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docker41 [41]
3 years ago
11

What is the value of x in the diagram?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
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Zane needs 20 yards of fencing to go around his rectangular yard. What are possible dimensions for Zane's yard? Select all that
stiv31 [10]

Answer:

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Step-by-step explanation:

the perimeter of the rectangular yard needs to be 20 yards

Perimeter of a rectangle = 2 x ( length + width)

20 = 2 x ( length + width)

( length + width) = 20 /2

( length + width) = 10

The sum of the length and width should equal 10

Possible dimensions that would equal 10 are :

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

7 0
3 years ago
Can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. T
Greeley [361]

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

4 0
3 years ago
The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is th
Verizon [17]

____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

              ↓

      √9 = √c²

             ↓

         3  = c

3 miles would be your FINAL answer.

____________________________________________________

4 0
3 years ago
Evaluate 13 - x when x = 9.
gulaghasi [49]

Answer:

13 - x  \\ here \: given \: that \: x = 9 \\ then \\ 13 - 9 = 4 \\ thank \: yo

4 0
3 years ago
Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
saw5 [17]

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

7 0
3 years ago
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