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2 years ago

Which of the following is most likely the next step in the series? ⠀⠀

Mathematics

2 answers:

-Dominant- [34]2 years ago

6 0

The next step in the series is choice D.

aivan3 [116]2 years ago

4 0

Answer:

Step-by-step explanation:

if we define the diagrams in terms of their rows and columns, then

1st : 2 by 1

2nd : 3 by 2

3rd : 4 by 3

note that the rows and columns both increase by 1

then the next likely diagram is

5 by 4 , that is diagram D

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AD = 3x + 4 and CD = x + 6, what is the value of x?

lesantik [10]

Your answer would be x = 1.

The rules for a kite shape is that two pairs are of equal length, which means we can say that AD = CD and thus form an equation:

3x + 4 = x + 6
- x
2x + 4 = 6
- 4
2x = 2
÷ 2
x = 1

I hope this helps!

5 0

3 years ago

Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple o

Scrat [10]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, some of the data is missing, that's why this question can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

$Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0$

When there are Several perfect solutions then the equation is:

$Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0$

When there is also no solution, since it is unlikely then the equation is:

$Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0$

When there is no best solution since it is unbounded then the equation is:

$Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\$

6 0

3 years ago

Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle?

Pani-rosa [81]

Answer:

65 degrees

Step-by-step explanation:

Since complementary angles are 2 angles that add up to 90 degrees, all you have to do is subtract 25 from 90.

When you do that you get 65.

Example: 90 - 25 = 65

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B13%5E%7B2%7D%20%7D%20-12%5E%7B2%7D" id="TexFormula1" title="\sqrt{13^{2} } -12^{2}"

ankoles [38]

Simplify the radical, then combine the numbers.
-131

4 0

3 years ago

Evaluate. 75-2(9-5)²+2³

Andreyy89

$75-2(9-5)^2+2^3$

First, solve the parentheses:

$75-2(4)^2+2^3$

Next, the exponential terms

$75-2(16)+8$

Solve the multiplication:

$75-32+8$

Add and subtract:

$51$

5 0

1 year ago