3/2 Find three rational numbers between and 5/2 ?​

6x-2+2x=5-2x+3

-8-2 = -8x -2x

10x - 2 = 8

Answer:

6x in the 1st box, 2 in the 2nd, 2x in the 3rd, 3 in the 4th

Next line:

8x in the 1st, 8 in the 2nd

Next line:

10 in the 1st

Answer:

Mapping congruent triangles

mis the midpoint of ad.

what single transformation is required to map one of

these congruent triangles onto the other?

reflection

o rotation

o translation

o dilation

27

) intro

✓ done

4 of 9​

The single transformation required to map one congruent triangle onto the other is a translation. So, correct option is C.

The given information describes two congruent triangles, triangle ABM and triangle DCM, which share a common side, MC. The lengths of sides BM and MC are given as 27.

To determine the transformation required to map one congruent triangle onto the other, we need to consider the corresponding sides and angles of the triangles.

Since the corresponding sides AB and CD are congruent, and the corresponding side BM and MC are congruent, this suggests a translation transformation. A translation involves shifting the entire shape in a specific direction without any change in size or shape.

Therefore, the single transformation required to map one congruent triangle onto the other is a translation. It would involve moving triangle DCM along the direction of the congruent sides to align it with triangle ABM, while keeping the distances and angles unchanged.

No other transformation (reflection, rotation, or dilation) is needed because the triangles are already congruent, which means they have the same shape and size.

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Complete question is:

m is the midpoint of ad. triangles a b m and d c m are connected at point m. sides a b and c d are congruent. the lengths of sides b m and m c are 27. what single transformation is required to map one of these congruent triangles onto the other?

a. reflection

b. rotation

c. translation

d. dilation

Answer:

[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]

Step-by-step explanation:

Objective:Functions

The table of values range and domain isn't proportional so the answer is exponential.

A exponential function is represented by

[tex]ab {}^{x} [/tex]

The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be

[tex] \frac{1}{4} [/tex]

b=1/4 so plug that in our expression.

[tex]a( \frac{1}{4} ) {}^{x} [/tex]

Let plug in 1,512.

[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]

[tex] \frac{1}{4} a = 512[/tex]

[tex]a = 2048[/tex]

So our function is

[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]

Answer:

$348

Step-by-step explanation:

Unit rate:

Sales clerk: $12/h

Assistant manager: 1/2 x 12= $6/h

Manager: 2 1/2 x 12= $30/h

Now for how long they will work (7.25 hours long):

Sales clerk: 12 x 7.25= $87

Assistant manager: 6 x 7.25= $43.5

Manager: 30 x 7.25= $217.5

In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.

I hope this will help qwq

Answer:

nutella

Step-by-step explanation:

Answer:

5 blue tiles on each row

Step-by-step explanation:

Given

[tex]Tiles = 80[/tex]

[tex]Rows= 8[/tex]

[tex]Color = \{White, Blue\}[/tex]

[tex]White = Blue[/tex]

See comment for original question

Required

The number of blue in each row

First, we calculate the number of tiles in each row.

[tex]Unit = \frac{Tiles}{Rows}[/tex]

[tex]Unit = \frac{80}{8}[/tex]

[tex]Unit = 10[/tex]

The distribution of tiles on each row is:

[tex]White + Blue = Unit\ Tiles[/tex]

[tex]White + Blue = 10[/tex]

On each row, we have: [tex]White = Blue[/tex]

So, the equation becomes

[tex]Blue + Blue = 10[/tex]

[tex]2\ Blue = 10[/tex]

Divide both sides by 2

[tex]Blue = 5[/tex]

Step-by-step explanation:

HOPE IT WILL BE HELPED U DEAR FRIEND

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

Answer:

∠IGH = 50°

Hope this helps! :)

Answer:

f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2

Step-by-step explanation:

Answer:

2x + 8y

Step-by-step explanation:

5x + 5y - 3x + 3y

5x - 3x + 5y + 3y

2x + 8y

Answer:

The data represents data right-skewed because it's numerical data are in the right place and showing the percentage of an event/object.

#LearnwithBrainly

Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$[tex]9.62x[/tex] = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

Answer:

-15

Step-by-step explanation:

7-15xz

Answer:

382=380

Step-by-step explanation:

l don't know the answer but just trying

Rounding to one significant figure is to round the given number into a number where the first digit is a number and the remaining digits are all zeroes.

The number after rounding 382 to 1 significant figure is 400.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

382

We will round to 1 significant figure.

This means the hundred place value must be the only number remaining while keeping all the place values as zero.

Since the tens place value is more than 4.

We can round the hundred place value 3 into 4.

Now,

382 will be 400 when rounded to 1 significant figure.

Thus,

The number after rounding 382 to 1 significant figure is 400.

