Solve for X and find the measure of angle A:

Both shapes seem equal, this means that the transformation that occurred between both figures is a rigid transformation.

To determine the transformation from the preimage ABC to the image A'B'C' you have to compare the coordinates between two corresponding points, for example:

B(4,2) and B'(-1,3)

The transformation vas a translation, you can tell this because the image is pointing in the same direction as the preimage.

To determine the number of units it was translated you have to calculate the difference between the coordinates of the preimage and the coordinates of the image:

The horizontal movement was achieved by changing the x-coordinates of the points

The negative value indicates that the movement was to the left.

The vertical movement was achieved by changing the y-coordinates of the vertices of the preimage.

The positive value indicates that the movement was done upwards.

So the preimage ABC was moved 5 units to the left and 1 unit up

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

-3n+31

Step-by-step explanation:

ok

The nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 28, 25 ,22, 19, 16

Twenty eight comma twenty five comma twenty two comma nineteen comma sixteen.

The sequence is an arithmetic sequence as there is a common difference between consecutive terms.

The first term is a=28

Common difference =25-28=-3

aₙ=28+(n-1)(-3)

aₙ=28-(n-1)(3)

aₙ=28-3n+3

aₙ=31-3n

Hence the nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.

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Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

0.07

0.073 has 2 significant figures. If you round it to the nearest hundredth place, then it’ll be 0.07, which has 1 significant figure.

The number 0.073 to 1 significant figure​ to 0.07.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Determine how many significant digits there are given a range of numbers.

The first digit of an integer that is not zero is considered to be significant.

Given:

Number = 0.073

So, to make it 1 significant figure we need to round off to nearest hundredth.

0.073 = 0.07, which has 1 significant figure.

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A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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Answer:

Step-by-step explanation:

(10 - 4)/(2 - 5) = -6/3 = -2

Answer: 11.18

Step-by-step explanation: To find one side of a square, you need to square root it’s area. The square root of 125 is 11.18.

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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Answer:

a. 35

Step-by-step explanation:

x - 18 = 17

x = 35

the difference between 30 and -12 is 42

Answer:

-2

Step-by-step explanation:

x+3+4=5

x+7=5

subtract 7 on both sides

x=-2

The third term in the expansion of the expression (5x - 7y)³ is 735xy².

Given expression is,

(5x - 7y)³

We have to expand this.

We know that,

(a + b)³ = a³ - 3a²b + 3ab² - b³

Using this,

(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³

               = 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³

               = 125x³ - 525x²y + 735xy² - 343y³

Here the third term is 735xy².

Hence the third term is 735xy².

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The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer: yes

Step-by-step explanation: The left side 1.32738095 is greater than the right side 1, which means that the given statement is always true.

Answer: B and C

Step-by-step explanation:

Answer:

90%

Explanation: 27/30 ÷ 3 = 9/10

9/10 ⇒ 9 x 10 = 90%

\(\\ \rm\longmapsto \sqrt{-18}\)

\(\\ \rm\longmapsto \sqrt{18}i\)

\(\\ \rm\longmapsto \sqrt{9\times 2}i\)

\(\\ \rm\longmapsto \sqrt{3(3)(2)}i\)

\(\\ \rm\longmapsto 3i\sqrt{2}\)

Answer:

A. \(\displaystyle 3i\sqrt{2}\)

Step-by-step explanation:

\(\displaystyle \sqrt{-18} → \sqrt{[2][-1][9]}\\ \\ 3i\sqrt{2}\)

As you can see, you need a perfect square to wourk with, which in this case is 9. Now, \(\displaystyle \sqrt{-1}\) comes out as an imaginary number \(\displaystyle [i],\)so pull it out of the radical alongside 3, \(\displaystyle \sqrt{9}.\)

I am joyous to assist you at any time.

9514 1404 393

Answer:

Step-by-step explanation:

The length of the hypotenuse can be found using the Pythagorean theorem:

  x² = 7² +24² = 49 +576 = 625

  x = √625 = 25

__

The angles can be found from the sine relation.

  Sin = Opposite/Hypotenuse

  sin(y) = 7/25

  y = arcsin(7/25) ≈ 16.3°

The acute angles in a right triangle are complementary, so ...

  z = 90° -16.3° = 73.7°

Answer:

x = 25 in.

y ≈ 16.3 degrees

z ≈ 73.7 degrees

Step-by-step explanation:

Answer:

y-4=5 (x-2)

Step-by-step explanation:

it's point-slope form.

y-y1 = m or slope (x-x1).

y1 being the y coordinate and x1 being the x coordinate.

if you need slope-intercept it is y=5x-6

Answer:

Step-by-step explanation:

If you used good technique, you would expect the range of measurements to be small. Good technique would include using a measuring instrument that is calibrated correctly, measuring in the same position and at the same time of day, and being consistent in how you position your body during the measurement. All of these factors would help to reduce the amount of measurement error and therefore lead to a smaller range of measurements.

Using conditional probability, it is found that there is a 0.5675 = 56.75% probability that he used the computer.

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

For making a research, there are two cases:

Then:

\(P(A) = 0.45(0.70) + 0.8(0.30) = 0.555\)

The probability of doing a research and using a computer is 45% of 70%, thus:

\(P(A \cap B) = 0.45(0.7)\)

Then, the conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.45(0.7)}{0.555} = 0.5675\)

0.5675 = 56.75% probability that he used the computer.

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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Answer:

17/30 ur welcome

Step-by-step explanation:

and can u help me with my question if u can

Answer:

17/30

Step-by-step explanation:

1. \( \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84\)

2. \( \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78\)

Answer:

median is 2

mean is 6.333

Step-by-step explanation:

arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333