Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴
= 
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴
= 
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
If you are looking for just any equivalent fraction then 34/1600 is the same as 17/800
Answer:
x < ( -2b+8)/-a
Step-by-step explanation:
-ax + 2b > 8
Subtract 2b from each side
-ax + 2b-2b >-2b+ 8
-ax > -2b+8
Divide each side by -a, remembering to flip the inequality
-ax /-a < (-2b+8)/ -a
x < ( -2b+8)/-a
The scale factor that Ivory used to create their scaled copy is;
<u><em>Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.</em></u>
- From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals
- Now, from the image, we are told that the area of the scaled copy is 48 square units.
What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.
- Now, if one interval of the graph is x-units, then it means;
length; y-axis = 3x units
width; x-axis = x units
- Area of a rectangle is given by;
Area = Length × width
Thus;
3x * x = 48
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>
Read more at; brainly.com/question/17182684
Answer:
domain= all real numbers
Range= y>=0
Step-by-step explanation: