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Neko [114]
3 years ago
12

ABC has been translated 5 units to the right, as shown in the diagram. What is the length of ?

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0

Answer:

(A) 15 centimeters

Step-by-step explanation:

A midsegment of a triangle is always 2 things:

Half the size of the bottom of the triangle (in this case AC)

Parallel to the bottom of the triangle.

Since ABC is an equilateral triangle, we know that EVERY side is 30cm, including AC.

So the midsegment of ABC, LM, must be 15 cm.

Hope this helped!

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Solve the following linear programming problem by applying the simplex method to the dual problem.
Law Incorporation [45]

Answer:

Objective Function: P = 2x + 3y + z

Subject to Constraints:

3x + 2y ≤ 5

2x + y – z ≤ 13

z ≤ 4

x,y,z≥0

Step-by-step explanation:

3 0
3 years ago
Following are the :
Svetlanka [38]

Answer:

Median = 241

Step-by-step explanation:

The median is the number in the middle when the variables are arranged in ascending or descending order.

The raw set of data is

177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247;

241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215;

185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

Arranged in ascending order,

174, 177, 178, 184, 185, 185, 185, 185, 188, 190, 200, 205, 205, 206, 210, 210, 210, 212, 212, 215, 215, 220, 223, 228, 230, 232, 241, 241, 242, 245, 247, 250, 250, 259, 260, 260, 265, 265, 270, 272, 273, 275, 276, 278, 280, 280, 285, 285, 286, 290, 290, 295, 302

There are 53 variables in the data set, the median would be at the middle of the distribution, that is, at the (53 + 1)/2 position.

That gives the 27th position.

The median = variable at the 27th position when the dataset is arranged in ascending or descending order

Median = 241.

Hope this Helps!!!

6 0
3 years ago
Does anybody know this
Makovka662 [10]

Answer:

1) 75°

2)

3) 135°

4) 105°

7 0
3 years ago
Amanda has at most $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 dollars and spend the rest on li
Mkey [24]

Answer:

x ≤ 2

Step-by-step explanation:

2 red rose cost  $ 18

x flowers cost $ 11x

"At most "  means ≤.

11x + 18 ≤ 40

11x ≤ 40 - 18

11x ≤ 22

x ≤ 2

5 0
3 years ago
Please please help. The table list the heights of four trees, Sycamore 15 and 2/3, Oak 14 and 3/4, Maple 15 and 3/4, Birch 15.72
ladessa [460]
Sycamore=15.6 recurring
Oak=14.75
Maple=15.75
Birch=15.72
Therefore, A and B are true
6 0
3 years ago
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