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hammer [34]
3 years ago
14

If dh = 4x – 17 and fh = x 13, find the value of x for which defg must be a parallelogram. 10 8 6 7

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
If DEFG is a parallelogram, then DF is a diagonal of a parallelogram.
DH = FH
4 x - 17 = x + 13
4 x - x - 17 = x - x + 13
3 x - 17 = 13
3 x - 17 + 17 = 13 + 17
3 x = 30
x = 30 : 3
x = 10
Answer:
A ) x = 10
 
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What is the angle of rotation of the figure? A.0° B.90° C.120° D.180°
-BARSIC- [3]

Answer:

B. 90

Step-by-step explanation:

angle of rotation = 360/4= 90

7 0
3 years ago
An avid golf fan recorded the scores of 75 golfers on the ninth hole of the Cottonwood Golf Course as follows :
Vadim26 [7]

Answer:

<u>The correct answer is 3.77 strokes as the average score for the ninth hole of the Cottonwood Golf Course.</u>

Step-by-step explanation:

1. To find the average score, we need to know how many strokes the 75 golfers needed to play this ninth hole. For doing that, we will do the following addition, using the frequency data given:

1 x 1 = 1

1 x 2 = 2

32 x 3 = 96

27 x 4 = 108

8 x 5 = 40

6 x 6 = 36

1 + 2 + 96 + 108 + 40 + 36

<u>283</u>

<u>This means that all the 75 golfers scored 283 strokes for playing the ninth hole</u>

2. Now that we know that the total number of strokes was 283, we will do a division for find the average score, using also the number of golfers. For doing it, we will do the following division:

Total number of strokes/ total number of players

<u>283/75 = 3.77</u>

<u>The average score is 3.77. It means that the 75 golfers in average hit 3.77 strokes to play the ninth hole.</u>

3 0
3 years ago
5x-25=-10<br><br> Please HELP
solong [7]

Answer:

We simplify the equation to the form, which is simple to understand  

5x+25=10

We move all terms containing x to the left and all other terms to the right.  

+5x=+10-25

We simplify left and right side of the equation.  

+5x=-15

or this is another way

Simplifying

5x = 25 + -10

Combine like terms: 25 + -10 = 15

5x = 15

Solving

5x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 3

Simplifying

x = 3

We divide both sides of the equation by 5 to get x.  

x=-3

3 0
3 years ago
Read 2 more answers
Please show your work and help
Levart [38]

Answer:

22.5 cm

Step-by-step explanation:

An equilateral triangle has 3 equal sides

perimeter is the sum of all 3 sides, hence

perimeter = 3 × 7.5 = 22.5 cm


8 0
3 years ago
Describe how the graph of y = x2 can be transformed to the graph of the given equation.
Vikki [24]
 <span>1.Describe how the graph of y = x2 can be transformed to the graph of the given equation. 

y = (x+17)2 

Shift the graph of y = x2 left 17 units. 


2.Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = (x-4)2-8 

Shift the graph of y = x2 right 4 units and then down 8 units. 


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f(x) = x2 and g(x) = -(-x)2 

Reflect the graph of f across the y-axis and then reflect across the x-axis. 

Question 4 (Multiple Choice Worth 2 points) 

Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = x2 + 8 

Shift the graph of y = x2 up 8 units. 


Question 5 (Essay Worth 2 points) 

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. 
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x 

f(x) = √x, g(x) = 8√x 

vertical stretch factor 8
Plz mark as brainlest</span>
5 0
3 years ago
Read 2 more answers
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