Find the solution of the system of equations
8x + 7y = 47
-4x - 5y = -25

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer:

[tex] \frac{ - 6}{3} \times \frac{ - 9}{2} = \frac{6 \times 9}{6} = 9[/tex]

Answer:

Step-by-step explanation:

Show that if 3x – 7 = 5, then x = 4.

Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.

x=4

Statements Reasons

1. 3x – 7 = 5 Given

2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)

3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)

4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)

5. 3x = 12 Substitution of 5 + 7 = 12 into (4)

6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3

7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)

8. x = 4 Substitution of 12⁄3 = 4 into (7)

Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:

Answer:

subtract 3 from the product of 9 and m

Hello!

Answer:

The answer is C

Step-by-step explanation:

I wrote it in to my graphing calculator

Hope this helps!

Answer: 231/10

Step-by-step explanation: 11/5 x 21/2

= (11 x 21) = 231  

= 231/5 x 2

=  231/10

Answer:

3 hours

Step-by-step explanation

It would be easier to convert your fractions into decimals.

1/5 is the same as 2/10.  Since the denominator was multiplied by 2 then the numerator must be multiplied by 2 also.

2/10 in decimal form is 0.2

He would practice 1.2 hours per day on school days

On Saturday his practice is 2 1/2 times longer than 1.2 hours.

Convert 1/2 into decimal form. 1/2 is the same as 0.5.

So 2 1/2 is the same as 2.5

If you multiply the original time (1.2 hours) by 2.5, you'll know how long he practices on Saturday.

1.2 x 2.5  = 3 hours.

    1.2

 x 2.5

  -------

     60

   24  

------------

   300          

since you have 1 decimal place in the top number and 1 decimal in the bottom number, you must move your decimal 2 places to the left on your answer.  Instead of 300, your answer becomes 3.00

Answer:

-16a-8

Step-by-step explanation:

(

2

−

1

)

(

2

−

1

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−

(

2

+

3

)

(

2

+

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{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)

(2a−1)(2a−1)−(2a+3)(2a+3)

2

(

2

−

1

)

−

1

(

2

−

1

)

−

(

2

+

3

)

(

2

+

3

)

Answer:

− 1 6 − 8

Step-by-step explanation:

Answer:

y = $7.50x + $13.50

Step-by-step explanation:

I need the whole question, but I am guessing you need the equation above

Have a nice day! :-)

Answer:

$21.00

Step-by-step explanation:

$13.50+$7.50=$21.00

Answer:

The first one.

Step-by-step explanation:

Functions do not have repeating x values.

8x² - 24 = 8 (x² - 3)

Answer:

5x(3 - 4y)

Step-by-step explanation:

Answer:

5x(3-4y)

Step-by-step explanation:

Answer:

The x-axis

Step-by-step explanation:

This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.

So, the line is [tex]y=0[/tex], i.e. the x-axis.

So, graph the x-axis and we're done!

Answer:

Step-by-step explanation:

you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).

check the things in brackets that how the site its called.

Step-by-step explanation:

if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.

Answer:

10 percent is the answer

Answer: C

Step-by-step explanation:

Answer:

[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]

I hope I helped you^_^

Answer:

1700-1540=160

Answer:

1700-1540=160

mp=160/1540*1700

17'1630

The maximum distance between them is the diameter of the circle, which is of 44 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The diameter is twice the radius, and is the maximum distance between two points on the same circle.

They are running on a circular path, modeled by:

[tex]x^2 + y^2 - 10x - 18y = 378[/tex]

Completing the squares, the equation is:

[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]

Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.

A similar problem is given at https://brainly.com/question/25008198

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

Answer:

238 miles

Step-by-step explanation:

Subtract total cost with truck fee cost which makes it 228.48 then divide by the cost of each mile driven which is 96 cents, so it would be 238 miles

Hope this helps :)

Answer: -13 and 64

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Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The values of :

The given equations are :

now, let's multiply both the equations with 10 on both sides.

so, now our equations will be :

from Equation second :

now, let's substitute the value of y from here into Equation first.

here, we got the value of x = 2, let's plug it in equation second to find value of y :

And value of y = 3

Answer:

Option C.

Step-by-step explanation:

First, simplify the inequality. Add 2 to both sides:

4v - 2 < 10

4v - 2 + 2 < 10 + 2

4x < 12

Divide both sides by 4:

4x ÷ 4 < 12 ÷ 4

x < 3

As 3 will not satisfy the inequality, it is not a solution. The option that shows x being less than 3 but not including is option C.

Hope this helps!

Answer:

Domain: [-2, ∞)

Range: [-4, ∞)

General Formulas and Concepts:

Algebra II

Coordinate Planes

Step-by-step explanation:

According to the graph, we see that our x-value stretches from x = -2 to infinity. Since x = -2 is a closed dot, it is included in the domain:

[-2, ∞) or -2 ≤ x < ∞

According to the graph, we see that our y-value stretches from y = -4 to infinity. Since y = -4 is a closed dot, it is included in the range:

[-4, ∞) or -4 ≤ y < ∞

Answer:

8.4

Step-by-step explanation:

+82

-5x+2>44

-2

-5x>42

divde by +5

x=8.4

Answer:

97

Step-by-step explanation:

100 - 3 = 97