The value of x is 15.
Solution:
Given ΔPQR 
ΔUTV.
<em>If two triangles are similar, then the corresponding parts are congruent.</em>
Do cross multiplication, we get
⇒ 14(x - 3) = 8(x + 6)
⇒ 14x - 42 = 8x + 48
Add 42 on both sides.
⇒ 14x = 8x + 90
Subtract 8x on both sides.
⇒ 6x = 90
Divide by 6 on both sides.
⇒ x = 15
The value of x is 15.
Answer:
Reflection
Step-by-step explanation:
The line of symmetry is involved in reflection transformations- when you reflect a graph, you can see the line that separates the original image from its reflected one.
This line acts as a line of symmetry because it divides the mirror images.
Answer:
84.5
Step-by-step explanation:
Use trig functions to find x. Trig functions are special relationships which exits between the sides of right triangles. Since you need to find x the hypotenuse and you have the adjacent side to 77 degree angle use cosine.
Cos 77 = 19/x
0.22495 = 19/x
19/0.22495 = x
84.5 = x
If your looking for solutions their will be zero. Since 15+23+7=15+7 is false, there is no solution.
I believe you meant to have...
4x + 17 = 5x + 6...
Move the 4x to the right by subtracting it from both sides which in result you get...
17 = x + 6
Then you want to subtract 6 from the right to the left so you get...
11 = x
OR
If you meant 4 * 17 = 5x + 6 then what you do is multiply the left side which in turn gets...
68 = 5x + 6
Subtract six from the right to the left and you get...
63 = 5x
Divide by 5 then you get..
x = 63/5 or you can also say x = 12.6
