Which one of the following sets of data determines a unique triangle?A. a = 3, b=5, c = 20B. A = 50°, B = 50°, C = 80°C. a=7, b = 24, c= 25D. A = 40°, B = 20°, C = 30°

From the given figure we can see a vertical line intersected the x-axis at point (2, 0)

Since the equation of the vertical line that passes through the point (a, b) is

Where a is the x-coordinate of any point on the line

Then the equation of the given line that passes through the point (2, 0) is

Since the line is solid and the shading area is right the line, then

The sign of inequality should be >=

Then the inequality that represented the line is

Answer:

1

Combine multiplied terms into a single fraction

6−8=12(4+5)

6−8=1(4+5)2

2

Multiply by 1

6−8=1(4+5)2

6−8=4+52

3

Add

8

888

to both sides of the equation

6−8=4+52

6−8+8=4+52+8

10 more steps

Solution

=21/8

Step-by-step explanation:

Answer:

Answer: mark me brainlest

Step-by-step explanation:

Answer is A.

Answer:

200

Step-by-step explanation:

Answer:

Letter recognition, Letter naming, Letter sound knowledge, Letter writing

Answer: 60.

Step-by-step explanation:

Multiply -12 and -5, ignore j.

-12 * -5 = 60.

t = 60

Step-by-step explanation:

\(3 \sqrt{3 \:} + \sqrt{3} \)

Simplify,then combine each:

\( = 4 \sqrt{3} \)

or

\(3 \sqrt{3 \:} + \sqrt{3} \)

=5.196+1.732

=6.928

\( \approx6.930\)

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Step-by-step explanation:

34−1.9 + 1234-1.9 + 12

Find the common denominator.

Click to see fewer steps ...

Write −1.9-1.9 as a fraction with denominator 11.

34 + −1.91 + 1234 + -1.91 + 12

Multiply −1.91-1.91 by 4444.

34 + −1.91⋅44 + 1234 + -1.91⋅44 + 12

Multiply −1.91-1.91 by 4444.

34 + −1.9⋅44 + 1234 + -1.9⋅44 + 12

Multiply 1212 by 2222.

34 + −1.9⋅44 + 12⋅2234 + -1.9⋅44 + 12⋅22

Multiply 1212 by 2222.

34 + −1.9⋅44 + 22⋅234 + -1.9⋅44 + 22⋅2

Multiply 22 by 22.

34 + −1.9⋅44 + 2434 + -1.9⋅44 + 24

Combine the fractions.

Click to see fewer steps ...

Combine the fractions that have a common denominator.

3−1.9⋅4 + 243-1.9⋅4 + 24

Multiply −1.9-1.9 by 44.

3−7.6 + 243-7.6 + 24

Simplify the numerator.

Click to see fewer steps ...

Subtract 7.67.6 from 33.

−4.6 + 24-4.6 + 24

Add −4.6 - 4.6 and 22.

−2.64-2.64

Divide −2.6-2.6 by 44.

−0.65-0.65

The solid is bounded below by the xy-plane, above by the plane x + y + 2z = 2, and by the elliptic cylinder x^2 + 2y^2 = 2 on the sides.

To find the volume of this solid, we can use a triple integral, integrating over the region of the xy-plane that is bounded by the ellipse x^2 + 2y^2 = 2.

We can express this region in polar coordinates, where x = r cos θ and y = r sin θ. Then, the equation of the ellipse becomes:

r^2 cos^2 θ + 2r^2 sin^2 θ = 2

Simplifying:

r^2 = 2/(cos^2 θ + 2sin^2 θ)

So the region of integration can be expressed as:

∫(0 to 2π) ∫(0 to √(2/(cos^2 θ + 2sin^2 θ))) ∫(0 to 2 - x - y)/2 dz dy dx

This gives us the iterated integral:

∫(0 to 2π) ∫(0 to √(2/(cos^2 θ + 2sin^2 θ))) ∫(0 to 2 - r(cos θ + sin θ))/2 dz r dr dθ

Note that the limits of integration for z and r depend on x and y, which depend on θ and r.

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The formula for the n-th term is:

aₙ = 3*(1/2)⁽ⁿ⁻¹⁾

For a geometric sequence where the first term is a₁ and the common ratio is r, the formula for the n-th term is:

aₙ = a₁*(r)⁽ⁿ⁻¹⁾

Here we know that the first term is a₁ = 3 and the common ratio is r = 1/2.

Then the formula for the n-th term of the sequence is:

aₙ = 3*(1/2)⁽ⁿ⁻¹⁾

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Answer:

Adjacent Angles:

BDC and CDE

ADF and EDF

Vertical Angles:

GDA and CDE

ADB and FDE

Step-by-step explanation:

The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

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Step-by-step explanation:

\( \frac{12w + 8}{6} = \frac{8w - 16}{3 } \\ 36w + 24 = 48w - 96 \\ 36w - 48w = - 96 - 24 \\ - 12w = - 120 \\ w = 10\)

Check the picture below.

Answer:

5 hours

Step-by-step explanation:

30+10(5)

30+50=80

5+15(5)

5+75=80

Answer:19.2

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Assuming the triangles are congruent, then by CPCTC,

\(65=2y-5\\\\70=2y\\ \\ y=35\)

The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.

For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.

In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.

We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.

A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.

This characteristic of the normal distribution makes it extremely simple.

Also, the normal distribution is important because of the Central limit theorem.

It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.

So, the normal distribution have an importance in statistics of whether or not out appears in nature.

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In parallelogram lonm, om is 34.

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

A quadrilateral with the opposing sides parallel is called a parallelogram. A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

First we have OQ =QM,

So 2x+3=3x-4,

x =7.

Hence OM =2(17)=34.

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Answer: D) 34

Step-by-step explanation:

edge 2023

Answer:

240 ;)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i) the solutions are the two x-intercepts, where y = 0.  

One such intercept is (-1/4, 0) and the other is at (5/4, 0).  In other words, the solutions are x = -1/4 and x = 5/4.

ii) To solve this, we draw a line through y = 2 and determine the x values at which the graph crosses this line.  

They are x = -1 and x = 3.

\(\huge\text{$k=\boxed{117}$}\)

\(\displaystyle\frac{k}{3}-5=34\)

To find the value of \(k\), we need to isolate it on one side of the equation. Add \(5\) to both sides of the equation, then multiply both sides of the equation by \(3\).

\(\displaystyle\begin{aligned}\frac{k}{3}-5+5&=34+5\\\frac{k}{3}&=39\\\frac{k}{3}*3&=39*3\\k&=\boxed{117}\end{aligned}\)

Answer:

i think it is y=-2/3x+8

Step-by-step explanation:

By using the concept of percentage, it can be calculated that

65% people are completely satisfied with the car

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 2% means \(\frac{2}{100}\). Here, 2 is expressed as a fraction of 100.

This is a word problem on percentage

Number of people who are completely satisfied with the car = 1495

Total number of people surveyed = 1495 + 210 + 595 = 2300

Percentage of people who are completely satisfied with the car = \(\frac{1495}{2300}\times 100\)

  = 65%

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Step-by-step explanation:

In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8

or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.