Explanation: The value of the square root of 85 lies between the whole numbers 9 and 10.

The required amount charged to Tiffany for 9 minutes of the car wash is $11.14. Option A is correct.

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 additional charge for the time Tiffany was at the car wash was $0.66 per minute, so the total charge for 9 minutes would be
= $0.66 * 9
= $5.94.

Adding this to the original charge of $5.20 gives a total charge,
= $5.20 + $5.94
= $11.14.

Therefore, Tiffany was charged A) $11.14.

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The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=18 \end{cases}\implies V=\cfrac{\pi (10)^2(18)}{3}\implies \stackrel{using~\pi =3.14}{V=1884}\)

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

A stock price will rise if demand for stock is greater than supply. So, the correct answer is option (d).

The stock price or share price is the amount of money it costs to buy shares in a company. Stock prices are not fixed and fluctuate based on market conditions. It is likely to go up if the company is viewed as good, and it is likely to go down if the company is not performing as expected. If there are more people who want to buy a demand than sell (supply ) it, the stock price will go up. Conversely, if more people want to sell than buy stocks, there will be more supply than demand and prices will fall. Understanding supply and demand is easy.

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Complete question:

A Stock Price Will Rise If:

a) Supply Of Stock Is Greater Than Demand

b)The Price-Earnings Ratio Is 10 Or Greater

c)Stock Yield Is Greater Than 8%

d) Demand For Stock is Greater Than Supply

e) None Of These.

A system of equations to represent this situation include the following:

2x + 2y = 4.40

3x + 4y = 7.80

In order to write a system of equations that model this situation, we would assign variables to the number of bagels and the number of cups of coffee respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into algebraic equation as follows:

Since 2 bagels and 2 cups of coffee cost $4.40, we would have:

2x + 2y = 4.40    .....equation 1.

Additionally, 3 bagels and 4 cups of coffee cost $7.80:

3x + 4y = 7.80    .....equation 2.

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Answer:

24:26 and 36:39 are two ratios that are equivalent to 12:13.

Step-by-step explanation:

Answer:

\(x\leq 76\)

Step-by-step explanation:

Let x = unknown number

\(\implies \dfrac89 \times (x-4)\leq 64\)

\(\implies \dfrac{8(x-4)}{9}\leq 64\)

Multiply both sides by 9:

\(\implies 8(x-4)\leq 576\)

Expand brackets:

\(\implies 8x-32\leq 576\)

Add 32 to both sides:

\(\implies 8x\leq 608\)

Divide both sides by 8:

\(\implies x\leq 76\)

Let the number be x

\( \sf \frac{8}{9} (x - 4) \leqslant 64\)

Note that

Solve the equation for x ~

\( \sf \: x - 4 \leqslant 72\)

\( \sf \: x \leqslant 72 + 4\)

\( \boxed{ \tt \: x \leqslant 76}\)

Answer:

18%

Step-by-step explanation:

percentaje:

%= \((\frac{8260-7000}{7000}) (100)=(\frac{1260}{7000} )(100)=(0.18)(100)=18\)

I hope this help you

Answer:   $132

Step-by-step explanation:

(3t + 2) = 55

(2t + 5) = 77

$55 + $77 = $132

Answer:

a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.

b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.

Step-by-step explanation:

Here the answer is given as follows,

Answer:

  17. 4/6 = 9/x

  21. E(10, 0)

  22. E(28/3, 0)

  23. E(24, 0)

  24. E(9/2, 0)

Step-by-step explanation:

You want various proportions and measures related to similar triangles.

Similar triangles have proportional corresponding side lengths. That is the ratio of sides in one triangle is equal to the ratio of corresponding sides in a similar triangle.

The small triangle and the large one are similar by virtue of their parallel bases. That means the ratios of side lengths are the same. Here, we need to be careful, because the side length of the larger triangle comes in two pieces that need to be added together: 4 +5 = 9.

  left side / base = 4/6 = 9/x . . . . . . correct proportion

The ratio of x-intercepts is the same as the ratio of y-intercepts. The y-coordinate of point E will always be zero, since point E lies on the x-axis.

  E/C = D/B   ⇒   E = CD/B

Here we have used B, C, D, E, to represent the non-zero coordinate of each point.

  21. E = 8·5/4 = 10. The point is E(10, 0).

  22. E = 4·7/3 = 28/3. The point is E(28/3, 0).

  23. E = 6·4/1 = 24. The point is E(24, 0).

  24. E = 3·9/6 = 9/2. The point is E(9/2, 0).

__

Additional comment

Regarding problem 17:

Occasionally, it is useful to use the partial side length in a proportion. For example, if the top and bottom segments on the right side were labeled 7 and y, then we could write the proportion 4/5 = 7/y because top segments 4 and 7 correspond, as do bottom segments 5 and y.

You can do this with the bottom segment as well. Recognizing that 5 is the difference between the top triangle length and the whole triangle length, we can write the proportion for the bottom length by relating its difference from the top triangle length:

  4/6 = 5/(x-6)   ⇒   4x-24 = 30   ⇒  x = 54/4 as with the above proportion.

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

I, and IV

Step-by-step explanation:

Answer:

3

Step-by-step explanation: