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KengaRu [80]
3 years ago
9

△ACD∼△BED What is the value of x?

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

C. 5

Step-by-step explanation:

Triangle BED is enlarged by scale factor 4.

(25-x)/4 = x

Multiply both sides by 4.

25-x = 4x

Add x on both sides.

25 = 5x

Divide both sides by 5.

5 = x

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A rideshare service charges a flat fee of $6.00, plus $1.50 for every mile driven. Let t represent the total cost of the ride, a
galina1969 [7]

Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

  • What is the independent variable?

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

  • What is the dependent variable?

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

  • Write an equation representing this relationship:

t = $6 + ($1.50 x m)

  • Complete the table to show the total cost for riding 3 to 10 miles:

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

3 0
2 years ago
GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

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

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

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

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0
3 years ago
-10x - 135 = 117 + 2x<br> A. 25<br> B. -18<br> C. -21<br> D. 22 <br> Helps pls
Lina20 [59]

Answer:

C

Step-by-step explanation:

Add 10x to both sides:

-10x - 135 = 117 + 2x

-10x - 135 + 10x = 117 + 2x + 10x

-135 = 117 + 12x

Subtract 117 from both sides:

-135 - 117 = 117 + 12x - 117

-252 = 12x

Divide both sides by 12:

\frac{-252}{12} = \frac{12x}{12}

-21 = x

So the answer is C.

Hope this helps!

6 0
2 years ago
Read 2 more answers
Fill in the missing number in this sequence:<br> { } 216, 36, 6, 1
schepotkina [342]

Answer:

1296

Step-by-step explanation:

times each number by 6

example: 1x6=6 6x6=36 36x6=216 216x6=1296

8 0
2 years ago
Read 2 more answers
Find the distance between -3 and 4.<br><br> A) -12 <br> B) -7 <br> C) -1 <br> D) 7
bonufazy [111]
The answer is 7 because add them to see the distance since it’s both positive if you count the distance it is away from zero so 3+4=7
7 0
3 years ago
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