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Answer:

7

Step-by-step explanation:

it is because 7 is behind the variables

Answer:

Center = (4, -5)

radius = 6

======================================================

Explanation:

The general template of any circle is

(x-h)^2 + (y-k)^2 = r^2

Rewrite the given equation into this form

(x-4)^2 + (y- (-5))^2 = 6^2

We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.

Answer:

7/12

Step-by-step explanation:

fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans

sum of fraction of farm planted with maize and beans  =

[tex]\frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2 + 3}{12} = 5/12[/tex]

1 - 5/12 = 7/12

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3

Answer:

3/32 in^3

Step-by-step explanation:

volume = length * width * height

V=3/4 * 1/2 * 1/4

V= 3/32

Answer:

3/32inches^2

Step-by-step explanation:

Answer and Step-by-step explanation:

You are being asked to find the area of a trapezoid. The area of a trapezoid is:

[tex]\frac{a+b}{2}[/tex] × h

Where:

a = Top base

b = Bottom base

h = Height

Plug in the values given to you via from the page.

[tex]\frac{7+11}{2} (3)\\\\\\\frac{18}{2}(3)\\\\(9)(3) = 27[/tex]

The answer (the area) is 27 [tex]cm^2[/tex].

#teamtrees #PAW (Plant And Water)

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

Answer:

3053 in^3

Step-by-step explanation:

volume of a sphere is 4/3*pi*r^3

Diamaeter is 2*r

so r=9

7/3*(3.14)*9^3=3053.63 so answer is D or the bottom

Answer:

whats?

Step-by-step explanation:

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

=====================================================

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

=====================================================

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

Answer:

1. The given equation is presented as follows;

[tex]3^{2 \cdot x - 1} = \dfrac{1}{9}[/tex]

The above equation can be rewritten as follows;

[tex]3^{2 \cdot x - 1} = 3^{-2}[/tex]...(1)

Therefore, taking logarithm to base 3 of both sides of the equation, the above equation can be rewritten without an exponent as follows;

[tex]log_3 \left (3^{2 \cdot x - 1} \right) =log_3\left(\dfrac{1}{9} \right) = log_3 \left( 3^{-2} \right)[/tex]...(2)

2. Inverse relationship of exponents is given as follows;

(1/a)ˣ = a⁻ˣ

Therefore, we have;

1/9 = 1/(3²) = (3²)⁻¹ = 3⁻²

Taking log of both sides of [tex]\left (3^{2 \cdot x - 1} = \dfrac{1}{9} = 3 ^{-2}\right)[/tex] gives;

[tex]log_3 \left (3^{2 \cdot x - 1} \right)= log_3 \left( 3^{-2} \right)[/tex]

From logarithm rules, we have;

From equation (2), we have;

[tex](2 \cdot x - 1) \cdot log_3 3 = -2 \cdot log_3 3[/tex]

Therefore, the equation can be simplified by dividing both sides by the common factor, [tex]log_3 3[/tex], as follows;

[tex]\dfrac{(2 \cdot x - 1) \cdot log_3 3 }{log_3 3} = \dfrac{-2 \cdot log_3 3}{log_3 3}[/tex]

Therefore, we get;

2·x - 1 = -2...(3)

3. Solving 2·x - 1 = -2, gives;

2·x - 1 = -2

2·x = -2 + 1 = -1

x = -1/2 = -0.5

x = -0.5

EQUATION 3

The given equation is presented as follows;

[tex]125^{x - 1} = 5^x[/tex]

1. By the property of exponents, we have;

[tex]\left(a^b \right)^x = a^{b \times x}[/tex]

125 = 5³

Therefore, we get;

[tex]125^{x - 1}= \left(5^3\right)^{x - 1} = 5^{3\times (x - 1)} = 5^{(3\times x - 3)}[/tex]

[tex]125^{x - 1}= 5^{(3\times x - 3)}[/tex]

2. Given that we can rewrite the given equation as follows;

[tex]125^{x - 1} = 5^{(3\times x - 3)} = 5^x[/tex]

Therefore;

[tex]5^{(3\times x - 3)} = 5^x[/tex]

Both sides of the equation are given in powers of 5, therefore, the appropriate base logarithm to use on both sides to rewrite the equation is logarithm to base 5

3. Using logarithm, by applying logarithm to both sides, we get;

[tex]log_5 \left (5^{(3\times x - 3)} \right) = log_5 \left(5^x \right)[/tex]

[tex](3\times x - 3) \cdot log_5 5 = x \cdot log_5 5[/tex]

Dividing both sides by log₅5 gives;

[tex]\dfrac{ (3\times x - 3) \cdot log_5 5}{log_5 5} = \dfrac{ x \cdot log_5 5}{log_5 5}[/tex]

∴ 3 × x - 3 = x

3 × x - x = 3

2·x = 3

x = 3/2 = 1.5

x = 1.5

Step-by-step explanation: